CN100350131C - 第二级涡轮叶片的翼面 - Google Patents
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Abstract
第二级叶片(22)具有基本上按照表1中列出的X,Y和Z笛卡几坐标值的翼面轮廓,其中X和Y值用英寸表示,Z值为沿着与涡轮半径方向一致的叶片中心线的无因次值。通过将Z值乘以翼面高度,并将其结果与根部半径相加,可将该无因次值转换为离所述涡轮轴线的以英寸表示的Z距离。X和Y距离可作为同一个常数或数字的函数按比例改变,形成叶片的比例放大或缩小的翼面截面。由X、Y和Z距离给出的名义翼面处在±0.160英寸的包络面内。
Description
发明领域
本发明涉及燃气涡轮级的涡轮叶片,尤其涉及第二级涡轮叶片翼面轮廓。
背景技术
近年来,为了满足系统效率和负载的要求,先进的燃气涡轮有提高燃烧温度的趋势。因此,涡轮叶片的设计和结构要求空气动力学效率最优,以及叶片的空气动力学和机构负荷最优。
发明概述
根据本发明的一个优选实施例,提供了涡轮级,最好是第二级燃气涡轮的叶片的一种独特的涡轮叶片翼面轮廓。叶片翼面轮廓是由能满足必要的效率和承载要求的点的独特轨迹确定的,因而可改善涡轮的性能。这些点的轨迹确定翼面的名义轮廓,并由下面的表1中的X,Y和Z笛卡几坐标给出。表1所示的3600个点的坐标值是沿着长度方向的叶片翼面各种横截面上的冷温度(即室温)轮廓的坐标值。X和Y坐标用距离尺寸(例如以英寸为单位)给出,并且在每一个Z位置平滑地连接,形成一个平滑的连续的翼面横截面。Z坐标是以沿着与回轴轴线半径方向一致的叶片中心线的0~1的无因次形式给出的。将翼面高度尺寸(例如英寸)与表1中的无因次Z值相乘,并将该值与叶片的根半径相加,可得出离回转轴线的实际Z距离(例如英寸)。每一个确定的横截面平滑地跟相邻的横截面连接,形成完整的翼面形状。
应懂得在使用中,每一个叶片翼面被加热,由于应力和温度的作用,轮廓会改变。因此,为了制造目的,冷温度或室温轮廓用X,Y和Z坐标给出。因为制造的叶片翼面轮廓可能与下表给出的名义翼面轮廓不同,因此,在与沿着名义轮廓和包括任何涂层的任何表面位置垂直的方向上的名义轮廓上正或负0.160英寸的距离可确定这个叶片翼面的轮廓包络面。对于这种变化的设计是很可靠的,不会损害机械和空气动力学功能。
另外,还应懂得,为了能用在同样的涡轮设计中,翼面和比例几何上可以放大或缩小。因此,下面给出的名义翼面轮廓的以英寸表示的X和Y坐标,和转换为英寸的Z坐标为同一个常数或数字的函数。即:在保持翼面截面形状的同时,X和Y及Z坐标以英寸表示的值,可以用相同的常数或数字乘或除,以得到该叶片翼面轮廓的比例放大或缩小的形式。
在根据本发明的一个优选实施例中,提供了一种涡轮叶片,它的叶片翼面包络面形状在与任何翼面表面位置垂直的方向上在±0.160英寸内,其中,该翼面具有基本上按照表1中列出的X、Y和Z笛卡几坐标值的名义轮廓;其中,Z为沿着与涡轮回转轴线半径方向一致的叶片中心线的无因次值,通过将Z值乘以翼面高度,并将其乘积与叶片的根部半径相加,可将该无因次值转换为离所述涡轮轴线的Z距离;其中,X和Y为确定在每一个距离Z处的翼面轮廓的以英寸表示的距离,在Z距离处的轮廓彼此平滑地连接,形成一个完整的翼面形状。
在根据本发明的另一个优选实施例中,提供了一种涡轮叶片,它具有基本上按照表1的X、Y和Z坐标值的没有涂层的名义翼面轮廓,其中,Z为沿着与涡轮回转轴线半径方向一致的叶片中心线的无因次值,通过将Z值乘以翼面高度,并将其乘积与叶片的根部半径相加,可将该无因次值转换为以英寸表示的Z距离;其中,X和Y为确定在每一个距离Z处的翼面轮廓的以英寸表示的距离,在Z距离处的轮廓互相平滑地连接,形成一个完整的翼面形状;X和Y距离可作为同一个常数或数字的函数按比例改变,形成比例放大或缩小的叶片翼面。
在本发明的又一个优选实施例中,提供了一种涡轮机,它包括具有多个叶片的一个涡轮叶轮,每一个所述的叶片在与任何翼面表面位置垂直的方向上的翼面包络面形状在±0.160英寸内;其中该翼面具有基本上按照表1中的X、Y和Z笛卡几坐标值的名义轮廓;其中,Z为沿着与涡轮回转轴线半径方向一致的叶片中心线的无因次值,通过将Z值乘以翼面高度,并将其乘积与叶片的根部半径相加,可将该无因次值转换为离所述涡轮轴线的以英寸表示的Z距离;其中,X和Y为确定在每一个距离Z处的翼面轮廓的以英寸表示的距离,在Z距离处的轮廓彼此平滑地连接,形成一个完整的翼面形状。
在根据本发明的再一个优选实施例中,提供了一种涡轮,它包括具有多个叶片的涡轮叶轮,每一个所述叶片具有基本上按照表1列出的X、Y和Z笛卡几坐标值的没有涂层的名义翼面轮廓,其中,Z为沿着与涡轮回转轴线半径方向一致的叶片中心线的无因次值,通过将Z值乘以翼面高度,并将其乘积与叶片的根部半径相加,可将该无因次值转换为以英寸表示的Z距离;其中,X和Y为确定在每一个距离Z处的翼面轮廓的以英寸表示的距离,在Z距离处的轮廓互相平滑地连接,形成一个完整的翼面形状;X和Y距离可作为同一个常数或数字的函数按比例改变,形成比例放大或缩小的叶片翼面。
附图简述
图1为表示第二级涡轮采用本文所述的叶片和叶片翼面的涡轮的示意图;
图2为包括根据本发明的优选实施例的翼面和柄部的第二级涡轮叶片的顶缘、尾缘和压力侧的透视图。
图3为包括所述翼面的叶片的侧视图。
图4为叶片的顶部平面图;和
图5为叶片翼面的后负压侧的透视图。
优选实施例详述
参见图1,图中表示涡轮10的一部分,其中可以采用具有所述翼面轮廓的第二级涡轮叶片22。涡轮10包括一个转子12,它具有连同转子各个级相应的定子叶片26,28和30的叶片20,22和24的第一,第二和第三级转子叶轮14、16和18。图中表示了三级涡轮。
第二级包括转子叶轮16,其上与上游的定子叶片28轴向相对,安装着叶片22。在第二级轮16周围,在圆周方向彼此间隔地安装着多个叶片22,在这种情况下,在第二级轮16周围,安装着92个叶片。
图2表示根据本发明制造的涡轮叶片22,它包括安装在平台34上的翼面40。涡轮叶片还分别包括前后空间密封,即杂散反射翼(angelwing)36和38。叶片22利用图中没有示出的装置安装在涡轮叶轮16上。翼面40和平台34总称为叶片22。翼面40的轮廓包括带有负压侧和压力侧42和44,以及前缘46和后缘48的复合曲率。
表1给出的笛卡几坐标系统的X,Y和Z值确定了翼面40的轮廓。虽然可以使用其他尺寸单位,但在表1中的X和Y坐标值用英寸表示。表1中的Z值用沿着与回转轴线半径方向一致的叶片中心线的0~1的无因次形式给出。为了将距离涡轮回转轴线的Z值转换为Z坐标值(例如英寸),要将表1给出的无因次Z值乘以以英寸表示的翼面40的高度,并将其乘积与以英寸表示的根部半径相加。翼面高度是从沿着涡轮中心线或轴线半径的叶片中心线与流动通道的根部半径的交点测量的。与优选实施例的第二级的每一个叶片的根部半径的这个交点的Z坐标值为46.530英寸。本优选实施例中的距离根部半径的第二级翼面叶片的高度为13.63英寸。笛卡几坐标系的X、Y和Z轴为正交关系,而Z轴则是在与包含X和Y值的平面垂直的平面上垂直地延伸的。当转换为英寸时,Z距离在涡轮中心线上,在0处开始。Y轴与涡轮转子中心线,即转子轴线平行。
通过确定在与X,Y平面垂直的Z方向上,在所选择位置上的X和Y坐标值,可以确定翼面40的轮廓。利用平滑的连续圆弧将X和Y值连接起来,可得到在每一个距离Z时的每一个轮廓部分。通过将相邻的横截面彼此平滑地连接,形成翼面,可以确定距离Z之间的各个表面位置的表面轮廓。这些值代表在周围不工作或不热的条件下的翼面轮廓,并且是没有涂层的翼面的轮廓。如一般在笛卡几坐标系中使用的一样,符号习惯是Z值为正值,X和Y坐标为正值和负值。
表1中产生到小数第三位的值,用于确定翼面轮廓。通常有制造公差以及涂层,这是在翼面的实际轮廓中必需考虑的。因此,表1中给出的轮廓值是名义翼面的值。应当知道,一般包括涂层厚度的制造公差(即±值)要加到表1中给出的X和Y值中。因此,在与沿着翼面轮廓的任何表面位置垂直的方向上的±0.160英寸距离,确定这个特定的叶片翼面设计和涡轮的翼面轮廓包络面。
下面的表1给出的坐标值形成优选的名义轮廓包络面。
表1
X | Y | Z′ | X | Y | Z′ | X | Y | Z′ |
-1.672-1.429-1.614-1.734-1.725-1.631-1.485-1.496-1.731-1.693-1.518-1.357-1.557-1.734-1.453-1.692-1.273 | 0.1750.9080.1520.2780.3780.6120.1340.8250.3440.4800.1370.9870.7370.3110.1300.1880.113 | 0.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.000 | -1.522-1.268-1.684-1.406-1.722-1.538-1.597-1.722-1.664-1.475-1.615-1.711-1.678-1.358-1.718-1.485-1.632 | 0.1730.1410.2290.9360.3520.7710.1880.3190.2150.8550.6480.4180.5190.1510.3850.1670.199 | 0.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.035 | -1.697-1.477-1.701-1.351-1.561-1.589-1.705-1.663-1.599-1.520-1.420-1.515-1.472-1.707-1.710-1.690-1.709 | 0.4580.2010.3100.1820.7450.2250.4250.5570.6840.8030.9250.2080.8650.3340.3600.2880.392 | 0.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.069 |
X | Y | Z′ | X | Y | Z′ | X | Y | Z′ |
-1.664-1.644-1.721-1.582-1.730-1.596-1.716-1.298-1.709-1.550-1.059-0.960-1.033-0.885-0.952-1.172-0.818-1.104-0.809-1.237-1.166-0.554-0.025-0.649-0.2500.062-0.426-0.098-0.685-0.177-0.300-0.056-0.408-0.1730.132-0.488-0.329-0.7300.046-0.5680.7460.5281.0290.4500.6380.301 | 0.5470.1610.2280.1460.2520.6750.4111.0440.2060.1410.0871.2651.2321.2930.0691.1470.0411.1921.3141.0970.101-0.0341.1361.3331.256-0.326-0.0811.1810.007-0.193-0.134-0.2571.3071.2211.0241.3231.2851.3271.0891.331-0.844-0.659-1.1120.730-0.750-0.485 | 0.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.000 | -1.271-1.711-1.447-1.648-1.578-1.702-1.331-1.718-1.560-1.700-1.207-0.850-1.054-0.999-0.813-1.141-1.161-0.947-0.926-1.071-0.680-0.145-0.299-0.296-0.071-0.615-0.054-0.773-0.422-0.2210.0010.1560.070-0.535-0.695-0.3760.064-0.174-0.550-0.4550.8860.2380.3010.4690.4150.184 | 1.0650.2690.1620.5840.7100.4511.0110.2940.1790.2471.1141.2890.1121.2370.0661.1600.1270.0941.2661.2010.0311.1971.263-0.1091.1571.319-0.2321.306-0.0561.2331.1131.0011.0651.3151.3161.286-0.302-0.168-0.0101.304-0.9580.932-0.4620.708-0.548-0.379 | 0.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.035 | -1.440-1.307-1.261-1.365-1.688-1.623-1.552-1.633-1.674-1.656-0.895-1.180-0.941-0.807-1.101-0.819-1.112-1.042-0.969-1.245-0.5050.175-0.050-0.349-0.273-0.544-0.291-0.5850.066-0.742-0.664-0.196-0.4160.023-0.170-0.427-0.6740.091-0.121-0.0480.7070.4840.3350.1850.3020.912 | 0.1951.0340.1700.9810.4900.2380.2160.6220.2700.2551.2681.1320.1200.0910.1481.2881.1741.2111.2431.0851.3020.982-0.2081.2701.2450.016-0.0841.308-0.2781.3011.3081.214-0.0311.094-0.1431.2890.0571.0461.1781.1380.4290.6910.842-0.357-0.4400.152 | 0.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.069 |
X | Y | Z′ | X | Y | Z′ | X | Y | Z′ |
0.6821.0960.4160.2970.1830.3750.8890.5680.8960.2160.7910.9981.2591.3051.5331.4151.3601.5211.6211.5761.2981.1911.4271.4811.1651.9791.8982.0872.0572.1031.9341.9062.0051.8812.0972.1052.0781.9161.7181.9972.1022.0731.8352.0402.0512.065 | 0.466-0.105-0.5700.883-0.4040.808-0.9760.6000.1860.9550.3270.042-0.365-0.442-1.663-0.633-0.535-0.826-1.022-0.932-1.394-0.253-1.540-0.752-1.252-2.217-2.139-2.182-2.210-2.145-2.187-1.636-2.222-2.113-2.164-2.124-2.042-2.164-1.220-1.851-2.104-2.198-2.047-2.217-1.979-2.010 | 0.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.000 | 0.9050.7441.1000.5270.6370.6961.0251.0040.5850.8020.3950.3181.2911.5711.6121.5141.1591.4651.4111.1931.5231.4191.3041.3661.6252.0392.0461.8941.9682.0592.0681.7241.9221.8662.0821.8801.6661.9861.7702.0332.0721.9081.8201.8802.0852.084 | 0.167-0.825-0.122-0.638-0.7300.445-1.0960.0240.5790.3080.7850.860-1.381-0.951-1.034-0.840-1.237-0.747-0.648-0.270-1.653-1.528-0.458-0.567-1.780-2.210-2.014-2.149-2.219-2.045-2.184-1.910-2.187-2.108-2.107-2.128-1.144-2.222-1.368-1.982-2.077-2.169-1.479-1.617-2.127-2.147 | 0.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.035 | 0.7410.8821.0090.5270.4110.2571.0190.6350.4150.5981.1020.8111.3471.1921.6021.4621.4091.2831.1531.4931.3011.5501.5051.5621.4051.8652.0592.0651.9861.9202.0491.8512.0262.0391.9511.9352.0621.8661.7102.0661.9681.9632.0141.7421.8791.906 | -0.808-0.9430.009-0.6190.7670.913-1.082-0.712-0.5280.562-0.1370.292-0.553-0.284-1.044-0.768-1.519-1.371-1.225-1.622-0.471-0.940-0.851-1.709-0.660-2.124-2.167-2.149-2.221-2.200-2.185-2.103-2.016-2.048-2.218-2.211-2.109-1.628-1.904-2.129-2.221-1.860-1.985-1.345-2.144-2.184 | 0.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.069 |
X | Y | Z′ | X | Y | Z′ | X | Y | Z′ |
1.8341.8772.0231.9551.6371.7871.7381.7722.0921.6731.944 | -1.471-1.570-2.221-2.205-1.789-1.981-1.916-1.336-2.073-1.126-1.724 | 0.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.000 | 1.9281.9371.7072.0782.0222.0042.0541.8201.7721.9521.981 | -1.730-2.203-1.231-2.166-2.218-2.221-2.199-2.041-1.975-2.212-1.856 | 0.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.035 | 1.8921.6521.7811.6942.0521.6452.0032.0361.9111.8052.020 | -2.164-1.150-2.003-1.239-2.079-1.817-2.218-2.200-1.735-1.486-2.211 | 0.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.069 |
X | Y | Z′ | X | Y | Z′ | X | Y | Z′ |
-1.155-1.506-1.221-1.698-1.503-0.792-1.649-1.094-1.579-1.618-1.453-1.015-1.583-1.432-1.343-1.469-0.814-1.086-1.543-1.664-1.400-1.344-1.614-0.867-1.689-1.675-1.679-0.942-1.285-1.697-1.545-0.934 | 1.1490.2441.1060.4000.8361.2890.5940.1780.2630.6580.8961.2220.7190.2300.2150.2370.1221.1880.2530.3100.9531.0070.2771.2730.3500.5280.3281.2511.0580.4320.7790.149 | 0.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.103 | -1.635-1.662-1.679-1.653-1.324-1.668-1.686-1.435-1.459-1.683-1.569-1.422-1.678-1.604-1.333-1.684-1.264-1.636-1.603-1.486-1.568-1.529-1.496-1.533-1.381-1.671-0.917-1.132-1.244-0.842-0.926-0.806 | 0.3340.5660.5030.3491.0330.3680.4390.9260.2730.4140.3020.2660.3900.6940.2500.4711.0820.6310.3160.8680.7540.8120.2820.2910.9820.5351.2601.1680.2361.2790.1790.151 | 0.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.138 | -1.304-1.485-1.671-1.418-1.665-1.623-1.641-1.659-1.622-1.592-1.553-1.322-1.522-1.667-1.513-1.655-1.469-1.411-1.672-1.558-1.673-1.448-1.590-1.649-1.363-0.893-0.916-1.243-1.178-0.796-1.040-1.074 | 1.0600.3200.4530.9570.4290.3730.3880.5730.6680.3550.7890.2870.3290.5410.8460.4070.9000.3040.5100.3410.4780.3120.7300.6041.0101.2710.2111.1061.1490.1821.2200.244 | 0.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.172 |
X | Y | Z′ | X | Y | Z′ | X | Y | Z′ |
-1.695-1.692-1.253-1.646-1.684-0.029-0.402-0.250-0.350-0.578-0.136-0.325-0.637-0.100-0.1740.0410.069-0.715-0.695-0.4630.109-0.242-0.558-0.480-0.0321.1010.5250.7151.0120.6330.8770.3030.8181.0100.4240.4150.2720.7380.6080.9160.4961.1440.1880.3490.1921.390 | 0.3740.4650.2020.2950.4971.1221.2771.231-0.0310.055-0.1351.2571.3031.1631.1991.078-0.2561.2990.0910.0141.031-0.0811.3011.292-0.193-0.149-0.6020.415-1.071-0.697-0.931-0.4210.278-0.0040.753-0.5100.898-0.7940.5480.1380.676-1.216-0.3360.8270.966-0.657 | 0.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.103 | -1.062-0.991-1.085-1.199-0.380-0.767-0.082-0.155-0.535-0.0280.073-0.236-0.230-0.131-0.690-0.457-0.6870.124-0.456-0.613-0.570-0.304-0.012-0.3440.0571.1341.0100.4150.5050.5240.8700.1900.7210.3610.9181.0990.3040.4340.2060.6290.8220.7331.0040.6160.2851.241 | 1.2041.2340.2101.1271.2691.2921.1501.1871.296-0.172-0.236-0.0571.220-0.1121.3001.2850.1191.0180.0401.3010.0821.2471.110-0.0061.065-1.209-0.015-0.4940.665-0.588-0.921-0.3170.4030.8150.127-0.160-0.4040.7410.954-0.6840.267-0.783-1.0630.5360.886-0.406 | 0.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.138 | -0.819-1.234-1.110-0.968-0.125-0.591-0.436-0.678-0.562-0.513-0.4480.0540.137-0.212-0.031-0.023-0.360-0.2300.076-0.667-0.120-0.337-0.285-0.7430.9940.6250.7261.0951.1220.5130.1920.3050.7270.3710.8240.8620.2180.2950.9181.0090.4430.5210.6220.4141.5381.247 | 1.2870.2721.1871.248-0.0901.3021.2820.1480.1101.2950.0671.0671.0081.2121.121-0.1511.264-0.034-0.2171.3031.1700.0191.2401.298-1.058-0.6740.393-0.169-1.2050.655-0.300-0.388-0.7740.8050.257-0.9140.9440.8760.117-0.0250.731-0.5760.526-0.480-1.020-1.355 | 0.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.172 |
X | Y | Z′ | X | Y | Z′ | X | Y | Z′ |
