CN1584296A - 用于透平叶片的翼面形状 - Google Patents
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- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F01—MACHINES OR ENGINES IN GENERAL; ENGINE PLANTS IN GENERAL; STEAM ENGINES
- F01D—NON-POSITIVE DISPLACEMENT MACHINES OR ENGINES, e.g. STEAM TURBINES
- F01D5/00—Blades; Blade-carrying members; Heating, heat-insulating, cooling or antivibration means on the blades or the members
- F01D5/12—Blades
- F01D5/14—Form or construction
- F01D5/18—Hollow blades, i.e. blades with cooling or heating channels or cavities; Heating, heat-insulating or cooling means on blades
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- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F01—MACHINES OR ENGINES IN GENERAL; ENGINE PLANTS IN GENERAL; STEAM ENGINES
- F01D—NON-POSITIVE DISPLACEMENT MACHINES OR ENGINES, e.g. STEAM TURBINES
- F01D5/00—Blades; Blade-carrying members; Heating, heat-insulating, cooling or antivibration means on the blades or the members
- F01D5/12—Blades
- F01D5/14—Form or construction
- F01D5/141—Shape, i.e. outer, aerodynamic form
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- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F01—MACHINES OR ENGINES IN GENERAL; ENGINE PLANTS IN GENERAL; STEAM ENGINES
- F01D—NON-POSITIVE DISPLACEMENT MACHINES OR ENGINES, e.g. STEAM TURBINES
- F01D5/00—Blades; Blade-carrying members; Heating, heat-insulating, cooling or antivibration means on the blades or the members
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- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F05—INDEXING SCHEMES RELATING TO ENGINES OR PUMPS IN VARIOUS SUBCLASSES OF CLASSES F01-F04
- F05D—INDEXING SCHEME FOR ASPECTS RELATING TO NON-POSITIVE-DISPLACEMENT MACHINES OR ENGINES, GAS-TURBINES OR JET-PROPULSION PLANTS
- F05D2250/00—Geometry
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- Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
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- Y10S—TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
- Y10S416/00—Fluid reaction surfaces, i.e. impellers
- Y10S416/02—Formulas of curves
Abstract
本发明公开一种用于透平叶片的翼面形状，第四级透平叶片(28)具有与表I中列出的X、Y和Z笛卡儿坐标值基本上一致的翼面轮廓，其中X和Y值以英寸为单位，Z值是从0到1的无量纲值，通过将Z值乘以以英寸为单位的翼面高度，可以将Z值换算成以英寸为单位的Z长度。X和Y值是长度，当将其用平滑连续的弧连接时，在每个长度Z处形成翼面轮廓截面(48)。将在每个长度Z处的轮廓截面彼此平滑地连接，则形成完整的翼面形状。X和Y长度可以作为相同常数或数值的函数按比例变化，从而提供用于叶片的按比例扩大或缩小的翼面截面。由X、Y和Z长度给出的标称翼面处于一个在垂直于翼面表面的方向上±0.150英寸的包络中。