1.6801.7421.8901.9182.0461.8461.8491.9041.4631.9681.9331.3972.0421.8931.2721.8631.4462.0411.5491.9941.9501.9861.8772.0181.6951.6302.0061.2672.0461.6331.7891.8361.5662.0021.3212.0311.9442.0321.5101.7661.1892.019 | -1.247-1.386-2.180-2.209-2.149-1.626-2.120-2.198-1.594-2.221-2.216-1.513-2.110-1.739-1.363-2.140-0.765-2.168-1.704-1.986-2.221-2.218-2.160-2.200-1.900-1.140-2.018-0.431-2.130-1.815-1.492-2.099-1.005-2.211-0.529-2.185-1.863-2.080-0.891-1.999-0.296-2.049 | 0.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.103 | 1.3841.4531.1851.4361.4951.6091.5341.3841.6141.5521.2601.3131.8541.9681.9501.8372.0271.9331.7151.7711.7511.9481.9021.9162.0222.0001.6642.0211.8262.0111.8712.0131.9741.6801.9981.8202.0261.9251.9851.9861.8881.874 | -1.508-1.595-0.306-0.774-0.894-1.132-1.701-0.672-1.807-1.013-1.358-0.539-2.147-2.219-2.222-2.121-2.150-2.220-1.369-1.497-1.996-1.924-2.207-2.216-2.168-2.201-1.254-2.111-1.625-2.081-2.172-2.186-1.988-1.897-2.050-2.096-2.131-1.865-2.212-2.019-2.195-1.742 | 0.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.138 | 1.5181.5871.4241.1791.3131.2541.3691.4431.4871.3581.1791.3041.5922.0042.0011.7351.6471.7741.7061.8732.0061.9001.8861.9831.9161.9671.6641.8031.9951.9511.8391.7531.9851.9051.8552.0071.8221.9331.9691.8041.8561.953 | -1.699-1.127-0.782-0.316-1.437-0.453-1.506-1.602-0.913-0.652-1.273-0.547-1.797-2.169-2.112-1.994-1.260-2.049-1.393-2.193-2.131-2.215-2.205-2.202-2.220-2.213-1.895-1.619-2.187-2.219-2.144-1.502-2.072-1.867-1.745-2.150-2.119-2.222-2.031-2.093-2.169-1.990 | 0.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.172 |
X | Y | Z′ | X | Y | Z′ | X | Y | Z′ |
-1.659 | 0.547 | 0.207 | -1.574 | 0.781 | 0.241 | -1.459 | 0.954 | 0.276 |
X | Y | Z′ | X | Y | Z′ | X | Y | Z′ | ||
-1.345-1.398-1.453-1.472-1.435-1.525-1.614-1.545-1.579-1.310-1.653-1.401-1.646-1.658-1.628-1.661-1.643-1.588-1.610-1.558-1.490-1.285-1.509-1.654-1.636-1.221-1.157-0.871-1.063-0.905-0.786-1.018-1.223-0.945-0.796-1.0890.067-0.416-0.668-0.019-0.017-0.569-0.329-0.105-0.553-0.341 | 1.0390.3430.9320.3600.3510.8420.6940.3800.3930.3260.4670.9870.6100.4910.4270.5160.4460.7450.4120.7950.8881.0870.3690.5790.6410.3101.1711.2840.2800.2450.2141.2381.1311.2641.2981.2071.0591.2820.179-0.1321.1141.3050.0441.1640.1391.262 | 0.2070.2070.2070.2070.2070.2070.2070.2070.2070.2070.2070.2070.2070.2070.2070.2070.2070.2070.2070.2070.2070.2070.2070.2070.2070.2070.2070.2070.2070.2070.2070.2070.2070.2070.2070.2070.2070.2070.2070.2070.2070.2070.2070.2070.2070.207 | -1.597-1.532-1.634-1.566-1.615-1.601-1.267-1.459-1.646-1.639-1.208-0.7740.1600.080-0.624-0.114-0.658-0.699-0.091-1.4370.083-0.398-0.543-0.849-1.383-0.996-1.068-0.217-1.137-1.296-1.384-1.421-0.431-1.327-0.180-0.015-0.473-1.629-1.647-0.324-0.893-0.774-1.642-1.544-1.648-0.251 | 0.4500.4190.6470.4320.4650.7301.1140.4000.5290.5060.3500.2490.9931.0531.316-0.0480.2111.3161.1600.964-0.1831.2830.1691.2981.0181.2571.2280.0131.1950.3660.3840.3920.1221.0681.205-0.1131.3000.4840.5851.2620.2811.3100.6160.8300.5541.236 | 0.2410.2410.2410.2410.2410.2410.2410.2410.2410.2410.2410.2410.2410.2410.2410.2410.2410.2410.2410.2410.2410.2410.2410.2410.2410.2410.2410.2410.2410.2410.2410.2410.2410.2410.2410.2410.2410.2410.2410.2410.2410.2410.2410.2410.2410.241 | -1.420-1.560-1.557-1.633-1.611-1.529-1.634-1.528-1.371-1.588-1.366-1.498-1.402-1.616-1.601-1.308-1.635-1.466-1.626-1.434-1.621-1.584-1.495-1.629-1.247-0.984-0.880-1.116-0.975-1.184-1.046-1.089-0.827-1.194-0.901-0.752-0.379-0.314-0.763-0.0100.091-0.306-0.210-0.453-0.602-0.077 | 0.9960.8160.4730.5670.7150.8640.6220.4610.4250.7671.0480.4520.4310.5220.5041.0970.5910.4450.5440.4380.6840.4890.9100.6541.1410.3460.3201.2181.2761.1811.2500.3701.3130.3911.2971.3221.2860.0970.285-0.0941.0471.2620.0381.3041.3241.156 | 0.2760.2760.2760.2760.2760.2760.2760.2760.2760.2760.2760.2760.2760.2760.2760.2760.2760.2760.2760.2760.2760.2760.2760.2760.2760.2760.2760.2760.2760.2760.2760.2760.2760.2760.2760.2760.2760.2760.2760.2760.2760.2760.2760.2760.2760.276 |
X | Y | Z′ | X | Y | Z′ | X | Y | Z′ |
-0.4400.149-0.223-0.196-0.2680.080-0.645-0.721-0.120-0.4920.5180.7201.0440.4130.6270.1941.0900.9820.6200.9191.1080.5200.3050.8250.4330.3430.2480.8531.0050.9170.7281.1641.5221.4111.5841.2311.2981.4501.2311.3531.3551.4171.5921.1721.5011.294 | 0.0941.000-0.0101.2081.237-0.2001.3081.306-0.0691.296-0.566-0.767-1.128-0.4690.517-0.285-0.179-1.056-0.665-0.983-1.2040.646-0.3750.2470.7410.8320.919-0.910-0.0340.1080.384-1.272-1.027-0.791-1.809-1.354-1.438-0.874-0.436-1.507-0.677-1.590-1.182-0.325-1.699-0.556 | 0.2070.2070.2070.2070.2070.2070.2070.2070.2070.2070.2070.2070.2070.2070.2070.2070.2070.2070.2070.2070.2070.2070.2070.2070.2070.2070.2070.2070.2070.2070.2070.2070.2070.2070.2070.2070.2070.2070.2070.2070.2070.2070.2070.2070.2070.207 | -0.322-1.204-1.496-1.475-0.548-1.624-1.050-0.923-1.511-0.0041.0351.0920.2580.7300.8240.8420.6140.5251.1531.1631.4841.5061.8991.9331.8821.8641.7011.9691.7681.8671.7721.5671.3490.6301.8531.8151.8411.7961.9120.3511.0841.9661.2830.9681.9470.915 | 0.0691.1560.4090.9211.3110.6780.3181.2800.8761.109-1.135-1.2040.9110.3750.238-0.907-0.6580.637-1.279-0.334-1.700-1.035-2.223-2.215-2.221-1.874-1.992-2.153.1.639-2.214-2.091-1.171-0.6990.508-2.204-1.753-2.190-2.125-1.9950.824-0.188-2.134-0.565-1.055-2.2040.098 | 0.2410.2410.2410.2410.2410.2410.2410.2410.2410.2410.2410.2410.2410.2410.2410.2410.2410.2410.2410.2410.2410.2410.2410.2410.2410.2410.2410.2410.2410.2410.2410.2410.2410.2410.2410.2410.2410.2410.2410.2410.2410.2410.2410.2410.2410.241 | -0.533-0.165-0.235-0.6470.009-0.422-0.109-0.6770.1710.086-0.5281.0760.5090.7300.3590.9110.5290.2670.8220.4080.9950.7031.0290.8300.6070.3040.8781.0760.1971.1240.9540.6320.4461.4901.1971.3141.3171.3821.3821.1541.2291.2711.5411.5481.4501.465 | 0.2011.2031.2350.2461.1040.152-0.0261.3260.986-0.1661.317-0.198-0.5480.3650.8160.0880.6270.9030.228-0.447-0.054-0.758-1.147-0.905-0.652-0.350-0.962-1.205-0.255-1.266-1.0540.4980.723-1.043-1.357-0.663-1.510-1.594-0.808-0.344-0.490-0.575-1.159-1.811-0.954-1.702 | 0.2760.2760.2760.2760.2760.2760.2760.2760.2760.2760.2760.2760.2760.2760.2760.2760.2760.2760.2760.2760.2760.2760.2760.2760.2760.2760.2760.2760.2760.2760.2760.2760.2760.2760.2760.2760.2760.2760.2760.2760.2760.2760.2760.2760.2760.276 |
X | Y | Z′ | X | Y | Z′ | X | Y | Z′ |
1.7891.6471.8841.8701.8351.8991.9331.9851.7341.9881.9651.6301.9161.9331.8121.8351.9501.9491.8571.8831.7181.9641.7981.9801.6691.9861.977 | -2.092-1.894-1.870-2.204-1.749-2.221-1.992-2-170-1.507-2.152-2.203-1.266-2.222-2.220-2.126-2.159-2.214-2.033-2.191-2.214-1.993-2.073-1.658-2.113-1.356-2.133-2.188 | 0.2070.2070.2070.2070.2070.2070.2070.2070.2070.2070.2070.2070.2070.2070.2070.2070.2070.2070.2070.2070.2070.2070.2070.2070.2070.2070.207 | 1.6291.3350.3051.9590.9001.2151.2751.6121.3971.9361.2140.1961.4441.8191.7151.3980.5141.7371.6610.4400.7121.9601.9161.0011.9660.4111.569 | -1.894-1.508-0.362-2.189-0.975-0.433-1.432-1.273-0.799-2.055-1.356-0.270-0.900-2.158-1.512-1.589-0.557-2.041-1.3860.732-0.762-2.115-2.221-0.044-2.172-0.458-1.813 | 0.2410.2410.2410.2410.2410.2410.2410.2410.2410.2410.2410.2410.2410.2410.2410.2410.2410.2410.2410.2410.2410.2410.2410.2410.2410.2410.241 | 1.2691.8991.7561.7791.8251.9151.6461.8821.5941.9291.8921.6111.9461.8651.9401.7431.9471.8441.7951.8371.6961.9151.9491.6841.9391.8021.850 | -1.449-2.223-2.091-2.124-2.190-2.217-1.402-2.225-1.280-2.206-1.998-1.895-2.137-2.222-2.191-1.630-2.174-1.878-1.758-2.204-1.518-2.058-2.156-1.993-2.118-2.157-2.215 | 0.2760.2760.2760.2760.2760.2760.2760.2760.2760.2760.2760.2760.2760.2760.2760.2760.2760.2760.2760.2760.2760.2760.2760.2760.2760.2760.276 |
X | Y | Z′ | X | Y | Z′ | X | Y | Z′ |
-1.603-1.571-1.347-1.545-1.227-1.454-1.390-1.589-1.597-1.623-1.485-1.621-1.614-1.441-1.516-1.620 | 0.5610.5271.0780.5121.1680.4840.4710.5430.7520.6300.4920.6600.5820.9870.5000.605 | 0.3100.3100.3100.3100.3100.3100.3100.3100.31003100.3100.3100.3100.3100.3100.310 | -1.602-1.505-1.327-1.268-1.592-1.411-1.496-1.578-1.534-1.558-1.460-1.610-1.528-1.347-1.602-1.608 | 0.7290.5391.1081.1530.6000.5170.9330.5820.5510.8390.9770.6680.8880.5050.6210.644 | 0.3450.3450.3450.3450.3450.3450.3450.3450.3450.3450.3450.3450.3450.3450.3450.345 | -1.566-1.362-1.594-1.578-1.581-1.441-1.402-1.305-1.370-1.541-1.249-1.511-1.588-1.403-1.595-1.434 | 0.8271.0900.7380.7980.6401.0110.5541.1370.5490.8760.5310.9230.7681.0510.6840.561 | 0.3790.3790.3790.3790.3790.3790.3790.3790.3790.3790.3790.3790.3790.3790.3790.379 |
X | Y | Z′ | X | Y | Z′ | X | Y | Z′ |
-1.422-1.402-1.289-1.616-1.513-1.478-1.545-1.274-1.608-1.358-1.573-1.163-1.024-1.095-0.879-0.804-1.076-1.182-0.972-0.952-0.8680.021-0.289-0.360-0.1030.088-0.523-0.219-0.656-0.751-0.433-0.2030.180-0.636-0.306-0.581-0.413-0.730-0.150-0.5070.102-0.063-0.0060.9401.0680.404 | 0.4781.0271.1250.6910.8990.9440.8520.4500.7220.4650.8031.2061.2701.2411.3141.3270.4120.4330.3881.2950.3611.0981.2621.287-0.002-0.1470.2361.2331.3360.3251.3070.0640.9780.2830.1261.3320.1841.3341.2001.3221.0401.152-0.072-1.054-0.209-0.436 | 0.3100.3100.3100.3100.3100.3100.3100.3100.3100.3100.3100.3100.3100.3100.3100.3100.3100.3100.3100.3100.3100.3100.3100.3100.3100.3100.3100.3100.3100.3100.3100.3100.3100.3100.3100.3100.3100.3100.3100.3100.3100.3100.3100.3100.3100.310 | -1.608-1.383-1.593-1.582-1.423-1.443-1.379-1.475-1.560-0.856-1.141-1.170-0.960-1.205-1.072-1.065-0.781-0.856-0.929-1.002-0.413-0.625-0.201-0.270-0.486-0.049-0.5600.113-0.134-0.633-0.1960.090-0.513-0.002-0.7070.033-0.341-0.098-0.297-0.404-0.7390.8340.9201.1321.1330.197 | 0.6991.0590.7590.7891.0190.5230.5110.5300.5660.4051.2300.4760.4321.1941.2620.4561.3391.3291.3121.2901.3090.3241.2301.2601.3261.1451.3371.0311.1951.3440.094-0.1250.275-0.0481.3441.0901.2870.0250.1590.2190.367-0.934-1.044-1.319-0.367-0.221 | 0.3450.3450.3450.3450.3450.3450.3450.3450.3450.3450.3450.3450.3450.3450.3450.3450.3450.3450.3450.3450.3450.3450.3450.3450.3450.3450.3450.3450.3450.3450.3450.3450.3450.3450.3450.3450.3450.3450.3450.3450.3450.3450.3450.3450.3450.345 | -1.477-1.245-1.567-1.525-1.597-1.496-1.338-1.466-1.590-1.551-1.117-0.905-1.183-0.844-1.054-0.832-1.160-0.978-1.048-0.9490.002-0.502-0.0920.123-0.252-0.611-0.758-0.728-0.321-0.184-0.117-0.034-0.392-0.537-0.684-0.189-0.394-0.613-0.289-0.4650.0460.0920.4890.9710.7391.036 | 0.9681.1800.6210.5890.7080.5770.5440.5680.6610.6061.2531.3281.2190.4510.5011.3420.5191.3081.2830.478-0.0220.3150.0541.0211.2561.3501.3500.4121.2851.2241.1881.1371.3091.3411.3530.1260.2570.3670.1941.3281.081-0.101-0.514-0.092-0.821-1.211 | 0.3790.3790.3790.3790.3790.3790.3790.3790.3790.3790.3790.3790.3790.3790.3790.3790.3790.3790.3790.3790.3790.3790.3790.3790.3790.3790.3790.3790.3790.3790.3790.3790.3790.3790.3790.3790.3790.3790.3790.3790.3790.3790.3790.3790.3790.379 |
X | Y | Z′ | X | Y | Z′ | X | Y | Z′ |
0.1970.6330.9990.3650.5991.1440.5030.4500.7540.5320.2750.8191.0680.9880.3020.7280.9060.6930.8481.1491.2991.3681.4471.4731.5341.3191.3591.1951.2301.5321.4141.2581.7391.8951.9301.6771.9191.9281.6661.8191.8241.8811.9261.7751.5931.897 | -0.2390.487-1.1290.806-0.645-0.355-0.5390.713-0.8250.6170.8940.217-1.216-0.065-0.3360.3540.077-0.752-0.939-1.320-1.512-0.818-1.704-1.052-1.818-0.714-1.590-0.457-1.424-1.185-0.919-0.585-2.092-2.061-2.158-1.525-2.120-2.177-1.994-2.205-1.882-2.225-2.140-1.763-1.896-2.219 | 0.3100.3100.3100.3100.3100.3100.3100.3100.3100.3100.3100.3100.3100.3100.3100.3100.3100.3100.3100.3100.3100.3100.3100.3100.3100.3100.3100.3100.3100.3100.3100.3100.3100.3100.3100.3100.3100.3100.3100.3100.3100.3100.3100.3100.3100.310 | 0.9830.4530.9800.6821.0580.1890.8150.3690.7260.6320.3000.5330.4000.2810.8990.7481.0470.4960.5901.3131.4291.2811.3491.4571.5081.5581.2451.5131.2171.1751.3531.4001.7211.8991.9031.8291.8751.7941.9061.8461.6581.8781.8511.7901.8261.814 | -1.1260.702-0.078-0.745-0.2220.9690.2040.7950.3410.475-0.3200.605-0.4220.8840.064-0.825-1.208-0.528-0.635-0.742-1.704-1.512-1.601-1.061-1.808-1.296-0.596-1.190-1.430-0.452-0.828-0.933-2.093-2.124-2.196-2.226-2.064-1.862-2.143-2.229-1.531-2.221-2.005-2.192-1.943-2.218 | 0.3450.3450.3450.3450.3450.3450.3450.3450.3450.3450.3450.3450.3450.3450.3450.3450.3450.3450.3450.3450.3450.3450.3450.3450.3450.3450.3450.3450.3450.3450.3450.3450.3450.3450.3450.3450.34503450.3450.3450.3450.3450.3450.3450.3450.345 | 0.2970.9020.6300.6710.1970.3731.1150.1971.1210.8920.4550.8090.5810.9680.8210.3950.5331.0470.7220.2871.4971.3831.5411.3421.4401.3371.1721.4791.2311.2631.1951.2891.5561.4111.7021.8731.8101.8271.8911.8551.5871.6401.7821.7371.7261.832 | -0.302-1.0340.460-0.735-0.2000.782-1.3160.957-0.3810.0490.6880.189-0.624-1.121-0.927-0.4070.590-0.2360.3260.872-1.203-0.940-1.304-1.614-1.071-0.840-0.485-1.795-0.609-1.510-1.421-0.734-1.898-1.704-2.095-2.214-2.229-2.232-2.165-2.068-1.413-1.539-2.209-1.774-2.128-2.009 | 0.3790.3790.3790.3790.3790.3790.3790.3790.3790.3790.3790.3790.3790.3790.3790.3790.3790.3790.3790.3790.3790.3790.3790.3790.3790.3790.3790.3790.3790.3790.3790.3790.3790.3790.3790.3790.3790.3790.3790.3790.3790.3790.3790.3790.3790.379 |
X | Y | Z′ | X | Y | Z′ | X | Y | Z′ |
1.6151.9111.8711.8481.8641.7861.7621.9221.8321.7381.5761.808 | -1.378-2.208-2.001-2.224-2.226-2.158-2.125-2.194-2.216-1.672-1.288-2.190 | 0.3100.3100.3100.3100.3100.3100.3100.3100.3100.3100.3100.310 | 1.9101.8621.7141.7681.5751.6011.7561.8011.9091.8921.7451.648 | -2.161-2.227-1.666-2.159-1.897-1.397-1.768-2.207-2.180-2.211-2.126-1.995 | 0.3450.3450.3450.3450.3450.3450.3450.3450.3450.3450.3450.345 | 1.8591.8901.7951.8431.6291.8841.8871.7491.7711.8791.7851.692 | -2.225-2.183-2.221-2.231-1.996-2.200-2.146-2.161-2.194-2.128-1.892-1.664 | 0.3790.3790.3790.3790.3790.3790.3790.3790.3790.3790.3790.379 |
X | Y | Z′ | X | Y | Z′ | X | Y | Z′ |
-1.382-1.580-1.542-1.573-1.584-1.283-1.488-1.458-1.222-1.516-1.579-1.362-1.562-1.241-1.340-1.550-1.330-1.458-1.394-1.492-1.426-1.584-1.571-1.421-1.523-1.558-1.024-1.159-1.093-1.151-0.807 | 1.0840.7780.6450.8070.7241.1660.6150.6051.2070.6280.7010.5860.8370.5721.1200.8650.5821.0030.5910.9590.5980.7480.6801.0440.9130.6611.3031.2431.2750.5621.354 | 0.4140.4140.4140.4140.4140.4140.4140.4140.4140.4140.4140.4140.4140.4140.4140.4140.4140.4140.4140.4140.4140.4140.4140.4140.4140.4140.4140.4140.4140.4140.414 | -1.550-1.572-1.398-1.435-1.260-1.558-1.566-1.473-1.534-1.400-1.569-1.318-1.323-1.571-1.533-1.505-1.438-1.471-1.232-1.546-1.562-1.504-1.361-1.360-1.134-0.820-0.854-1.060-0.899-1.141-0.927 | 0.7010.7650.6300.6381.1950.8470.8180.9960.6851.0780.7421.1520.6200.7880.9040.9511.0380.6490.6120.8760.7200.6650.6241.1161.2680.5471.3570.5970.5680.6051.342 | 0.4480.4480.4480.4480.4480.4480.4480.4480.4480.4480.4480.4480.4480.4480.4480.4480.4480.4480.4480.4480.4480.4480.4480.4480.4480.4480.4480.4480.4480.4480.448 | -1.559-1.481-1.297-1.348-1.354-1.238-1.396-1.552-1.558-1.316-1.391-1.441-1.516-1.464-1.497-1.552-1.543-1.541-1.428-1.526-1.560-1.224-1.531-0.887-0.829-1.110-0.973-1.132-1.050-0.807-1.043 | 0.8290.9981.1841.1430.6611.2251.0980.8590.7830.6570.6661.0500.9430.6870.7040.7610.8880.7420.6750.7260.8060.6530.9160.6171.3711.2941.3430.6480.6420.5971.321 | 0.4830.4830.4830.4830.4830.4830.4830.4830.4830.4830.4830.4830.4830.4830.4830.4830.4830.4830.4830.4830.4830.4830.4830.4830.4830.4830.4830.4830.4830.4830.483 |
X | Y | Z′ | X | Y | Z′ | X | Y | Z′ |
-0.880-1.043-0.833-0.953-0.937-0.5450.094-0.733-0.587-0.2330.0050.0580.132-0.515-0.086-0.166-0.279-0.443-0.181-0.735-0.365-0.660-0.639-0.101-0.371-0.301-0.020-0.4540.7170.8841.1000.8020.6270.8090.4560.5331.1090.3901.0360.5720.2040.6610.2920.9540.9611.022 | 1.3430.5470.49813250.5260.386-0.0751.3601.3541.2500.0071.0691.0081.3440.0861.2170.2311.3280.1610.4660.2871.3600.4291.1791.3071.2811.1260.3390.3090.032-1.3120.1720.443-0.9190.6710.573-0.396-0.390-0.252-0.6110.943-0.7240.857-1.115-0.109-1.207 | 0.4140.4140.4140.4140.4140.4140.4140.4140.4140.4140.4140.4140.4140.4140.4140.4140.4140.4140.4140.4140.4140.4140.4140.4140.4140.4140.4140.4140.4140.4140.4140.4140.4140.4140.4140.4140.4140.4140.4140.4140.4140.4140.4140.4140.4140.414 | -1.198-1.068-0.998-0.781-0.979-0.442-0.0800.071-0.6350.0090.096-0.355-0.173-0.563-0.086-0.6260.144-0.006-0.532-0.421-0.491-0.722-0.165-0.333-0.270-0.707-0.2480.4390.5460.9320.8760.9670.7030.8450.7521.0370.2151.0540.2151.0930.4440.5350.3490.6210.2831.138 | 1.2341.2981.3231.3650.5850.3820.1181.0541.3660.036-0.0490.3280.1961.3571.1690.4760.9911.1140.4321.3261.3440.5151.2171.2960.2701.3681.260-0.438-0.574-1.0940.010-0.1570.303-0.974-0.847-1.2390.925-0.327-0.175-0.4050.6690.5500.7830.4280.855-0.498 | 0.4480.4480.4480.4480.4480.4480.4480.4480.4480.4480.4480.4480.4480.4480.4480.4480.4480.4480.4480.4480.4480.4480.4480.4480.4480.4480.4480.4480.4480.4480.4480.4480.4480.4480.4480.4480.4480.4480.4480.4480.4480.4480.4480.4480.4480.448 | -0.968-1.175-0.902-0.0730.006-0.4800.013-0.756-0.3130.0810.153-0.682-0.559-0.150-0.722-0.610-0.166-0.639-0.4050.097-0.331-0.260-0.468-0.539-0.399-0.075-0.2300.5380.8850.9620.8820.3251.0840.9290.6410.2220.6971.0860.6170.7430.2880.5330.8340.9850.7730.445 | 0.6321.2621.3601.1591.1020.4570.0671.3771.2921.0410.9761.3770.4991.2090.5691.3710.2330.5360.411-0.0210.3620.3091.3451.3601.3240.1511.253-0.558-1.037-1.145-0.036-0.284-0.429-0.123-0.6970.9090.284-1.3190.409-0.8380.8380.5310.051-0.2310.1570.650 | 0.4830.4830.4830.4830.4830.4830.4830.4830.4830.4830.4830.4830.4830.4830.4830.4830.4830.4830.4830.4830.4830.4830.4830.4830.4830.4830.4830.4830.4830.4830.4830.4830.4830.4830.4830.4830.4830.4830.4830.4830.4830.4830.4830.4830.4830.483 |
X | Y | Z′ | X | Y | Z′ | X | Y | Z′ |
0.1960.3760.4820.2941.4251.5241.3691.3931.3181.4791.2181.3231.1561.2461.4681.1781.5381.2781.8701.7511.8601.7661.6761.8241.8131.7191.8401.6221.7291.6831.7621.8641.7071.7901.7751.8671.6111.8071.8541.5681.8441.8281.871 | -0.1770.766-0.499-0.282-1.083-1.314-0.957-1.703-1.603-1.209-0.623-0.852-0.492-1.507-1.803-1.416-1.899-0.754-2.187-2.197-2.132-1.898-1.676-2.234-2.014-1.781-2.229-1.547-2.164-2.097-2.212-2.203-2.130-2.232-2.224-2.151-1.998-2.236-2.218-1.418-2.093-2.053-2.169 | 0.4140.4140.4140.4140.4140.4140.4140.4140.4140.4140.4140.4140.4140.4140.4140.4140.4140.4140.4140.4140.4140.4140.4140.4140.4140.4140.4140.4140.4140.4140.4140.4140.4140.4140.4140.4140.4140.4140.4140.4140.4140.4140.414 | 1.1430.7810.6510.3291.3761.4371.2511.3451.4571.3761.2961.2311.5081.1821.2981.2191.5201.8191.7421.8441.5921.8251.6631.7861.7311.5781.7701.7941.7361.6371.8331.8411.8031.6871.8481.8521.7091.8511.7011.8331.6661.7551.764 | -1.3840.176-0.711-0.305-1.019-1.160-0.741-0.948-1.811-1.701-1.591-1.503-1.325-0.592-0.845-0.671-1.899-2.233-2.216-2.208-1.999-2.098-2.099-2.240-2.201-1.491-2.236-2.020-1.874-1.634-2.118-2.137-2.239-2.133-2.156-2.174-2.167-2.191-1.789-2.222-1.704-2.228-1.943 | 0.4480.4480.4480.4480.4480.4480.4480.4480.4480.4480.4480.4480.4480.4480.4480.4480.4480.4480.4480.4480.4480.4480.4480.4480.4480.4480.4480.4480.4480.4480.4480.4480.4480.4480.4480.4480.4480.4480.4480.4480.4480.4480.448 | 0.2131.0240.4330.8331.1220.3521.0401.4281.2351.4921.3611.2801.5021.5481.2161.3601.1631.1791.4391.2711.7491.7211.7661.8071.6211.6921.8131.7771.5731.7341.8231.7991.8311.6891.6661.8331.7831.8241.7461.6431.8301.8151.710 | -0.151-1.232-0.420-0.964-0.5080.766-0.341-1.185-0.750-1.336-1.032-1.588-1.899-1.469-1.499-1.699-1.426-0.629-1.810-0.830-2.240-2.220-2.244-2.104-1.643-1.817-2.227-2.027-2.000-2.232-2.143-2.237-2.197-2.171-2.136-2.179-2.243-2.213-1.950-2.102-2.161-2.124-2.205 | 0.4830.4830.4830.4830.4830.4830.4830.4830.4830.4830.4830.4830.4830.4830.4830.4830.4830.4830.4830.4830.4830.4830.4830.4830.4830.4830.4830.4830.4830.4830.4830.4830.4830.4830.4830.4830.4830.4830.4830.4830.4830.4830.483 |
X | Y | Z′ | X | Y | Z′ | X | Y | Z′ |
X | Y | Z′ | X | Y | Z′ | X | Y | Z′ |
-0.795-0.876-0.732-1.329-1.347-1.123-1.217-1.536-1.154-0.950-1.548-1.216-0.806-1.278-0.958-1.021-1.456-1.532-1.308-1.424-1.378-0.878-1.384-1.501-1.040-1.089-1.549-0.709-1.521-1.465-1.517-1.421-1.542-1.489-1.546-0.626-0.578-0.420-0.270-0.546-0.198-0.128-0.498 | 0.6460.6651.3891.1780.6980.6911.2560.9091.2911.3640.8250.6931.3861.2170.6791.3450.7250.7830.6951.0881.1341.3780.7030.9830.6871.3200.8480.6180.9471.0370.7660.7120.8030.7430.8710.5851.3761.3381.2760.5461.2391.1961.360 | 0.5170.5170.5170.5170.5170.5170.5170.5170.5170.5170.5170.5170.5170.5170.5170.5170.5170.5170.5170.5170.5170.5170.5170.5170.5170.5170.5170.5170.5170.5170.5170.5170.5170.5170.5170.5170.5170.5170.5170.5170.5170.5170.517 | -1.409-1.522-1.339-0.784-1.261-1.208-1.523-1.508-1.200-0.698-1.115-1.480-1.532-1.537-0.713-1.069-0.858-1.536-1.363-1.534-1.313-1.451-0.930-1.507-1.031-1.376-1.413-0.948-1.136-0.785-1.300-1.488-1.448-1.001-0.866-0.404-0.065-0.640-0.560-0.118-0.242-0.382-0.328 | 1.1270.8250.7360.6941.2520.7330.9510.8071.2900.6670.7330.7830.8440.8891.4041.3491.3980.8661.1720.9121.2141.0771.3870.9880.7320.7410.7510.7251.3221.4040.7341.0230.7641.3710.7131.3410.2171.3981.3851.1910.3870.4981.310 | 0.5520.5520.5520.5520.5520.5520.5520.5520.5520.5520.5520.5520.5520.5520.5520.5520.5520.5520.5520.5520.5520.5520.5520.5520.5520.5520.5520.5520.5520.5520.5520.5520.5520.5520.5520.5520.5520.5520.5520.5520.5520.5520.552 | -1.521-1.120-1.246-0.773-1.520-0.697-1.511-1.300-1.438-1.524-1.470-0.841-1.476-1.403-1.367-0.768-1.022-1.511-1.350-1.524-1.396-1.329-1.185-0.913-1.105-1.439-0.984-1.053-1.495-0.856-1.198-1.291-0.939-1.497-0.245-0.483-0.060-0.623-0.551-0.696-0.176-0.1440.098 | 0.9541.3541.2890.7410.8860.7180.8661.2520.8040.9310.8241.4201.0650.7900.7811.4230.7750.9921.2110.9081.1670.7761.3241.4120.7761.1181.3981.3791.0290.7590.7740.7740.7700.8481.2760.6160.2480.6890.6551.4201.2340.3390.059 | 0.5860.5860.5860.5860.5860.5860.5860.5860.5860.5860.5860.5860.5860.5860.5860.5860.5860.5860.5860.5860.5860.5860.5860.5860.5860.5860.5860.5860.5860.5860.5860.5860.5860.5860.5860.5860.5860.5860.5860.5860.5860.5860.586 |
X | Y | Z′ | X | Y | Z′ | X | Y | Z′ |
-0.0700.089-0.468-0.321-0.2510.098-0.344-0.393-0.659-0.0610.1590.016-0.1580.0150.3200.8720.2920.2110.8220.9120.4440.9740.5300.7270.8630.4260.3540.2270.6120.6900.8120.6320.7650.5300.9311.2081.2011.0711.1101.3431.1211.3051.2721.0211.0101.257 | 0.1841.0290.5030.4040.3490.0061.3100.4551.3861.1500.9630.0970.2691.092-0.263-0.0520.823-0.127-0.953-1.0820.634-0.2470.514-0.818-1.012-0.4020.7500.8940.3910.2670.058-0.6830.140-0.542-0.163-0.735-1.494-0.444-1.365-1.696-0.548-0.950-1.595-0.341-1.224-0.843 | 0.5170.5170.5170.5170.5170.5170.5170.5170.5170.5170.5170.5170.5170.5170.5170.5170.5170.5170.5170.5170.5170.5170.5170.5170.5170.5170.5170.5170.5170.5170.5170.5170.5170.5170.5170.5170.5170.5170.5170.5170.5170.5170.5170.5170.5170.517 | -0.5340.018-0.1510.037-0.1860.098-0.4810.122-0.456-0.614-0.052-0.311-0.2560.9180.2030.8620.3530.6060.2090.7000.2800.5260.9170.4190.8100.9620.6210.5210.6830.8050.7560.4420.3150.9971.1151.3311.3741.3261.1521.1981.0591.1851.3981.2861.2421.001 | 0.5930.1260.3041.0711.2350.0331.3660.9930.5480.6331.1440.4451.275-1.1010.911-0.0650.7370.378-0.103-0.7830.8250.500-0.171-0.384-0.942-0.259-0.669-0.5260.2530.0400.1260.620-0.243-1.216-0.574-1.053-1.153-1.694-0.654-0.755-0.456-1.489-1.799-0.951-0.853-0.338 | 0.5520.5520.5520.5520.5520.5520.5520.5520.5520.5520.5520.5520.5520.5520.5520.5520.5520.5520.5520.5520.5520.5520.5520.5520.5520.5520.5520.5520.5520.5520.5520.5520.5520.5520.5520.5520.5520.5520.5520.5520.5520.5520.5520.5520.5520.552 | 0.125-0.1100.042-0.466-0.316-0.292-0.417-0.233-0.353-0.6230.021-0.544-0.390-0.0450.5200.6740.4120.2040.5990.7470.5120.8990.9880.8510.6950.9510.4380.2790.3100.7970.2060.9830.3510.6111.1691.3091.0461.1031.0671.2811.1731.2341.1381.3151.3831.381 | 0.9861.1891.0651.3731.3130.4770.5730.4250.5261.4110.1551.3951.3461.1400.4900.242-0.3660.9030.3670.116-0.510-1.084-0.344-0.075-0.779-0.2690.6100.816-0.222-0.931-0.081-1.2080.727-0.655-1.484-1.691-0.465-0.586-1.334-0.984-0.738-1.581-0.662-1.061-1.802-1.215 | 0.5860.5860.5860.5860.5860.5860.5860.5860.5860.5860.5860.5860.5860.5860.5860.5860.5860.5860.5860.5860.5860.5860.5860.5860.5860.5860.5860.5860.5860.5860.5860.5860.5860.5860.5860.5860.5860.5860.5860.5860.5860.5860.5860.5860.5860.586 |
X | Y | Z′ | X | Y | Z′ | X | Y | Z′ |
1.1591.1651.3461.7931.4141.6461.7131.7281.5321.6751.8041.7291.4841.8041.8111.5541.6891.4771.6231.8111.4071.7001.6041.7891.7591.7621.7971.8141.6681.7791.745 | -1.435-0.643-1.044-2.231-1.797-2.140-2.236-2.244-1.479-1.823-2.217-1.956-1.899-2.147-2.166-2.001-2.209-1.347-2.105-2.201-1.183-2.224-1.651-2.110-2.033-2.247-2.129-2.184-2.174-2.241-2.248 | 0.5170.5170.5170.5170.5170.5170.5170.5170.5170.5170.5170.5170.5170.5170.5170.5170.5170.5170.5170.5170.5170.5170.5170.5170.5170.5170.5170.5170.5170.5170.517 | 1.0891.2541.5051.6261.7841.7851.7701.5341.7921.7911.7411.6681.5461.7941.4201.4601.7101.5861.6801.6271.7781.7581.4651.7421.6031.6481.6671.7081.6931.7251.773 | -1.350-1.589-1.462-2.142-2.221-2.152-2.114-2.003-2.170-2.205-2.038-2.212-1.560-2.188-1.261-1.355-1.961-1.658-2.227-1.756-2.133-2.245-1.899-2.250-2.107-2.177-1.854-2.248-2.239-2.251-2.235 | 0.5520.5520.5520.5520.5520.5520.5520.5520.5520.5520.5520.5520.5520.5520.5520.5520.5520.5520.5520.5520.5520.5520.5520.5520.5520.5520.5520.5520.5520.5520.552 | 1.2271.7531.6921.5521.5181.6271.4781.7221.7641.4431.7751.7511.5831.6541.7591.7661.6181.6591.7391.5151.6481.4471.6881.7051.6721.7721.7221.4821.7721.6061.568 | -0.861-2.238-1.966-2.061-1.542-2.180-1.946-2.042-2.224-1.361-2.191-2.118-2.109-1.872-2.137-2.155-1.784-2.230-2.248-2.004-2.215-1.899-2.251-2.254-2.242-2.208-2.253-1.455-2.173-2.144-1.663 | 0.5860.5860.5860.5860.5860.5860.5860.5860.5860.5860.5860.5860.5860.5860.5860.5860.5860.5860.5860.5860.5860.5860.5860.5860.5860.5860.5860.5860.5860.5860.586 |