Description
技术领域
本发明涉及一种用于燃气透平的一级叶片的翼面，并且特别涉及第四级透平叶片翼面轮廓。
背景技术
为了满足包括总体改善效率和翼面负荷的设计目标，对于燃气透平的热气通道部分的每一级来说，必须满足许多系统要求。特别是，透平部分的第四级的叶片必须满足该特定级的操作要求，而且能够高效制造。
发明内容
根据本发明的一个优选实施方式，提了一种用于燃气透平叶片，优选地是第四级叶片的独特翼面形状，其提高了燃气透平的性能。其翼面形状改善了空气动力效率和第四级翼面空气动力和机械负载。叶片翼面轮廓由多个点的独特轨迹确定，以达到所需的效率和负载要求，由此获得经改善的透平性能。这些点的独特轨迹形成了标称翼面轮廓，并由下面表I中的X、Y和Z笛卡儿坐标所确定。在表I中示出的坐标值的点相对于透平中心线并对应于沿其长度各横截面处的低温即室温叶片翼面。正的X、Y和Z方向分别为朝向透平排气端向后看轴向平行于透平转子中心线、向后看沿发动机旋转方向呈切向以及朝向叶片顶端径向向外。X和Y的坐标以长度单位给出，例如以英寸为单位，并在每个Z位置处平滑地连接起来以形成一个平滑、连续的翼面横截面。Z坐标以无量纲形式从0到1给出。通过将翼面高度尺寸，例如以英寸表示，乘以表I中的无量纲的Z值，就可以获得叶片的翼面形状，即轮廓。将在X-Y平面中限定的每个翼面截面与Z方向上相邻的翼面截面平滑地连接起来，从而形成一个完整的翼面形状。
应理解，在应用中当每个叶片翼面升温时，由于应力和温度轮廓会发生变化。因此，低温或室温轮廓由X、Y和Z坐标给出而用于制造目的。由于制造的叶片翼面轮廓可能不同于下面表中给出的标称翼面轮廓，所以在垂直于沿标称轮廓任何表面位置的方向上、距标称轮廓正或负0.150英寸的长度确定了用于这种叶片翼面的轮廓包络，其中正或负0.150英寸的长度包括任何涂层处理。该翼面形状足以承受这种变化，而不会损害叶片的机械和空气动力性能。
还应当理解，该翼面可以按几何比例扩大或缩小，从而能用于类似的透平设计。因此，下面给出的标称翼面轮廓的以英寸表示的X和Y坐标可以是相同常数或数值的函数。也就是说，以英寸表示的X和Y坐标值可以乘以或除以相同的常数或数值，以便在保持翼面截面形状的同时获得该叶片翼面轮廓的按比例扩大或缩小的版本。类似地，当换算成英寸时，Z坐标值可以保持不变或与X和Y坐标值乘以相同或不同的数值，从而具有可量侧性。
在根据本发明的一个优选实施例中，提供了一种透平叶片，该叶片包括具有一种翼面形状的叶片翼面，该翼面具有基本上与表I中列出的X、Y和Z笛卡儿坐标值相对应的标称轮廓，其中Z值是从0到1的无量纲值，可通过使Z值乘以以英寸表示的翼面高度而换算成以英寸表示的Z距离，且其中X和Y是以英寸表示的距离，当由平滑连续的弧连接时，它们在每个距离Z处形成翼面轮廓截面，将在各Z距离处的轮廓截面彼此平滑地连接，从而形成一个完整的翼面形状。
在根据本发明的另一优选实施例中，提供了一种透平叶片，包括一叶片翼面，该叶片翼面具有基本上按照表I中列出的X、Y和Z笛卡儿坐标值的未涂敷标称翼面轮廓，其中Z值是从0到1的无量纲值，可通过使Z值乘以以英寸表示的翼面高度而换算成以英寸表示的Z距离，且其中X和Y是以英寸表示的距离，当由平滑连续的弧连接时，它们限定了在每个Z距离处的翼面轮廓截面，将各Z距离处的轮廓截面彼此平滑地连接以形成一个完整的翼面形状，X和Y值可作为相同常数或数值的函数改变比例以提供按比例扩大或缩小的翼面。
在根据本发明的另一优选实施方式中，提供了一种透平，包括具有多个叶片的透平叶轮，每个所述叶片包括具有一翼面形状的翼面，该翼面具有基本上按照表I中列出的X、Y和Z笛卡儿坐标值的标称轮廓，其中Z值是从0到1的无量纲值，可通过使Z值乘以以英寸表示的翼面高度而换算成以英寸表示的Z距离，且其中X和Y是以英寸表示的距离，当通过平滑连续的弧进行连接时，它们限定了每个距离Z处的翼面轮廓截面，将在各Z距离处的各轮廓截面彼此平滑地连接以形成一个完整的翼面形状。
在根据本发明的另一优选实施方式中，提供了一种透平，包括具有多个叶片的透平叶轮，每个所述叶片包括一翼面，具有基本上按照表I中列出的X、Y和Z笛卡儿坐标值的未涂敷标称轮廓，其中Z值是从0到1的无量纲值，可通过使Z值乘以以英寸表示的翼面高度而换算成以英寸表示的Z距离，且其中X和Y是以英寸表示的距离，当由平滑连续的弧连接时，它们限定了在每个距离Z处的翼面轮廓截面，将各Z距离处的轮廓截面彼此平滑地连接以形成一个完整的翼面形状，X和Y距离可作为相同常数或数值的函数改变比例以提供按比例扩大或缩小的叶片翼面。
附图说明
图1是穿过燃气透平的多个级的热气通道的示意图，并示出根据本发明的一种优选实施方式的第四级叶片翼面；
图2是从顶罩径向向内所观察到的叶片的视图；
图3和图4是从180度相对角所观察到的其叶片的透视图；
图5是从叶片翼面的吸入侧所观察到的叶片的侧视立面图；
图6是从叶片翼面的压力侧和后缘侧所观察到的叶片的透视图；
图7和图8分别是从叶片翼面的后缘和前缘所观察到的叶片的相应端视立面图；以及
图9是叶片翼面的轮廓截面的示意图。
具体实施方式
参照附图，尤其是图1，其示出了包括多个透平级(turbine stage)的燃气透平12的热气通道10。有四级被示出。例如，第一级包括多个周向间隔开的喷嘴14和叶片(bucket)16。各喷嘴彼此周向间隔开并围绕转子的轴线固定。当然，第一级各叶片16安装在透平转子叶轮17上。还示出了透平12的第二级，包括多个周向间隔开的喷嘴18和安装在透平转子叶轮19上的多个周向间隔开的叶片20。第三级包括多个周向间隔开的喷嘴22和安装在透平转子叶轮25上的叶片24。第四级包括多个周向间隔开的喷嘴26和安装在透平转子叶轮29上的叶片28。应理解，喷嘴和叶片位于透平的热气通道10中，通过热气通道10的热气流的方向由箭头30指示。叶片、透平叶轮和辅助零件构成透平转子32。