X | Y | Z′ | X | Y | Z′ | X | Y | Z′ |
-1.038-0.898-1.463-1.345-1.485-1.436-0.844-1.362-0.969-1.106-0.761-1.234 | 1.4091.4370.8680.8200.8890.8500.8041.2301.4261.3870.7871.326 | 0.6210.6210.6210.6210.6210.6210.6210.6210.6210.6210.6210.621 | -1.390-1.093-1.499-1.299-0.812-1.494-1.473-1.173-1.451-1.473-1.352-1.159 | 1.2331.4200.9920.8581.4660.9690.9310.8590.9091.1131.2701.395 | 0.6550.6550.6550.6550.6550.6550.6550.6550.6550.6550.6550.655 | -1.438-1.475-0.980-0.943-1.147-1.477-1.487-0.728-0.811-1.484-1.445-1.211 | 0.9500.9950.9071.4831.4301.1171.0501.4830.8921.0221.1901.400 | 0.6900.6900.6900.6900.6900.6900.6900.6900.6900.6900.6900.690 |
X | Y | Z′ | X | Y | Z′ | X | Y | Z′ |
-1.512-1.509-1.484-1.407-0.927-1.313-1.400-1.187-1.279-1.435-1.498-1.279-0.826-1.094-1.377-1.507-1.322-1.171-1.512-1.011-0.753-1.465-1.499-0.041-0.237-0.363-0.531-0.610-0.454-0.560-0.307-0.224-0.498-0.438-0.2920.099-0.104-0.137-0.0550.1250.023-0.681-0.169-0.6250.044-0.692 | 0.9500.9961.0710.8360.8140.8161.1920.8160.8151.1500.9081.2971.4430.8180.8260.9281.2651.3590.9730.8191.4431.1061.0341.1371.2780.5831.4071.4261.3820.7111.3170.4600.6760.6380.5230.0841.1870.3710.2780.9810.1821.4371.2340.7411.0610.766 | 0.6210.6210.6210.6210.6210.6210.6210.6210.6210.6210.6210.6210.6210.6210.6210.6210.6210.6210.6210.6210.6210.6210.6210.6210.6210.6210.6210.6210.6210.6210.6210.6210.6210.6210.6210.6210.6210.6210.6210.6210.6210.6210.6210.6210.6210.621 | -0.956-0.884-1.395-1.311-1.025-1.080-1.500-1.222-1.455-1.364-1.268-0.913-1.425-1.486-1.266-1.488-0.829-1.332-1.424-0.996-0.746-1.497-0.740-0.3000.045-0.129-0.520-0.231-0.2140.100-0.039-0.677-0.371-0.6690.026-0.350-0.5980.124-0.445-0.483-0.280-0.050-0.610-0.165-0.545-0.101 | 1.4551.4630.8781.3041.4400.8621.0141.3631.1480.8681.3350.8581.1920.9490.8571.0760.8480.8620.8910.8620.8311.0381.4631.3231.0590.4011.4191.2810.4930.1071.1360.8101.3601.4550.2070.6201.4410.9771.3920.7170.5590.3050.7841.2360.7531.188 | 0.6550.6550.6550.6550.6550.6550.6550.6550.6550.6550.6550.6550.6550.6550.6550.6550.6550.6550.6550.6550.6550.6550.6550.6550.6550.6550.6550.6550.6550.6550.6550.6550.6550.6550.6550.6550.6550.6550.6550.6550.6550.6550.6550.6550.6550.655 | -1.415-1.463-0.872-1.381-1.412-1.342-1.251-1.382-1.301-0.800-1.081-1.460-1.257-0.895-1.318-1.064-1.158-1.486-0.728-1.285-1.013-1.3510.044-0.408-0.587-0.364-0.294-0.436-0.1210.102-0.3360.122-0.528-0.203-0.227-0.659-0.657-0.044-0.038-0.267-0.467-0.162-0.0990.030-0.592-0.511 | 1.2341.1541.4891.2740.9331.3110.9020.9201.3441.4891.4540.9721.3740.9030.9050.9070.9041.0790.8740.9031.4710.9111.0560.7141.4561.3671.3281.4020.4300.1290.6550.9730.7930.5241.2840.8531.4720.3321.1350.5920.7561.2381.1880.2310.8261.432 | 0.6900.6900.6900.6900.6900.6900.6900.6900.6900.6900.6900.6900.6900.6900.6900.6900.6900.6900.6900.6900.6900.6900.6900.6900.6900.6900.6900.6900.6900.6900.6900.6900.6900.6900.6900.6900.6900.6900.6900.6900.6900.6900.6900.6900.6900.690 |
X | Y | Z′ | X | Y | Z′ | X | Y | Z′ |
-0.3800.6660.5130.5430.8410.4320.9790.5910.7380.2290.2770.6010.9810.3550.3470.9390.8770.4790.6780.2030.7751.4261.6071.7521.0761.7021.5001.5861.7191.6001.7451.4271.5501.2621.2121.7331.5631.1531.2191.3891.6341.0841.7401.2991.4951.162 | 1.3520.2340.482-0.555-0.0830.602-1.2160.3590.108-0.0950.809-0.642-0.362-0.2760.720-0.276-1.061-0.458-0.7580.897-0.906-1.367-2.182-2.211-1.363-2.256-1.547-2.146-2.251-1.789-2.227-1.899-1.668-0.983-0.868-2.241-2.111-1.480-1.581-1.280-1.875-0.582-2.140-1.067-2.005-0.753 | 0.6210.6210.6210.6210.6210.6210.6210.6210.6210.6210.6210.6210.6210.6210.6210.6210.6210.6210.6210.6210.6210.6210.6210.6210.6210.6210.6210.6210.6210.6210.6210.6210.6210.6210.6210.6210.6210.6210.6210.6210.6210.6210.6210.6210.6210.621 | -0.4240.5060.2730.8640.6570.8290.9660.7620.2000.5920.3420.6780.4260.3510.9270.2270.5830.9650.4720.7281.3391.1971.1371.2731.1421.0501.1101.1981.3481.0201.0731.2511.2821.6161.6481.4761.7341.7331.6201.6541.4081.6081.5881.4841.4081.699 | 0.6770.4750.804-1.0530.227-0.090-1.212-0.8950.892-0.6300.714-0.7640.596-0.259-0.283-0.0750.352-0.363-0.4440.101-1.207-0.873-1.477-1.688-0.747-1.342-0.675-1.571-1.805-0.478-0.593-1.000-1.073-1.881-2.256-2.006-2.179-2.214-2.235-1.973-1.372-2.219-2.184-1.557-1.900-2.253 | 0.6550.6550.6550.6550.6550.6550.6550.6550.6550.6550.6550.6550.6550.6550.6550.6550.6550.6550.6550.6550.6550.6550.6550.6550.6550.6550.6550.6550.6550.6550.6550.6550.6550.6550.6550.6550.6550.6550.6550.6550.6550.6550.6550.6550.6550.655 | 0.6470.3470.4980.4190.4660.2680.7380.3360.5740.1960.2260.8180.9140.6730.5840.7170.8510.9520.9651.2281.1211.3901.3161.3181.3901.1811.0611.2471.3541.1801.0591.0061.0951.1331.2661.7141.5131.6801.5241.6001.5891.4691.6631.6941.7061.708 | 0.221-0.2420.4690.590-0.4300.799-0.8650.7080.3460.887-0.056-0.096-0.289-0.760-0.6180.095-1.046-0.369-1.227-0.990-1.474-1.900-1.198-1.786-1.377-0.879-1.380-1.674-1.289-1.568-0.600-0.484-0.681-0.769-1.078-2.183-1.677-2.257-2.115-2.238-2.222-2.026-2.262-2.128-2.233-2.165 | 0.6900.6900.6900.6900.6900.6900.6900.6900.6900.6900.6900.6900.6900.6900.6900.6900.6900.6900.6900.6900.6900.6900.6900.6900.6900.6900.6900.6900.6900.6900.6900.6900.6900.6900.6900.6900.6900.6900.6900.6900.6900.6900.6900.6900.6900.690 |
X | Y | Z′ | X | Y | Z′ | X | Y | Z′ |
1.6521.3521.3621.4651.6281.7321.7551.7531.7471.6681.6731.2911.1241.0331.6391.685 | -2.245-1.192-1.799-1.462-2.217-2.121-2.194-2.176-2.158-2.253-1.969-1.690-0.669-0.472-2.233-2.257 | 0.6210.6210.6210.6210.6210.6210.6210.6210.6210.6210.6210.6210.6210.6210.6210.621 | 1.7251.6331.6651.4461.7201.6831.6951.6761.5321.7281.5441.7361.5791.7141.5661.713 | -2.230-2.248-2.260-1.464-2.143-2.259-2.078-2.030-1.672-2.162-2.113-2.197-1.788-2.243-2.148-2.124 | 0.6550.6550.6550.6550.6550.6550.6550.6550.6550.6550.6550.6550.6550.6550.6550.655 | 1.7161.5001.6131.4321.5681.4451.7131.6461.6671.7011.6281.6351.5471.6021.5561.694 | -2.200-2.076-2.251-1.969-2.187-1.510-2.218-2.263-2.059-2.147-2.259-1.977-2.151-1.896-1.783-2.247 | 0.6900.6900.6900.6900.6900.6900.6900.6900.6900.6900.6900.6900.6900.6900.6900.690 |
X | Y | Z′ | X | Y | Z′ | X | Y | Z′ |
-1.135-0.716-0.844-1.471-1.246-1.448-1.436-1.305-1.290-1.467-0.912-1.431-1.047-1.411-0.787-1.332-0.930-0.777-1.199-1.271-1.236-1.389-0.980-1.475-1.142-1.339-1.454 | 1.4641.5020.9461.0631.4121.0121.2310.9511.3831.1590.9530.9950.9550.9811.5101.3511.5100.9341.4370.9490.9490.9700.9551.0910.9520.9561.196 | 0.7240.7240.7240.7240.7240.7240.7240.7240.7240.7240.7240.7240.7240.7240.7240.7240.7240.7240.7240.7240.7240.7240.7240.7240.7240.7240.724 | -0.828-1.420-1.436-1.222-1.461-1.400-0.761-1.327-1.265-0.3800.040-0.244-0.030-0.491-0.632-1.054-0.096-0.310-0.283-1.352-1.462-0.843-0.772-0.156-0.104-1.032-0.038 | 0.9941.0361.0530.9981.1161.0220.9811.0011.4290.7881.0440.6580.3861.4491.5011.5171.1810.7251.3311.0051.1621.5361.5301.2340.4891.0061.126 | 0.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.759 | -1.359-1.170-1.289-1.258-1.450-0.756-1.432-1.162-1.409-1.389-1.037-1.445-1.451-0.756-1.436-1.449-0.832-1.251-0.987-1.415-0.898-1.105-0.910-1.366-1.325-1.425-1.444 | 1.3841.5061.4411.0461.2041.5471.2791.0511.0771.3501.5461.2421.1811.0291.1141.1581.0451.4661.0571.3131.5591.5291.0541.0551.4141.0941.136 | 0.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.793 |
X | Y | Z′ | X | Y | Z′ | X | Y | Z′ |
-1.000-1.462-0.711-1.371-1.068-1.474-0.858-1.365-1.406-0.192-0.038-0.289-0.0370.105-0.393-0.642-0.223-0.5010.148-0.357-0.645-0.159-0.112-0.451-0.2550.042-0.428-0.576-0.3220.035-0.575-0.511-0.0980.3290.8240.8650.3450.9490.9370.5770.2260.8400.2620.5270.4610.706 | 1.5011.0360.9181.3151.4861.1201.5130.9621.2750.5551.1321.3310.3590.1520.7510.8951.2861.4420.9681.3721.4881.2370.4590.7940.6251.0521.4091.4690.6900.2560.8670.8331.1860.701-0.143-0.225-0.225-1.217-0.376-0.605-0.035-1.0390.7920.400-0.4150.086 | 0.7240.7240.7240.7240.7240.7240.7240.7240.7240.7240.7240.7240.7240.7240.7240.7240.7240.7240.7240.7240.7240.7240.7240.7240.7240.7240.7240.7240.7240.7240.7240.7240.7240.7240.7240.7240.7240.7240.7240.7240.7240.7240.7240.7240.7240.724 | -0.437-1.338-0.985-0.565-1.303-0.702-0.915-0.419-1.443-0.182-0.896-0.218-1.128-1.377-0.3500.041-1.371-1.448-1.186-1.426-1.401-1.226-0.560-1.456-1.463-0.964-0.695-0.497-1.2740.109-0.626-1.4560.115-1.1210.6070.6580.4220.3220.7360.8530.9891.2281.1891.1801.2321.670 | 0.8321.3751.5291.4791.4031.5181.5361.4141.2370.5871.0021.2841.0021.0121.3740.2821.3441.0721.4721.2721.3091.4520.9091.0931.1391.0060.9630.8730.9970.1770.9391.2000.9591.4980.232-0.7400.5410.690-0.874-0.242-0.533-1.696-0.992-1.616-1.096-2.179 | 0.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.759 | -1.300-1.341-1.389-1.065-0.826-0.968-1.212-0.547-0.1700.038-0.038-0.234-0.390-0.299-0.680-0.618-0.425-0.1730.046-0.686-0.096-0.484-0.4690.114-0.2400.111-0.103-0.552-0.369-0.612-0.023-0.3140.5060.7290.6600.2300.9070.3140.7960.3440.8610.7340.2490.9480.7930.595 | 1.0461.0501.0641.0561.5561.5561.4880.9491.2421.0341.1170.6901.4040.7581.0071.5120.8690.6180.3081.5320.5170.9111.4480.2011.3000.9481.1811.4870.8230.9810.4141.3540.374-0.035-0.7430.008-0.4000.677-0.169-0.187-0.303-0.8750.769-0.491-0.9780.218 | 0.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.793 |
X | Y | Z′ | X | Y | Z′ | X | Y | Z′ |
0.3950.6630.5270.1920.7310.6190.4311.1051.1961.1951.0171.3731.3301.0071.2491.1481.0441.2681.1001.3711.3021.4121.4951.5051.6091.4241.6891.5931.6261.5781.6861.5801.6751.6751.5491.6971.6161.6431.6951.5271.6941.5411.6451.5691.6601.682 | -0.307-0.748-0.5230.881-0.8600.2440.552-1.471-0.960-1.617-1.328-1.384-1.834-0.527-1.086-0.848-0.611-1.735-0.737-1.902-1.212-1.479-1.684-2.118-2.264-1.988-2.171-2.255-2.268-1.889-2.238-2.242-2.134-2.252-2.190-2.206-1.983-2.267-2.189-2.154-2.223-1.797-2.056-2.226-2.261-2.153 | 0.7240.7240.7240.7240.7240.7240.7240.7240.7240.7240.7240.7240.7240.7240.7240.7240.7240.7240.7240.7240.7240.7240.7240.7240.7240.7240.7240.7240.7240.7240.7240.7240.7240.7240.7240.7240.7240.7240.7240.7240.7240.7240.7240.7240.7240.724 | 1.6661.4191.6631.5581.5601.5081.6741.5880.4581.0901.4271.6560.6931.6061.6231.1321.0021.6361.0741.6551.4781.6750.5171.2890.3441.6770.2281.4861.6401.5490.5281.0291.5970.8290.1871.3561.2840.9221.5231.5291.3540.2560.9220.5710.8111.573 | -2.245-2.012-2.160-1.892-2.247-2.158-2.230-2.269-0.398-1.468-1.568-2.1420.074-2.274-2.273-0.858-1.321-2.091-0.724-2.258-1.692-2.1960.388-1.796-0.206-2.213-0.014-2.122-2.268-2.231-0.518-0.622-1.991-1.0310.872-1.394-1.220-1.188-1.804-2.195-1.9030.782-0.387-0.592-0.155-2.261 | 0.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.759 | 0.3960.6800.1820.9040.5660.4550.5140.4121.2191.1671.0761.0761.2641.0161.1591.2861.0131.2161.1161.5401.4151.6541.3361.5521.6201.3801.3391.4601.6031.4011.6451.5291.4671.5051.6101.5851.4881.6461.5791.5681.6341.6511.6561.6581.5091.539 | -0.2790.0600.860-1.171-0.578-0.382-0.4860.527-1.707-0.991-1.465-0.779-1.223-1.363-1.605-1.820-0.634-1.107-0.870-2.254-1.590-2.238-1.905-2.267-2.275-1.505-1.404-1.702-2.280-2.016-2.169-2.237-2.126-1.814-2.078-2.280-2.163-2.253-2.000-2.276-2.266-2.187-2.204-2.221-2.200-1.899 | 0.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.793 |
X | Y | Z′ | X | Y | Z′ | X | Y | Z′ |
1.449 | -1.571 | 0.724 | 0.387 | -0.279 | 0.759 | 1.638 | -2.150 | 0.793 |
X | Y | Z′ | X | Y | Z′ | X | Y | Z′ |
-1.310-0.808-1.273-1.432-1.432-1.150-1.053-1.364-0.743-1.402-1.086-1.152-0.819-1.234-0.879-1.342-1.401-0.897-1.425-0.948-1.279-1.247-1.420-1.415-1.436-0.738-1.194-1.438-1.018-1.376-1.311-1.438-0.975-1.384-1.3450.051-0.0900.118-0.038-0.017-0.166-0.670 | 1.4531.5741.4791.2851.1791.1001.1051.1011.0731.3551.5601.5401.0901.5031.5801.0961.1211.1011.1571.5801.0931.0941.3211.1371.2021.5611.5231.2471.5731.3911.0931.2241.1061.1091.4240.3320.5430.2241.1060.4390.6451.543 | 0.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.828 | -1.387-1.065-1.405-1.042-1.269-1.333-1.420-1.215-0.858-1.425-1.392-1.328-1.355-0.788-1.174-0.964-1.375-1.424-1.140-0.886-1.301-1.405-1.414-0.808-0.927-1.254-1.360-1.426-1.237-1.132-1.418-0.719-1.292-0.996-0.733-0.659-0.592-0.466-0.587-0.523-0.370-0.038 | 1.3991.5891.3661.1521.1401.1411.2251.5391.5991.2931.1661.4651.1451.5891.5571.1501.1541.2471.1481.1441.1391.1821.2021.1301.6021.5181.4341.2701.1421.5721.3301.5721.4931.5991.1101.0831.0510.9731.5241.4931.3981.094 | 0.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.862 | -1.271-0.725-1.369-1.033-1.413-1.412-0.955-1.229-1.409-0.835-0.699-1.341-0.800-0.903-1.347-1.108-1.383-1.411-1.404-1.389-0.877-1.294-1.151-1.396-1.403-1.192-1.261-1.232-1.367-0.766-0.972-1.308-1.041-1.132-1.325-0.5860.056-0.350-0.218-0.159-0.462-0.223 | 1.5341.1411.4441.1941.3181.2951.1901.1871.2721.6141.5811.4781.1641.6221.1911.6041.2121.3401.2501.4121.1811.1841.5911.2291.3771.5751.1851.5561.1991.6011.6231.5071.6171.1921.1861.0770.3690.8990.7591.2130.9951.275 | 0.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.897 |
X | Y | Z′ | X | Y | Z′ | X | Y | Z′ |
-0.235-0.360-0.101-0.474-0.668-0.227-0.380-0.415-0.291-0.3060.055-0.457-0.603-0.166-0.601-0.538-0.5360.1430.3440.4030.4950.6670.7820.3060.5610.9540.2320.8910.7260.9500.2260.8310.4530.6220.8270.8930.5831.1751.3191.2431.2271.0621.1991.1230.9971.002 | 1.2940.8541.1710.9451.0480.7181.4020.9010.7881.3501.0011.4501.5201.2341.0191.4910.9840.891-0.1690.5120.3590.045-0.1840.662-0.565-0.5520.028-0.415-0.865-1.2670.778-1.055-0.367-0.675-0.278-1.1650.203-1.658-1.908-1.225-1.749-1.463-1.119-1.568-0.648-1.358 | 0.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.828 | 0.053-0.013-0.2290.121-0.161-0.085-0.528-0.353-0.099-0.221-0.445-0.298-0.2850.138-0.1630.055-0.652-0.4080.8760.5700.4840.8810.2980.7180.5100.3430.2340.6530.3930.6150.4500.5570.9300.2200.3910.7670.8220.9820.9801.2131.0821.0481.1421.2571.0221.301 | 0.9870.4601.2850.2430.6680.5651.0140.8791.1600.7411.4481.3430.8120.8761.2240.3521.5510.928-0.4290.1870.342-1.1600.647-0.857-0.465-0.1530.0460.0290.496-0.663-0.353-0.554-1.2500.763-0.242-0.199-1.051-1.343-0.662-1.753-0.896-1.461-1.035-1.310-0.757-1.909 | 0.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.862 | -0.359-0.4050.051-0.523-0.570-0.282-0.508-0.2900.122-0.158-0.432-0.037-0.083-0.652-0.633-0.0970.135-0.0120.5010.6400.8690.5510.6220.9520.9640.7520.3840.3920.2150.2910.9220.7970.4470.7090.5580.7970.4730.3410.2330.8601.2311.3051.2831.2301.1651.005 | 1.3920.9480.9731.0381.5260.8311.4931.3350.2590.6851.4451.0800.5821.1111.5561.1480.8610.477-0.4460.014-1.155-0.544-0.681-1.310-0.674-0.2140.480-0.2380.7470.631-0.579-1.019-0.342-0.8500.171-0.3080.326-0.1400.061-0.443-1.816-1.950-1.911-1.294-1.140-0.767 | 0.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.897 |
X | Y | Z′ | X | Y | Z′ | X | Y | Z′ |
1.1611.2761.3221.0991.0361.2751.4891.6191.3621.5081.5611.5471.5821.6331.6381.5031.6371.6341.3831.5641.4101.6141.6261.4431.5991.5191.4471.4001.5321.4681.3691.626 | -1.029-1.833-1.415-0.883-0.737-1.301-2.206-2.158-1.982-2.243-2.009-2.283-2.287-2.195-2.229-1.860-2.212-2.245-2.019-2.287-2.067-2.273-2.177-1.711-2.282-2.260-2.131-1.605-2.273-2.168-1.529-2.260 | 0.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.828 | 1.3051.1141.1671.2611.1821.2231.4851.5621.5941.6181.5431.4681.6141.3861.6081.4281.5721.5261.5191.4481.4881.6141.4981.6061.5791.6181.3651.5111.3521.6011.5441.426 | -1.425-1.578-1.671-1.837-1.130-1.228-1.867-2.293-2.279-2.235-2.016-2.211-2.251-1.622-2.183-2.135-2.091-2.288-1.954-2.173-2.248-2.201-2.265-2.266-2.288-2.218-2.022-2.279-1.540-2.165-2.293-1.720 | 0.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.862 | 1.1261.0861.1581.2881.0661.0331.4081.5531.5951.5991.4281.5011.4721.3861.5991.5861.4671.5411.3431.5591.3461.5231.4901.5741.4481.4081.5251.5061.5941.4781.5821.589 | -1.047-1.554-1.685-1.433-0.907-1.459-1.726-2.095-2.205-2.222-2.176-1.961-1.887-2.098-2.239-2.270-2.252-2.297-1.566-2.292-2.024-2.297-2.283-2.283-2.215-2.138-2.021-2.292-2.255-2.269-2.169-2.187 | 0.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.897 |
X | Y | Z′ | X | Y | Z′ | X | Y | Z′ |
-0.744-1.208-1.027-1.082-1.125-0.871-1.319-1.399-1.349-1.396-0.721 | 1.6101.5951.2311.6351.2331.2121.5231.3671.4911.3901.166 | 0.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.931 | -1.388-1.350-1.090-1.387-1.223-1.155-1.261-0.839-1.378-1.001-1.368 | 1.3961.5081.2691.3741.6161.2711.5941.6541.3301.6701.476 | 0.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.966 | -1.304-1.025-1.362-1.197-0.851-1.155-1.284-1.377-0.948-1.235-1.350 | 1.5861.2931.3641.6581.6791.3071.3181.4391.2781.6381.347 | 1.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.000 |
X | Y | Z′ | X | Y | Z′ | X | Y | Z′ |
-0.795-1.256-1.285-1.360-1.400-1.248-1.319-0.878-1.341-1.370-1.398-1.223-1.386-1.125-0.811-1.288-1.015-1.387-1.394-1.167-0.946-0.948-1.3750.131-0.442-0.211-0.037-0.095-0.577-0.6780.054-0.493-0.160-0.552-0.155-0.649-0.380-0.217-0.614-0.3490.119-0.282-0.320-0.419-0.085-0.014 | 1.1921.2291.5511.2471.3451.5751.2321.6401.2381.4601.3221.2301.4261.6251.6281.2291.6441.2781.3001.6121.6461.2251.2610.8460.9950.7611.0671.1351.0921.5870.3821.4910.6981.5271.2011.1320.9401.2651.5591.3850.2721.3270.8831.4400.5950.489 | 0.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.931 | -1.024-1.354-1.296-0.787-1.141-1.253-1.056-0.893-0.794-1.285-1.336-1.327-0.869-1.381-0.721-1.385-1.315-1.099-0.947-0.946-1.368-1.386-1.220-0.721-1.183-0.478-0.536-0.0920.047-0.102-0.271-0.658-0.218-0.327-0.036-0.386-0.448-0.167-0.3180.128-0.5810.048-0.396-0.243-0.0200.112 | 1.2651.2961.5681.6411.6481.2721.6661.6641.2141.2741.2851.5381.2371.4401.6191.3521.2781.6591.6691.2541.3111.4191.2721.1841.6341.4871.5260.6040.3911.1340.8321.5920.7700.8921.0540.9501.0050.7071.3580.8331.1050.9451.4251.2860.4990.281 | 0.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.966 | -0.794-1.329-1.156-1.220-0.873-0.723-1.371-1.090-1.114-1.272-1.072-0.909-1.028-1.252-1.314-1.365-1.373-1.350-0.799-0.728-0.969-1.376-1.333-0.445-0.6590.058-0.365-0.162-0.524-0.229-0.370-0.654-0.433-0.181-0.5050.100-0.035-0.300-0.034-0.298-0.1050.035-0.098-0.239-0.5800.146 | 1.6631.5581.6731.3111.2571.6371.3841.3021.6851.6151.6921.6901.6961.3141.3251.4931.4661.5271.2291.1961.6961.4111.3341.4691.1580.9190.9231.1951.5271.2681.4061.6050.9880.7121.0490.2881.0430.8550.5051.3390.6100.3971.1200.7851.1060.791 | 1.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.000 |
X | Y | Z′ | X | Y | Z′ | X | Y | Z′ |
-0.2640.050-0.5080.2300.2100.5440.4410.8560.7420.4630.6280.7390.8450.9730.9490.5470.2850.6990.8890.3760.3370.9310.6290.7821.0841.2121.0181.0951.3261.1481.2261.0491.3051.2701.2641.0561.1861.0071.1411.5661.4331.5391.5741.5801.4571.408 | 0.8230.9581.0460.0730.732-0.536-0.332-1.151-0.9280.3120.000-0.226-0.455-1.373-0.6850.1570.616-0.844-0.5520.465-0.129-1.294-0.704-1.008-0.997-1.299-1.456-1.600-2.025-1.148-1.841-0.916-1.522-1.439-1.911-1.527-1.768-0.818-1.684-2.271-1.837-2.293-2.256-2.223-2.270-2.178 | 0.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.931 | -0.651-0.596-0.513-0.1710.8310.6170.7260.7860.5370.8710.6870.2020.9340.2790.9490.8410.4530.3710.2870.6160.4540.2050.5340.6640.7350.3681.0431.0001.3051.0681.2531.1221.3181.2871.1321.2010.9951.1951.0331.2441.4371.5441.3711.5341.5601.406 | 1.1481.5611.0571.212-0.463-0.695-0.236-0.3650.145-0.551-0.8380.122-0.6920.602-1.356-1.146-0.365-0.202-0.039-0.0110.2990.718-0.528-0.109-0.9360.452-1.534-1.453-2.023-1.002-1.441-1.682-1.600-1.524-1.153-1.829-0.833-1.304-0.922-1.909-2.269-2.168-1.731-2.281-2.220-2.215 | 0.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.966 | -0.5880.2750.3590.3890.7570.1900.6070.8970.5210.6720.8800.6010.7520.4640.8540.4400.7150.9360.8240.9740.9800.3120.2310.9200.5360.8190.7141.1871.0451.1001.1751.0181.0141.2831.1561.2771.2351.0561.3081.2221.1151.3531.5351.3651.5261.397 | 1.568-0.032-0.1950.393-0.3320.129-0.019-1.286-0.521-0.831-0.605-0.686-0.9950.257-0.546-0.358-0.243-1.363-1.141-0.819-1.4490.5280.660-0.6960.120-0.468-0.918-1.841-1.573-1.678-1.296-0.924-1.514-2.019-1.783-1.542-1.441-1.011-1.619-1.905-1.153-1.728-2.246-2.172-2.261-1.838 | 1.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.000 |
X | Y | Z′ | X | Y | Z′ | X | Y | Z′ |
1.5341.4271.5791.4701.5211.5031.485134713871.5061.4461.4731.5701.5761.5631.3901.554 | -2.097-2.216-2.240-2.284-2.298-2.298-2.293-1.624-2.140-2.023-2.254-1.940-2.188-2.206-2.170-1.730-2.284 | 0.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.931 | 1.4831.4501.5601.4261.5021.5521.4871.5161.4241.55713671.3871.5191.4651.5461.4541.555 | -2.295-2.282-2.237-2.252-2.295-2.186-2.022-2.095-1.863-2.203-2.139-2.177-2.290-2.291-2.268-1.939-2.254 | 0.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.966 | 1.3451.5001.5251.3861.4821.4461.4681.5401.4961.4641.4271.4171.5401.5141.4061.4301.535 | -2.134-2.283-2.162-2.210-2.288-2.285-2.017-2.208-2.090-2.289-1.916-2.263-2.230-2.273-2.247-2.276-2.185 | 1.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.000 |
为了在其他同样的涡轮设计中使用,上表中所述的翼面在几何上可换比例放大或缩小。因此,表1中的坐标值可以向上或向下变化,而翼面截面形状保持不改变。表1中的坐标的比例变换形式中用X、Y和Z坐标值(在Z值转换为英寸以后)乘以或除以相同的常数或数字表示。
虽然,已经结合最实际和优选的实施例说明了本发明,但应了解,本发明不是仅局限于所述的实施例。相反,在所附权利要求书的精神和范围内,涵盖各种改进和等同的结构。
Claims (10)
1.一种涡轮叶片(22),它的叶片翼面包络面形状在与任何翼面表面位置垂直的方向上在±0.160英寸内,其中,该翼面具有基本上按照表1中列出的X、Y和Z笛卡几坐标值的名义轮廓;其中,Z为沿着与涡轮回转轴线半径方向一致的叶片中心线的无因次值,通过将Z值乘以翼面高度,并将其乘积与叶片的根部半径相加,可将该无因次值转换为离所述涡轮轴线的以英寸表示的Z距离;其中,X和Y为确定在每一个距离Z处的翼面轮廓的以英寸表示的距离,在Z距离处的轮廓彼此平滑地连接,形成一个完整的翼面形状,其中:
表1
X
Y
Z′
X
Y
Z′
X
Y
Z′
-1.672-1.429-1.614-1.734-1.725-1.631-1.485-1.496-1.731-1.693-1.518-1.357-1.557-1.734-1.453-1.692-1.273
0.1750.9080.1520.2780.3780.6120.1340.8250.3440.4800.1370.9870.7370.3110.1300.1880.113
0.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.000
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Z′
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0.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.828
0.053-0.013-0.2290.121-0.161-0.085-0.528-0.353-0.099-0.221-0.445-0.298-0.2850.138-0.1630.055-0.652-0.4080.8760.5700.4840.8810.2980.7180.5100.3430.2340.6530.3930.6150.4500.5570.9300.2200.3910.7670.8220.9820.9801.2131.0821.0481.1421.2571.0221.301
0.9870.4601.2850.2430.6680.5651.0140.8791.1600.7411.4481.3430.8120.8761.2240.3521.5510.928-0.4290.1870.342-1.1600.647-0.857-0.465-0.1530.0460.0290.496-0.663-0.353-0.554-1.2500.763-0.242-0.199-1.051-1.343-0.662-1.753-0.896-1.461-1.035-1.310-0.757-1.909
0.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.862
-0.359-0.4050.051-0.523-0.570-0.282-0.508-0.2900.122-0.158-0.432-0.037-0.083-0.652-0.633-0.0970.135-0.0120.5010.6400.8690.5510.6220.9520.9640.7520.3840.3920.2150.2910.9220.7970.4470.7090.5580.7970.4730.3410.2330.8601.2311.3051.2831.2301.1651.005
1.3920.9480.9731.0381.5260.8311.4931.3350.2590.6851.4451.0800.5821.1111.5561.1480.8610.477-0.4460.014-1.155-0.544-0.681-1.310-0.674-0.2140.480-0.2380.7470.631-0.579-1.019-0.342-0.8500.171-0.3080.326-0.1400.061-0.443-1.816-1.950-1.911-1.294-1.140-0.767
0.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.897
X
Y
Z′
X
Y
Z′
X
Y
Z′
1.1611.2761.3221.0991.0361.2751.4891.6191.3621.5081.5611.5471.5821.6331.6381.5031.6371.6341.3831.5641.4101.6141.6261.4431.5991.5191.4471.4001.5321.4681.3691.626
-1.029-1.833-1.415-0.883-0.737-1.301-2.206-2.158-1.982-2.243-2.009-2.283-2.287-2.195-2.229-1.860-2.212-2.245-2.019-2.287-2.067-2.273-2.177-1.711-2.282-2.260-2.131-1.605-2.273-2.168-1.529-2.260
0.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.828
1.3051.1141.1671.2611.1821.2231.4851.5621.5941.6181.5431.4681.6141.3861.6081.4281.5721.5261.5191.4481.4881.6141.4981.6061.5791.6181.3651.5111.3521.6011.5441.426
-1.425-1.578-1.671-1.837-1.130-1.228-1.867-2.293-2.279-2.235-2.016-2.211-2.251-1.622-2.183-2.135-2.091-2.288-1.954-2.173-2.248-2.201-2.265-2.266-2.288-2.218-2.022-2.279-1.540-2.165-2.293-1.720
0.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.862
1.1261.0861.1581.2881.0661.0331.4081.5531.5951.5991.4281.5011.4721.3861.5991.5861.4671.5411.3431.5591.3461.5231.4901.5741.4481.4081.5251.5061.5941.4781.5821.589
-1.047-1.554-1.685-1.433-0.907-1.459-1.726-2.095-2.205-2.222-2.176-1.961-1.887-2.098-2.239-2.270-2.252-2.297-1.566-2.292-2.024-2.297-2.283-2.283-2.215-2.138-2.021-2.292-2.255-2.269-2.169-2.187
0.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.897
X
Y
Z′
X
Y
Z′
X
Y
Z′
-0.744-1.208-1.027-1.082-1.125-0.871-1.319-1.399-1.349-1.396-0.721
1.6101.5951.2311.6351.2331.2121.5231.3671.4911.3901.166
0.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.931
-1.388-1.350-1.090-1.387-1.223-1.155-1.261-0.839-1.378-1.001-1.368
1.3961.5081.2691.3741.6161.2711.5941.6541.3301.6701.476
0.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.966
-1.304-1.025-1.362-1.197-0.851-1.155-1.284-1.377-0.948-1.235-1.350
1.5861.2931.3641.6581.6791.3071.3181.4391.2781.6381.347
1.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.000
X
Y
Z′
X
Y
Z′
X
Y
Z′
-0.795-1.256-1.285-1.360-1.400-1.248-1.319-0.878-1.341-1.370-1.398-1.223-1.386-1.125-0.811-1.288-1.015-1.387-1.394-1.167-0.946-0.948-1.3750.131-0.442-0.211-0.037-0.095-0.577-0.6780.054-0.493-0.160-0.552-0.155-0.649-0.380-0.217-0.614-0.3490.119-0.282-0.320-0.419-0.085-0.014
1.1921.2291.5511.2471.3451.5751.2321.6401.2381.4601.3221.2301.4261.6251.6281.2291.6441.2781.3001.6121.6461.2251.2610.8460.9950.7611.0671.1351.0921.5870.3821.4910.6981.5271.2011.1320.9401.2651.5591.3850.2721.3270.8831.4400.5950.489
0.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.931
-1.024-1.354-1.296-0.787-1.141-1.253-1.056-0.893-0.794-1.285-1.336-1.327-0.869-1.381-0.721-1.385-1.315-1.099-0.947-0.946-1.368-1.386-1.220-0.721-1.183-0.478-0.536-0.0920.047-0.102-0.271-0.658-0.218-0.327-0.036-0.386-0.448-0.167-0.3180.128-0.5810.048-0.396-0.243-0.0200.112
1.2651.2961.5681.6411.6481.2721.6661.6641.2141.2741.2851.5381.2371.4401.6191.3521.2781.6591.6691.2541.3111.4191.2721.1841.6341.4871.5260.6040.3911.1340.8321.5920.7700.8921.0540.9501.0050.7071.3580.8331.1050.9451.4251.2860.4990.281
0.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.966
-0.794-1.329-1.156-1.220-0.873-0.723-1.371-1.090-1.114-1.272-1.072-0.909-1.028-1.252-1.314-1.365-1.373-1.350-0.799-0.728-0.969-1.376-1.333-0.445-0.6590.058-0.365-0.162-0.524-0.229-0.370-0.654-0.433-0.181-0.5050.100-0.035-0.300-0.034-0.298-0.1050.035-0.098-0.239-0.5800.146
1.6631.5581.6731.3111.2571.6371.3841.3021.6851.6151.6921.6901.6961.3141.3251.4931.4661.5271.2291.1961.6961.4111.3341.4691.1580.9190.9231.1951.5271.2681.4061.6050.9880.7121.0490.2881.0430.8550.5051.3390.6100.3971.1200.7851.1060.791
1.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.000
X
Y
Z′
X
Y
Z′
X
Y
Z′
-0.2640.050-0.5080.2300.2100.5440.4410.8560.7420.4630.6280.7390.8450.9730.9490.5470.2850.6990.8890.3760.3370.9310.6290.7821.0841.2121.0181.0951.3261.1481.2261.0491.3051.2701.2641.0561.1861.0071.1411.5661.4331.5391.5741.5801.4571.408
0.8230.9581.0460.0730.732-0.536-0.332-1.151-0.9280.3120.000-0.226-0.455-1.373-0.6850.1570.616-0.844-0.5520.465-0.129-1.294-0.704-1.008-0.997-1.299-1.456-1.600-2.025-1.148-1.841-0.916-1.522-1.439-1.911-1.527-1.768-0.818-1.684-2.271-1.837-2.293-2.256-2.223-2.270-2.178
0.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.931
-0.651-0.596-0.513-0.1710.8310.6170.7260.7860.5370.8710.6870.2020.9340.2790.9490.8410.4530.3710.2870.6160.4540.2050.5340.6640.7350.3681.0431.0001.3051.0681.2531.1221.3181.2871.1321.2010.9951.1951.0331.2441.4371.5441.3711.5341.5601.406
1.1481.5611.0571.212-0.463-0.695-0.236-0.3650.145-0.551-0.8380.122-0.6920.602-1.356-1.146-0.365-0.202-0.039-0.0110.2990.718-0.528-0.109-0.9360.452-1.534-1.453-2.023-1.002-1.441-1.682-1.600-1.524-1.153-1.829-0.833-1.304-0.922-1.909-2.269-2.1681.731-2.281-2.220-2.215
0.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.966
-0.5880.2750.3590.3890.7570.1900.6070.8970.5210.6720.8800.6010.7520.4640.8540.4400.7150.9360.8240.9740.9800.3120.2310.9200.5360.8190.7141.1871.0451.1001.1751.0181.0141.2831.1561.2771.2351.0561.3081.2221.1151.3531.5351.3651.5261.397
1.568-0.032-0.1950.393-0.3320.129-0.019-1.286-0.521-0.831-0.605-0.686-0.9950.257-0.546-0.358-0.243-1.363-1.141-0.819-1.4490.5280.660-0.6960.120-0.468-0.918-1.841-1.573-1.678-1.296-0.924-1.514-2.019-1.783-1.542-1.441-1.011-1.619-1.905-1.153-1.728-2.246-2.172-2.261-1.838
1.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.000
X
Y
Z′
X
Y
Z′
X
Y
Z′
1.5341.4271.5791.4701.5211.5031.4851.3471.3871.5061.4461.4731.5701.5761.5631.3901.554
-2.097-2.216-2.240-2.284-2.298-2.298-2.293-1.624-2.140-2.023-2.254-1.940-2.188-2.206-2.170-1.730-2.284
0.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.931
1.4831.4501.5601.4261.5021.5521.4871.5161.4241.5571.3671.3871.5191.4651.5461.4541.555
-2.295-2.282-2.237-2.252-2.295-2.186-2.022-2.095-1.863-2.203-2.139-2.177-2.290-2.291-2.268-1.939-2.254
0.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.966
1.3451.5001.5251.3861.4821.4461.4681.5401.4961.4641.4271.4171.5401.5141.4061.4301.535
-2.134-2.283-2.162-2.210-2.288-2.285-2.017-2.208-2.090-2.289-1.916-2.263-2.230-2.273-2.247-2.276-2.185
1.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.000
2.如权利要求1所述的涡轮叶片,其特征为,它形成第二级涡轮的一部分。
3.如权利要求1所述的涡轮叶片,其特征为,Z值是从沿着涡轮轴线半径的叶片中心线与通过涡轮流道的根部半径的交点测量的。
4.如权利要求1所述的涡轮叶片,其特征为,翼面叶片的根部半径为46.530英寸,翼面叶片自根部半径的高度为13.63英寸。
5.一种涡轮叶片,它具有基本上按照表1的X、Y和Z笛卡几坐标值的没有涂层的名义翼面轮廓,其中,Z为沿着与涡轮回转轴线半径方向一致的叶片中心线的无因次值,通过将Z值乘以翼面高度,并将其乘积与叶片的根部半径相加,可将该无因次值转换为以英寸表示的Z距离;其中,X和Y为确定在每一个距离Z处的翼面轮廓的以英寸表示的距离,在Z距离处的轮廓互相平滑地连接,形成一个完整的翼面形状;X和Y距离可作为同一个常数或数字的函数按比例改变,形成比例放大或缩小的叶片翼面,其中:
表1
X
Y
Z′
X
Y
Z′
X
Y
Z′
-1.672-1.429-1.614-1.734-1.725-1.631-1.485-1.496-1.731-1.693-1.518-1.357-1.557-1.734-1.453-1.692-1.273
0.1750.9080.1520.2780.3780.6120.1340.8250.3440.4800.1370.9870.7370.3110.1300.1880.113
0.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.000
-1.522-1.268-1.684-1.406-1.722-1.538-1.597-1.722-1.664-1.475-1.615-1.711-1.678-1.358-1.718-1.485-1.632
0.1730.1410.2290.9360.3520.7710.1880.3190.2150.8550.6480.4180.5190.1510.3850.1670.199
0.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.035
-1.697-1.477-1.701-1.351-1.561-1.589-1.705-1.663-1.599-1.520-1.420-1.515-1.472-1.707-1.710-1.690-1.709
0.4580.2010.3100.1820.7450.2250.4250.5570.6840.8030.9250.2080.8650.3340.3600.2880.392
0.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.069
X
Y
Z′
X
Y
Z′
X
Y
Z′
-1.664-1.644-1.721-1.582-1.730-1.596-1.716-1.298-1.709-1.550-1.059-0.960-1.033-0.885-0.952-1.172-0.818-1.104-0.809-1.237-1.166-0.554-0.025-0.649-0.2500.062-0.426-0.098-0.685-0.177-0.300-0.056-0.408-0.1730.132-0.488-0.329-0.7300.046-0.5680.7460.5281.0290.4500.6380.301
0.5470.1610.2280.1460.2520.6750.4111.0440.2060.1410.0871.2651.2321.2930.0691.1470.0411.1921.3141.0970.101-0.0341.1361.3331.256-0.326-0.0811.1810.007-0.193-0.134-0.2571.3071.2211.0241.3231.2851.3271.0891.331-0.844-0.659-1.1120.730-0.750-0.485
0.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.000
-1.271-1.711-1.447-1.648-1.578-1.702-1.331-1.718-1.560-1.700-1.207-0.850-1.054-0.999-0.813-1.141-1.161-0.947-0.926-1.071-0.680-0.145-0.299-0.296-0.071-0.615-0.054-0.773-0.422-0.2210.0010.1560.070-0.535-0.695-0.3760.064-0.174-0.550-0.4550.8860.2380.3010.4690.4150.184
1.0650.2690.1620.5840.7100.4511.0110.2940.1790.2471.1141.2890.1121.2370.0661.1600.1270.0941.2661.2010.0311.1971.263-0.1091.1571.319-0.2321.306-0.0561.2331.1131.0011.0651.3151.3161.286-0.302-0.168-0.0101.304-0.9580.932-0.4620.708-0.548-0.379
0.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.035
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0.1951.0340.1700.9810.4900.2380.2160.6220.2700.2551.2681.1320.1200.0910.1481.2881.1741.2111.2431.0851.3020.982-0.2081.2701.2450.016-0.0841.308-0.2781.3011.3081.214-0.0311.094-0.1431.2890.0571.0461.1781.1380.4290.6910.842-0.357-0.4400.152
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0.6470.3470.4980.4190.4660.2680.7380.3360.5740.1960.2260.8180.9140.6730.5840.7170.8510.9520.9651.2281.1211.3901.3161.3181.3901.1811.0611.2471.3541.1801.0591.0061.0951.1331.2661.7141.5131.6801.5241.6001.5891.4691.6631.6941.7061.708
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0.6900.6900.6900.6900.6900.6900.6900.6900.6900.6900.6900.6900.6900.6900.6900.6900.6900.6900.6900.6900.6900.6900.6900.6900.6900.6900.6900.6900.6900.6900.6900.6900.6900.6900.6900.6900.6900.6900.6900.6900.6900.6900.6900.6900.6900.690
X
Y
Z′
X
Y
Z′
X
Y
Z′
1.6521.3521.3621.4651.6281.7321.7551.7531.7471.6681.6731.2911.1241.0331.6391.685
-2.245-1.192-1.799-1.462-2.217-2.121-2.194-2.176-2.158-2.253-1.969-1.690-0.669-0.472-2.233-2.257
0.6210.6210.6210.6210.6210.6210.6210.6210.6210.6210.6210.6210.6210.6210.6210.621
1.7251.6331.6651.4461.7201.6831.6951.6761.5321.7281.5441.7361.5791.7141.5661.713
-2.230-2.248-2.260-1.464-2.143-2.259-2.078-2.030-1.672-2.162-2.113-2.197-1.788-2.243-2.148-2.124
0.6550.6550.6550.6550.6550.6550.6550.6550.6550.6550.6550.6550.6550.6550.6550.655
1.7161.5001.6131.4321.5681.4451.7131.6461.6671.7011.6281.6351.5471.6021.5561.694
-2.200-2.076-2.251-1.969-2.187-1.510-2.218-2.263-2.059-2.147-2.259-1.977-2.151-1.896-1.783-2.247
0.6900.6900.6900.6900.6900.6900.6900.6900.6900.6900.6900.6900.6900.6900.6900.690
X Y Z′ X Y Z′ X Y Z′
-1.135-0.716-0.844-1.471-1.246-1.448-1.436-1.305-1.290-1.467-0.912-1.431-1.047-1.411-0.787-1.332-0.930-0.777-1.199-1.271-1.236-1.389-0.980-1.475-1.142-1.339-1.454
1.4641.5020.9461.0631.4121.0121.2310.9511.3831.1590.9530.9950.9550.9811.5101.3511.5100.9341.4370.9490.9490.9700.9551.0910.9520.9561.196
0.7240.7240.7240.7240.7240.7240.7240.7240.7240.7240.7240.7240.7240.7240.7240.7240.7240.7240.7240.7240.7240.7240.7240.7240.7240.7240.724
-0.828-1.420-1.436-1.222-1.461-1.400-0.761-1.327-1.265-0.3800.040-0.244-0.030-0.491-0.632-1.054-0.096-0.310-0.283-1.352-1.462-0.843-0.772-0.156-0.104-1.032-0.038
0.9941.0361.0530.9981.1161.0220.9811.0011.4290.7881.0440.6580.3861.4491.5011.5171.1810.7251.3311.0051.1621.5361.5301.2340.4891.0061.126
0.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.759
-1.359-1.170-1.289-1.258-1.450-0.756-1.432-1.162-1.409-1.389-1.037-1.445-1.451-0.756-1.436-1.449-0.832-1.251-0.987-1.415-0.898-1.105-0.910-1.366-1.325-1.425-1.444
1.3841.5061.4411.0461.2041.5471.2791.0511.0771.3501.5461.2421.1811.0291.1141.1581.0451.4661.0571.3131.5591.5291.0541.0551.4141.0941.136
0.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.793
X
Y
Z′
X
Y
Z′
X
Y
Z′
-1.000-1.462-0.711-1.371-1.068-1.474-0.858-1.365-1.406-0.192-0.038-0.289-0.0370.105-0.393-0.642-0.223-0.5010.118-0.357-0.645-0.159-0.112-0.451-0.2550.042-0.428-0.576-0.3220.035-0.575-0.511-0.0980.3290.8240.8650.3450.9490.9370.5770.2260.8400.2620.5270.4610.706
1.5011.0360.9181.3151.4861.1201.5130.9621.2750.5551.1321.3310.3590.1520.7510.8951.2861.4420.9681.3721.4881.2370.4590.7940.6251.0521.4091.4690.6900.2560.8670.8331.1860.701-0.143-0.225-0.225-1.217-0.376-0.605-0.035-1.0390.7920.400-0.4150.086
0.7240.7240.7240.7240.7240.7240.7240.7240.7240.7240.7240.7240.7240.7240.7240.7240.7240.7240.7240.7240.7240.7240.7240.7240.7240.7240.7240.7240.7240.7240.7240.7240.7240.7240.7240.7240.7240.7240.7240.7240.7240.7240.7240.7240.7240.724
-0.437-1338-0.985-0.565-1.303-0.702-0.915-0.419-1.443-0.182-0.896-0.218-1.128-1.377-0.3500.041-1.371-1.448-1.186-1.426-1.401-1.226-0.560-1.456-1.463-0.964-0.695-0.497-1.2740.109-0.626-1.4560.115-1.1210.6070.6580.4220.3220.7360.8530.9891.2281.1891.1801.2321.670
0.8321.3751.5291.4791.4031.5181.5361.4141.2370.5871.0021.2841.0021.0121.3740.2821.3441.0721.4721.2721.3091.4520.9091.0931.1391.0060.9630.8730.9970.1770.9391.2000.9591.4980.232-0.7400.5410.690-0.874-0.242-0.533-1.696-0.992-1.616-1.096-2.179
0.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.759
-1.300-1.341-1.389-1.065-0.826-0.968-1.212-0.547-0.1700.038-0.038-0.234-0.390-0.299-0.680-0.618-0.425-0.1730.046-0.686-0.096-0.484-0.4690.114-0.2400.111-0.103-0.552-0.369-0.612-0.023-0.3140.5060.7290.6600.2300.9070.3140.7960.3440.8610.7340.2490.9480.7930.595
1.0461.0501.0641.0561.5561.5561.4880.9491.2421.0341.1170.6901.4040.7581.0071.5120.8690.6180.3081.5320.5170.9111.4480.2011.3000.9481.1811.4870.8230.9810.4141.3540.374-0.035-0.7430.008-0.4000.677-0.169-0.187-0.303-0.8750.769-0.491-0.9780.218
0.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.793
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6.如权利要求5所述的涡轮叶片,其特征为,它形成第二级涡轮的一部分。
7.如权利要求5所述的涡轮叶片,其特征为,翼面叶片的根部半径为46.530英寸,翼面叶片自根部半径的高度为13.63英寸。
8.一种涡轮(10),它包括具有多个叶片(22)的一个涡轮叶轮(16),每一个所述叶片在与任何翼面表面位置垂直的方向上的翼面包络面形状在±0.160英寸内;其中该翼面具有基本上按照表1中的X、Y和Z笛卡几坐标值的名义轮廓;其中,Z为沿着与涡轮回转轴线半径方向一致的叶片中心线的无因次值,通过将Z值乘以翼面高度,并将其乘积与叶片的根部半径相加,可将该无因次值转换为离所述涡轮轴线的以英寸表示的Z 离;其中,X和Y为确定在每一个距离Z处的翼面轮廓的以英寸表示的距离,在Z距离处的轮廓彼此平滑地连接,形成一个完整的翼面形状,其中:
表1
X
Y
Z′
X
Y
Z′
X
Y
Z′
-1.672-1.429-1.614-1.734-1.725-1.631-1.485-1.496-1.731-1.693-1.518-1.357-1.557-1.734-1.453-1.692-1.273
0.1750.9080.1520.2780.3780.6120.1340.8250.3440.4800.1370.9870.7370.3110.1300.1880.113
0.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.000
-1.522-1.268-1.684-1.406-1.722-1.538-1.597-1.722-1.664-1.475-1.615-1.711-1.678-1.358-1.718-1.485-1.632
0.1730.1410.2290.9360.3520.7710.1880.3190.2150.8550.6480.4180.5190.1510.3850.1670.199
0.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.035
-1.697-1.477-1.701-1.351-1.561-1.589-1.705-1.663-1.599-1.520-1.420-1.515-1.472-1.707-1.710-1.690-1.709
0.4580.2010.3100.1820.7450.2250.4250.5570.6840.8030.9250.2080.8650.3340.3600.2880.392
0.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.069
X Y Z′ X Y Z′ X Y Z′
-1.664-1.644-1.721-1.582-1.730-1.596-1.716-1.298-1.709-1.550-1.059-0.960-1.033-0.885-0.952-1.172-0.818-1.104-0.809-1.237-1.166-0.554-0.025-0.649-0.2500.062-0.426-0.098-0.685-0.177-0.300-0.056-0.408-0.1730.132-0.488-0.329-0.7300.046-0.5680.7460.5281.0290.4500.6380.301
0.5470.1610.2280.1460.2520.6750.4111.0440.2060.1410.0871.2651.2321.2930.0691.1470.0411.1921.3141.0970.101-0.0341.1361.3331.256-0.326-0.0811.1810.007-0.193-0.134-0.2571.3071.2211.0241.3231.2851.3271.0891.331-0.844-0.659-1.1120.730-0.750-0.485
0.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.000
-1.271-1.711-1.447-1.648-1.578-1.702-1.331-1.718-1.560-1.700-1.207-0.850-1.054-0.999-0.813-1.141-1.161-0.947-0.926-1.071-0.680-0.145-0.299-0.296-0.071-0.615-0.054-0.773-0.422-0.2210.0010.1560.070-0.535-0.695-0.3760.064-0.174-0.550-0.4550.8860.2380.3010.4690.4150.184
1.0650.2690.1620.5840.7100.4511.0110.2940.1790.2471.1141.2890.1121.2370.0661.1600.1270.0941.2661.2010.0311.1971.263-0.1091.1571.319-0.2321.306-0.0561.2331.1131.0011.0651.3151.3161.286-0.302-0.168-0.0101.304-0.9580.932-0.4620.708-0.548-0.379
0.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.035
-1.440-1.307-1.261-1.365-1.688-1.623-1.552-1.633-1.674-1.656-0.895-1.180-0.941-0.807-1.101-0.819-1.112-1.042-0.969-1.245-0.5050.175-0.050-0.349-0.273-0.544-0.291-0.5850.066-0.742-0.664-0.196-0.4160.023-0.170-0.427-0.6740.091-0.121-0.0480.7070.4840.3350.1850.3020.912
0.1951.0340.1700.9810.4900.2380.2160.6220.2700.2551.2681.1320.1200.0910.1481.2881.1741.2111.2431.0851.3020.982-0.2081.2701.2450.016-0.0841.308-0.2781.3011.3081.214-0.0311.094-0.1431.2890.0571.0461.1781.1380.4290.6910.842-0.357-0.4400.152
0.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.069
X
Y
Z′
X
Y
Z′
X
Y
Z′
0.6821.0960.4160.2970.1830.3750.8890.5680.8960.2160.7910.9981.2591.3051.5331.4151.3601.5211.6211.5761.2981.1911.4271.4811.1651.9791.8982.0872.0572.1031.9341.9062.0051.8812.0972.1052.0781.9161.7181.9972.1022.0731.8352.0402.0512.065
0.466-0.105-0.5700.883-0.4040.808-0.9760.6000.1860.9550.3270.042-0.365-0.442-1.663-0.633-0.535-0.826-1.022-0.932-1.394-0.253-1.540-0.752-1.252-2.217-2.139-2.182-2.210-2.145-2.187-1.636-2.222-2.113-2.164-2.124-2.042-2.164-1.220-1.851-2.104-2.198-2.047-2.217-1.979-2.010
0.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.000
0.9050.7441.1000.5270.6370.6961.0251.0040.5850.8020.3950.3181.2911.5711.6121.5141.1591.4651.4111.1931.5231.4191.3041.3661.6252.0392.0461.8941.9682.0592.0681.7241.9221.8662.0821.8801.6661.9861.7702.0332.0721.9081.8201.8802.0852.084
0.167-0.825-0.122-0.638-0.7300.445-1.0960.0240.5790.3080.7850.860-1.381-0.951-1.034-0.840-1.237-0.747-0.648-0.270-1.653-1.528-0.458-0.567-1.780-2.210-2.014-2.149-2.219-2.045-2.184-1.910-2.187-2.108-2.107-2.128-1.144-2.222-1.368-1.982-2.077-2.169-1.479-1.617-2.127-2.147
0.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.035
0.7410.8821.0090.5270.4110.2571.0190.6350.4150.5981.1020.8111.3471.1921.6021.4621.4091.2831.1531.4931.3011.5501.5051.5621.4051.8652.0592.0651.9861.9202.0491.8512.0262.0391.9511.9352.0621.8661.7102.0661.9681.9632.0141.7421.8791.906
-0.808-0.9430.009-0.6190.7670.913-1.082-0.712-0.5280.562-0.1370.292-0.553-0.284-1.044-0.768-1.519-1.371-1.225-1.622-0.471-0.940-0.851-1.709-0.660-2.124-2.167-2.149-2.221-2.200-2.185-2.103-2.016-2.048-2.218-2.211-2.109-1.628-1.904-2.129-2.221-1.860-1.985-1.345-2.144-2.184
0.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.069
X
Y
Z′
X
Y
Z′
X
Y
Z′
1.8341.8772.0231.9551.6371.7871.7381.7722.0921.6731.944
-1.471-1.570-2.221-2.205-1.789-1.981-1.916-1.336-2.073-1.126-1.724
0.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.000
1.9281.9371.7072.0782.0222.0042.0541.8201.7721.9521.981
-1.730-2.203-1.231-2.166-2.218-2.221-2.199-2.041-1.975-2.212-1.856
0.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.035
1.8921.6521.7811.6942.0521.6452.0032.0361.9111.8052.020
-2.164-1.150-2.003-1.239-2.079-1.817-2.218-2.200-1.735-1.486-2.211
0.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.069
X
Y
Z′
X
Y
Z′
X
Y
Z′
-1.155-1.506-1.221-1.698-1.503-0.792-1.649-1.094-1.579-1.618-1.453-1.015-1.583-1.432-1.343-1.469-0.814-1.086-1.543-1.664-1.400-1.344-1.614-0.867-1.689-1.675-1.679-0.942-1.285-1.697-1.545-0.934
1.1490.2441.1060.4000.8361.2890.5940.1780.2630.6580.8961.2220.7190.2300.2150.2370.1221.1880.2530.3100.9531.0070.2771.2730.3500.5280.3281.2511.0580.4320.7790.149
0.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.103
-1.635-1.662-1.679-1.653-1.324-1.668-1.686-1.435-1.459-1.683-1.569-1.422-1.678-1.604-1.333-1.684-1.264-1.636-1.603-1.486-1.568-1.529-1.496-1.533-1.381-1.671-0.917-1.132-1.244-0.842-0.926-0.806
0.3340.5660.5030.3491.0330.3680.4390.9260.2730.4140.3020.2660.3900.6940.2500.4711.0820.6310.3160.8680.7540.8120.2820.2910.9820.5351.2601.1680.2361.2790.1790.151
0.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.138
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X
Y
Z′
X
Y
Z′
X
Y
Z′
0.3950.6630.5270.1920.7310.6190.4311.1051.1961.1951.0171.3731.3301.0071.2491.1481.0441.2681.1001.3711.3021.4121.4951.5051.6091.4241.6891.5931.6261.5781.6861.5801.6751.6751.5491.6971.6161.6431.6951.5271.6941.5411.6451.5691.6601.682
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1.6661.4191.6631.5581.5601.5081.6741.5880.4581.0901.4271.6560.6931.6061.6231.1321.0021.6361.0741.6551.4781.6750.5171.2890.3441.6770.2281.4861.6401.5490.5281.0291.5970.8290.1871.3561.2840.9221.5231.5291.3540.2560.9220.5710.8111.573
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0.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.7590.759
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0.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.7930.793
X
Y
Z′
X
Y
Z′
X
Y
Z′
1.449
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X
Y
Z′
X
Y
Z′
X
Y
Z′
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1.4531.5741.4791.2851.1791.1001.1051.1011.0731.3551.5601.5401.0901.5031.5801.0961.1211.1011.1571.5801.0931.0941.3211.1371.2021.5611.5231.2471.5731.3911.0931.2241.1061.1091.4240.3320.5430.2241.1060.4390.6451.543
0.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.8280.828
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1.3991.5891.3661.1521.1401.1411.2251.5391.5991.2931.1661.4651.1451.5891.5571.1501.1541.2471.1481.1441.1391.1821.2021.1301.6021.5181.4341.2701.1421.5721.3301.5721.4931.5991.1101.0831.0510.9731.5241.4931.3981.094
0.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.8620.862
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1.5341.1411.4441.1941.3181.2951.1901.1871.2721.6141.5811.4781.1641.6221.1911.6041.2121.3401.2501.4121.1811.1841.5911.2291.3771.5751.1851.5561.1991.6011.6231.5071.6171.1921.1861.0770.3690.8990.7591.2130.9951.275
0.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.897
X
Y
Z′
X
Y
Z′
X
Y
Z′
-0.235-0.360-0.101-0.474-0.668-0.227-0.380-0.415-0.291-0.3060.055-0.457-0.603-0.166-0.601-0.538-0.5360.1430.3440.4030.4950.6670.7820.3060.5610.9540.2320.8910.7260.9500.2260.8310.4530.6220.8270.8930.5831.1751.3191.2431.2271.0621.1991.1230.9971.002
1.2940.8541.1710.9451.0480.7181.4020.9010.7881.3501.0011.4501.5201.2341.0191.4910.9840.891-0.1690.5120.3590.045-0.1840.662-0.565-0.5520.028-0.415-0.865-1.2670.778-1.055-0.367-0.675-0.278-1.1650.203-1.658-1.908-1.225-1.749-1.463-1.119-1.568-0.648-1.358
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0.9870.4601.2850.2430.6680.5651.0140.8791.1600.7411.4481.3430.8120.8761.2240.3521.5510.928-0.4290.1870.342-1.1600.647-0.857-0.465-0.1530.0460.0290.496-0.663-0.353-0.554-1.2500.763-0.242-0.199-1.051-1.343-0.662-1.753-0.896-1.461-1.035-1.310-0.757-1.909
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1.3920.9480.9731.0381.5260.8311.4931.3350.2590.6851.4451.0800.5821.1111.5561.1480.8610.477-0.4460.014-1.155-0.544-0.681-1.310-0.674-0.2140.480-0.2380.7470.631-0.579-1.019-0.342-0.8500.171-0.3080.326-0.1400.061-0.443-1.816-1.950-1.911-1.294-1.140-0.767
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X
Y
Z′
X
Y
Z′
X
Y
Z′
1.1611.2761.3221.0991.0361.2751.4891.6191.3621.5081.5611.5471.5821.6331.6381.5031.6371.6341.3831.5641.4101.6141.6261.4431.5991.5191.4471.4001.5321.4681.3691.626
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1.3051.1141.1671.2611.1821.2231.4851.5621.5941.6181.5431.4681.6141.3861.6081.4281.5721.5261.5191.4481.4881.6141.4981.6061.5791.6181.3651.5111.3521.6011.5441.426
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1.1261.0861.1581.2881.0661.0331.4081.5531.5951.5991.4281.5011.4721.3861.5991.5861.4671.5411.3431.5591.3461.5231.4901.5741.4481.4081.5251.5061.5941.4781.5821.589
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0.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.8970.897
X
Y
Z′
X
Y
Z′
X
Y
Z′
-0.744-1.208-1.027-1.082-1.125-0.871-1.319-1.399-1.349-1.396-0.721
1.6101.5951.2311.6351.2331.2121.5231.3671.4911.3901.166
0.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.931
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1.3961.5081.2691.3741.6161.2711.5941.6541.3301.6701.476
0.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.966
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1.5861.2931.3641.6581.6791.3071.3181.4391.2781.6381.347
1.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.000
X
Y
Z′
X
Y
Z′
X
Y
Z′
-0.795-1.256-1.285-1.360-1.400-1.248-1.319-0.878-1.341-1.370-1.398-1.223-1.386-1.125-0.811-1.288-1.015-1.387-1.394-1.167-0.946-0.948-1.3750.131-0.442-0.211-0.037-0.095-0.577-0.6780.054-0.493-0.160-0.552-0.155-0.649-0.380-0.217-0.614-0.3490.119-0.282-0.320-0.419-0.085-0.014
1.1921.2291.5511.2471.3451.5751.2321.6401.2381.4601.3221.2301.4261.6251.6281.2291.6441.2781.3001.6121.6461.2251.2610.8460.9950.7611.0671.1351.0921.5870.3821.4910.6981.5271.2011.1320.9401.2651.5591.3850.2721.3270.8831.4400.5950.489
0.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.931
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1.2651.2961.5681.6411.6481.2721.6661.6641.2141.2741.2851.5381.2371.4401.6191.3521.2781.6591.6691.2541.3111.4191.2721.1841.6341.4871.5260.6040.3911.1340.8321.5920.7700.8921.0540.9501.0050.7071.3580.8331.1050.9451.4251.2860.4990.281
0.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.966
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1.6631.5581.6731.3111.2571.6371.3841.3021.6851.6151.6921.6901.6961.3141.3251.4931.4661.5271.2291.1961.6961.4111.3341.4691.1580.9190.9231.1951.5271.2681.4061.6050.9880.7121.0490.2881.0430.8550.5051.3390.6100.3971.1200.7851.1060.791
1.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.000
X Y Z′ X Y Z′ X Y Z′
-0.2640.050-0.5080.2300.2100.5440.4410.8560.7420.4630.6280.7390.8450.9730.9490.5470.2850.6990.8890.3760.3370.9310.6290.7821.0841.2121.0181.0951.3261.1481.2261.0491.3051.2701.2641.0561.1861.0071.1411.5661.4331.5391.5741.5801.4571.408
0.8230.9581.0460.0730.732-0.536-0.332-1.151-0.9280.3120.000-0.226-0.455-1.373-0.6850.1570.616-0.844-0.5520.465-0.129-1.294-0.704-1.008-0.997-1.299-1.456-1.600-2.025-1.148-1.841-0.916-1.522-1.439-1.911-1.527-1.768-0.818-1.684-2.271-1.837-2.293-2.256-2.223-2.270-2.178
0.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.931
-0.651-0.596-0.513-0.1710.8310.6170.7260.7860.5370.8710.6870.2020.9340.2790.9490.8410.4530.3710.2870.6160.4540.2050.5340.6640.7350.3681.0431.0001.3051.0681.2531.1221.3181.2871.1321.2010.9951.1951.0331.2441.4371.5441.3711.5341.5601.406
1.1481.5611.0571.212-0.463-0.695-0.236-0.3650.145-0.551-0.8380.122-0.6920.602-1.356-1.146-0.365-0.202-0.039-0.0110.2990.718-0.528-0.109-0.9360.452-1.534-1.453-2.023-1.002-1.441-1.682-1.600-1.524-1.153-1.829-0.833-1.304-0.922-1.909-2.269-2.168-1.731-2.281-2.220-2.215
0.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.966
-0.5880.2750.3590.3890.7570.1900.6070.8970.5210.6720.8800.6010.7520.4640.8540.4400.7150.9360.8240.9740.9800.3120.2310.9200.5360.8190.7141.1871.0451.1001.1751.0181.0141.2831.1561.2771.2351.0561.3081.2221.1151.3531.5351.3651.5261.397
1.568-0.032-0.1950.393-0.3320.129-0.019-1.286-0.521-0.831-0.605-0.686-0.9950.257-0.546-0.358-0.243-1.363-1.141-0.819-1.4490.5280.660-0.6960.120-0.468-0.918-1.841-1.573-1.678-1.296-0.924-1.514-2.019-1.783-1.542-1.441-1.011-1.619-1.905-1.153-1.728-2.246-2.172-2.261-1.838
1.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.000
X
Y
Z′
X
Y
Z′
X
Y
Z′
1.5341.4271.5791.4701.5211.5031.4851.3471.3871.5061.4461.4731.5701.5761.5631.3901.554
-2.097-2.216-2.240-2.284-2.298-2.298-2.293-1.624-2.140-2.023-2.254-1.940-2.188-2.206-2.170-1.730-2.284
0.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.9310.931
1.4831.4501.5601.4261.5021.5521.4871.5161.4241.5571.3671.3871.5191.4651.5461.4541.555
-2.295-2.282-2.237-2.252-2.295-2.186-2.022-2.095-1.863-2.203-2.139-2.177-2.290-2.291-2.268-1.939-2.254
0.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.9660.966
1.3451.5001.5251.3861.4821.4461.4681.5401.4961.4641.4271.4171.5401.5141.4061.4301.535
-2.134-2.283-2.162-2.210-2.288-2.285-2.017-2.208-2.090-2.289-1.916-2.263-2.230-2.273-2.247-2.276-2.185
1.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.000
9.如权利要求8所述的涡轮机,其特征为,涡轮叶轮包括一个第二级涡轮。
10.一种涡轮(10),它包括具有多个叶片(22)的涡轮叶轮(16),每一个所述叶片具有基本上按照表1列出的X,Y和Z笛卡几坐标值的没有涂层的名义翼面轮廓,其中,Z为沿着与涡轮回转轴线半径方向一致的叶片中心线的无因次值,通过将Z值乘以翼面高度,并将其乘积与叶片的根部半径相加,可将该无因次值转换为以英寸表示的Z距离;其中,X和Y为确定在每一个距离Z处的翼面轮廓的以英寸表示的距离,在Z距离处的轮廓互相平滑地连接,形成一个完整的翼面形状;X和Y距离可作为同一个常数或数字的函数按比例改变,形成比例放大或缩小的叶片翼面,其中:
表1
X
Y
Z′
X
Y
Z′
X
Y
Z′
-1.672-1.429-1.614-1.734-1.725-1.631-1.485-1.496-1.731-1.693-1.518-1.357-1.557-1.734-1.453-1.692-1.273
0.1750.9080.1520.2780.3780.6120.1340.8250.3440.4800.1370.9870.7370.3110.1300.1880.113
0.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.000
-1.522-1.268-1.684-1.406-1.722-1.538-1.597-1.722-1.664-1.475-1.615-1.711-1.678-1.358-1.718-1.485-1.632
0.1730.1410.2290.9360.3520.7710.1880.3190.2150.8550.6480.4180.5190.1510.3850.1670.199
0.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.035
-1.697-1.477-1.701-1.351-1.561-1.589-1.705-1.663-1.599-1.520-1.420-1.515-1.472-1.707-1.710-1.690-1.709
0.4580.2010.3100.1820.7450.2250.4250.5570.6840.8030.9250.2080.8650.3340.3600.2880.392
0.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.069
X
Y
Z′
X
Y
Z′
X
Y
Z′
-1.664-1.644-1.721-1.582-1.730-1.596-1.716-1.298-1.709-1.550-1.059-0.960-1.033-0.885-0.952-1.172-0.818-1.104-0.809-1.237-1.166-0.554-0.025-0.649-0.2500.062-0.426-0.098-0.685-0.177-0.300-0.056-0.408-0.1730.132-0.488-0.329-0.7300.046-0.5680.7460.5281.0290.4500.6380.301
0.5470.1610.2280.1460.2520.6750.4111.0440.2060.1410.0871.2651.2321.2930.0691.1470.0411.1921.3141.0970.101-0.0341.1361.3331.256-0.326-0.0811.1810.007-0.193-0.134-0.2571.3071.2211.0241.3231.2851.3271.0891.331-0.844-0.659-1.1120.730-0.750-0.485
0.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.000
-1.271-1.711-1.447-1.648-1.578-1.702-1.331-1.718-1.560-1.700-1.207-0.850-1.054-0.999-0.813-1.141-1.161-0.947-0.926-1.071-0.680-0.145-0.299-0.296-0.071-0.615-0.054-0.773-0.422-0.2210.0010.1560.070-0.535-0.695-0.3760.064-0.174-0.550-0.4550.8860.2380.3010.4690.4150.184
1.0650.2690.1620.5840.7100.4511.0110.2940.1790.2471.1141.2890.1121.2370.0661.1600.1270.0941.2661.2010.0311.1971.263-0.1091.1571.319-0.2321.306-0.0561.2331.1131.0011.0651.3151.3161.286-0.302-0.168-0.0101.304-0.9580.932-0.4620.708-0.548-0.379
0.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.035
-1.440-1.307-1.261-1.365-1.688-1.623-1.552-1.633-1.674-1.656-0.895-1.180-0.941-0.807-1.101-0.819-1.112-1.042-0.969-1.245-0.5050.175-0.050-0.349-0.273-0.544-0.291-0.5850.066-0.742-0.664-0.196-0.4160.023-0.170-0.427-0.6740.091-0.121-0.0480.7070.4840.3350.1850.3020.912
0.1951.0340.1700.9810.4900.2380.2160.6220.2700.2551.2681.1320.1200.0910.1481.2881.1741.2111.2431.0851.3020.982-0.2081.2701.2450.016-0.0841.308-0.2781.3011.3081.214-0.0311.094-0.1431.2890.0571.0461.1781.1380.4290.6910.842-0.357-0.4400.152
0.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.069
X
Y
Z′
X
Y
Z′
X
Y
Z′
0.6821.0960.4160.2970.1830.3750.8890.5680.8960.2160.7910.9981.2591.3051.5331.4151.3601.5211.6211.5761.2981.1911.4271.4811.1651.9791.8982.0872.0572.1031.9341.9062.0051.8812.0972.1052.0781.9161.7181.9972.1022.0731.8352.0402.0512.065
0.466-0.105-0.5700.883-0.4040.808-0.9760.6000.1860.9550.3270.042-0.365-0.442-1.663-0.633-0.535-0.826-1.022-0.932-1.394-0.253-1.540-0.752-1.252-2.217-2.139-2.182-2.210-2.145-2.187-1.636-2.222-2.113-2.164-2.124-2.042-2.164-1.220-1.851-2.104-2.198-2.047-2.217-1.979-2.010
0.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.000
0.9050.7441.1000.5270.6370.6961.0251.0040.5850.8020.3950.3181.2911.5711.6121.5141.1591.4651.4111.1931.5231.4191.3041.3661.6252.0392.0461.8941.9682.0592.0681.7241.9221.8662.0821.8801.6661.9861.7702.0332.0721.9081.8201.8802.0852.084
0.167-0.825-0.122-0.638-0.7300.445-1.0960.0240.5790.3080.7850.860-1.381-0.951-1.034-0.840-1.237-0.747-0.648-0.270-1.653-1.528-0.458-0.567-1.780-2.210-2.014-2.149-2.219-2.045-2.184-1.910-2.187-2.108-2.107-2.128-1.144-2.222-1.368-1.982-2.077-2.169-1.479-1.617-2.127-2.147
0.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.035
0.7410.8821.0090.5270.4110.2571.0190.6350.4150.5981.1020.8111.3471.1921.6021.4621.4091.2831.1531.4931.3011.5501.5051.5621.4051.8652.0592.0651.9861.9202.0491.8512.0262.0391.9511.9352.0621.8661.7102.0661.9681.9632.0141.7421.8791.906
-0.808-0.9430.009-0.6190.7670.913-1.082-0.712-0.5280.562-0.1370.292-0.553-0.284-1.044-0.768-1.519-1.371-1.225-1.622-0.471-0.940-0.851-1.709-0.660-2.124-2.167-2.149-2.221-2.200-2.185-2.103-2.016-2.048-2.218-2.211-2.109-1.628-1.904-2.129-2.221-1.860-1.985-1.345-2.144-2.184
0.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.069
X
Y
Z′
X
Y
Z′
X
Y
Z′
1.8341.8772.0231.9551.6371.7871.7381.7722.0921.6731.944
-1.471-1.570-2.221-2.205-1.789-1.981-1.916-1.336-2.073-1.126-1.724
0.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.000
1.9281.9371.7072.0782.0222.0042.0541.8201.7721.9521.981
-1.730-2.203-1.231-2.166-2.218-2.221-2.199-2.041-1.975-2.212-1.856
0.0350.0350.0350.0350.0350.0350.0350.0350.0350.0350.035
1.8921.6521.7811.6942.0521.6452.0032.0361.9111.8052.020
-2.164-1.150-2.003-1.239-2.079-1.817-2.218-2.200-1.735-1.486-2.211
0.0690.0690.0690.0690.0690.0690.0690.0690.0690.0690.069
X
Y
Z′
X
Y
Z′
X
Y
Z′
-1.155-1.506-1.221-1.698-1.503-0.792-1.649-1.094-1.579-1.618-1.453-1.015-1.583-1.432-1.343-1.469-0.814-1.086-1.543-1.664-1.400-1.344-1.614-0.867-1.689-1.675-1.679-0.942-1.285-1.697-1.545-0.934
1.1490.2441.1060.4000.8361.2890.5940.1780.2630.6580.8961.2220.7190.2300.2150.2370.1221.1880.2530.3100.9531.0070.2771.2730.3500.5280.3281.2511.0580.4320.7790.149
0.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.103
-1.635-1.662-1.679-1.653-1.324-1.668-1.686-1.435-1.459-1.683-1.569-1.422-1.678-1.604-1.333-1.684-1.264-1.636-1.603-1.486-1.568-1.529-1.496-1.533-1.381-1.671-0.917-1.132-1.244-0.842-0.926-0.806
0.3340.5660.5030.3491.0330.3680.4390.9260.2730.4140.3020.2660.3900.6940.2500.4711.0820.6310.3160.8680.7540.8120.2820.2910.9820.5351.2601.1680.2361.2790.1790.151
0.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.138
-1.304-1.485-1.671-1.418-1.665-1.623-1.641-1.659-1.622-1.592-1.553-1.322-1.522-1.667-1.513-1.655-1.469-1.411-1.672-1.558-1.673-1.448-1.590-1.649-1.363-0.893-0.916-1.243-1.178-0.796-1.040-1.074
1.0600.3200.4530.9570.4290.3730.3880.5730.6680.3550.7890.2870.3290.5410.8460.4070.9000.3040.5100.3410.4780.3120.7300.6041.0101.2710.2111.1061.1490.1821.2200.244
0.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.172
X
Y
Z′
X
Y
Z′
X
Y
Z′
-1.695-1.692-1.253-1.646-1.684-0.029-0.402-0.250-0.350-0.578-0.136-0.325-0.637-0.100-0.1740.0410.069-0.715-0.695-0.4630.109-0.242-0.558-0.480-0.0321.1010.5250.7151.0120.6330.8770.3030.8181.0100.4240.4150.2720.7380.6080.9160.4961.1440.1880.3490.1921.390
0.3740.4650.2020.2950.4971.1221.2771.231-0.0310.055-0.1351.2571.3031.1631.1991.078-0.2561.2990.0910.0141.031-0.0811.3011.292-0.193-0.149-0.6020.415-1.071-0.697-0.931-0.4210.278-0.0040.753-0.5100.898-0.7940.5480.1380.676-1.216-0.3360.8270.966-0.657
0.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.1030.103
-1.062-0.991-1.085-1.199-0.380-0.767-0.082-0.155-0.535-0.0280.073-0.236-0.230-0.131-0.690-0.457-0.6870.124-0.456-0.613-0.570-0.304-0.012-0.3440.0571.1341.0100.4150.5050.5240.8700.1900.7210.3610.9181.0990.3040.4340.2060.6290.8220.7331.0040.6160.2851.241
1.2041.2340.2101.1271.2691.2921.1501.1871.296-0.172-0.236-0.0571.220-0.1121.3001.2850.1191.0180.0401.3010.0821.2471.110-0.0061.065-1.209-0.015-0.4940.665-0.588-0.921-0.3170.4030.8150.127-0.160-0.4040.7410.954-0.6840.267-0.783-1.0630.5360.886-0.406
0.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.1380.138
-0.819-1.234-1.110-0.968-0.125-0.591-0.436-0.678-0.562-0.513-0.4480.0540.137-0.212-0.031-0.023-0.360-0.2300.076-0.667-0.120-0.337-0.285-0.7430.9940.6250.7261.0951.1220.5130.1920.3050.7270.3710.8240.8620.2180.2950.9181.0090.4430.5210.6220.4141.5381.247
1.2870.2721.1871.248-0.0901.3021.2820.1480.1101.2950.0671.0671.0081.2121.121-0.1511.264-0.034-0.2171.3031.1700.0191.2401.298-1.058-0.6740.393-0.169-1.2050.655-0.300-0.388-0.7740.8050.257-0.9140.9440.8760.117-0.0250.731-0.5760.526-0.480-1.020-1.355
0.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.1720.172
X
Y
Z′
X
Y
Z′
X
Y
Z′
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Applications Claiming Priority (3)
Application Number | Priority Date | Filing Date | Title |
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US10/244,562 US6685434B1 (en) | 2002-09-17 | 2002-09-17 | Second stage turbine bucket airfoil |
US10/244562 | 2002-09-17 | ||
US10/244,562 | 2002-09-17 |
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CN1495337A CN1495337A (zh) | 2004-05-12 |
CN100350131C true CN100350131C (zh) | 2007-11-21 |
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CNB031586139A Expired - Fee Related CN100350131C (zh) | 2002-09-17 | 2003-09-17 | 第二级涡轮叶片的翼面 |
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US (1) | US6685434B1 (zh) |
EP (1) | EP1400656A3 (zh) |
JP (1) | JP2004108366A (zh) |
KR (1) | KR100814166B1 (zh) |
CN (1) | CN100350131C (zh) |
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US6769878B1 (en) * | 2003-05-09 | 2004-08-03 | Power Systems Mfg. Llc | Turbine blade airfoil |
US6736599B1 (en) * | 2003-05-14 | 2004-05-18 | General Electric Company | First stage turbine nozzle airfoil |
US6854961B2 (en) * | 2003-05-29 | 2005-02-15 | General Electric Company | Airfoil shape for a turbine bucket |
US6808368B1 (en) * | 2003-06-13 | 2004-10-26 | General Electric Company | Airfoil shape for a turbine bucket |
US6769879B1 (en) * | 2003-07-11 | 2004-08-03 | General Electric Company | Airfoil shape for a turbine bucket |
US6866477B2 (en) * | 2003-07-31 | 2005-03-15 | General Electric Company | Airfoil shape for a turbine nozzle |
US6857855B1 (en) * | 2003-08-04 | 2005-02-22 | General Electric Company | Airfoil shape for a turbine bucket |
US7063509B2 (en) * | 2003-09-05 | 2006-06-20 | General Electric Company | Conical tip shroud fillet for a turbine bucket |
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- 2003-09-16 EP EP03255774A patent/EP1400656A3/en not_active Withdrawn
- 2003-09-16 KR KR1020030064025A patent/KR100814166B1/ko not_active IP Right Cessation
- 2003-09-17 CN CNB031586139A patent/CN100350131C/zh not_active Expired - Fee Related
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Also Published As
Publication number | Publication date |
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US6685434B1 (en) | 2004-02-03 |
CN1495337A (zh) | 2004-05-12 |
EP1400656A2 (en) | 2004-03-24 |
JP2004108366A (ja) | 2004-04-08 |
KR100814166B1 (ko) | 2008-03-14 |
EP1400656A3 (en) | 2006-01-04 |
KR20040025589A (ko) | 2004-03-24 |
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