应当理解，叶片，例如第四级的叶片28，安装到构成转子32一部分的相关的转子叶轮例如叶轮29上。每个叶片，包括第四级叶片28，设置有偏轴或斜置的轴向进入楔形榫34(图3和图4)，用于与相关叶轮上的形状互补配合楔形榫，未示出，相连接。当然，叶片可以具有轴向进入楔形榫。还应当理解，每个叶片28具有一叶片翼面36、平台38和端部40，如图2-4所示。因此，每个叶片，例如叶片28，在从叶片根部42到与翼面形状的端罩46相邻的叶片顶部44的任意横截面处具有叶片翼面轮廓截面48，在图9中示出其一个代表性实例。在第四级透平叶片的该优选实施方式中，有八十八(88)个叶片。
为了确定每个第四级叶片翼面36的翼面形状，空间中存在有独特的一组点或点的轨迹，其满足该级的需要并使翼面能够被制造出来。各点的这种独特轨迹满足级效率的要求，并且通过空气动力和机械负载之间的迭代法得到，使得透平能够以高效、安全和平稳的方式运转。限定叶片翼面轮廓的轨迹包括相对于透平转动轴线的一组点。在下面表I中给出的X、Y和Z值的笛卡儿坐标系限定了沿着其长度各位置上的叶片翼面的轮廓。X和Y坐标的坐标值在表I中以英寸为单位，尽管当将这些值作适当换算时可以使用其它长度单位。Z值在表I中以无量纲形式从0到1列出。为了将Z值换算成Z坐标值，例如以英寸为单位，可将表中给出的无量纲Z值乘以以英寸表示的翼面的高度。笛卡儿坐标系具有正交关系的X、Y和Z轴，而X轴平行于透平转子中心线即转轴，正的X坐标值轴向朝向后部，即透平的排气端。从后面看正的Y坐标值沿转子旋转方向切向延伸，以及正的Z坐标值径向向外朝向叶片顶部。
通过确定在垂直于X-Y平面的Z方向上的选定位置处的X和Y的坐标值，就可以确定出沿翼面长度每个Z距离处的叶片翼面的轮廓截面，例如示出在图9中的典型轮廓截面48。通过用平滑连续的弧来连接X和Y值，各Z距离处的各轮廓截面48就得以确定。各距离Z之间的各个表面位置的翼面轮廓是通过平滑地连接彼此相邻的轮廓截面48从而形成翼面轮廓来确定的。这些值代表在周围环境、非操作或非受热条件下的翼面轮廓，并用于未涂敷的翼面。
表I中的各数值产生并示出为三个小数位，用于确定翼面的轮廓。在实际的翼面轮廓中必须计及典型的制造公差和涂层。因此，表I中所给出的用于轮廓的数值是用于标称翼面的。从而，应理解，包括任何涂层厚度在内的±典型制造公差，即±值，被加到下面表I中给出的X和Y值中。因此，在垂直于沿翼面轮廓的任意表面位置的方向上的±0.150英寸长度确定了用于该特定叶片翼面设计和透平的翼面轮廓包络面(envelope)，即在标称低温或室温下实际翼面表面上的测量的点与下面表中给出的在相同温度下的那些点的理想位置之间的变化范围。该叶片翼面的设计对于这个波动范围是能够承受的，而不会损害机械性能和空气动力性能。
在下面表I中给出的坐标值提供优选的标称轮廓包络。
表I
X Y Z X Y Z X Y Z
-2.780 -0.063 0.000 -2.661 -0.052 0.045 -2.556 -0.037 0.091
-2.694 -0.126 0.000 -2.577 -0.111 0.045 -2.475 -0.094 0.091
-2.589 -0.152 0.000 -2.476 -0.138 0.045 -2.377 -0.120 0.091
-2.481 -0.162 0.000 -2.373 -0.150 0.045 -2.277 -0.131 0.091
-2.372 -0.165 0.000 -2.268 -0.155 0.045 -2.176 -0.136 0.091
-2.264 -0.163 0.000 -2.164 -0.155 0.045 -2.075 -0.136 0.091
-2.156 -0.157 0.000 -2.059 -0.152 0.045 -1.974 -0.133 0.091
-2.048 -0.150 0.000 -1.955 -0.146 0.045 -1.874 -0.127 0.091
-1.939 -0.141 0.000 -1.851 -0.139 0.045 -1.773 -0.121 0.091
-1.831 -0.132 0.000 -1.747 -0.131 0.045 -1.672 -0.113 0.091
-1.723 -0.122 0.000 -1.642 -0.123 0.045 -1.571 -0.105 0.091
-1.615 -0.113 0.000 -1.538 -0.114 0.045 -1.471 -0.096 0.091
-1.507 -0.103 0.000 -1.434 -0.105 0.045 -1.370 -0.088 0.091
-1.399 -0.095 0.000 -1.330 -0.097 0.045 -1.269 -0.080 0.091
-1.291 -0.087 0.000 -1.226 -0.089 0.045 -1.169 -0.073 0.091
-1.183 -0.080 0.000 -1.121 -0.082 0.045 -1.068 -0.067 0.091
-1.075 -0.074 0.000 -1.017 -0.076 0.045 -0.967 -0.062 0.091
-0.966 -0.069 0.000 -0.913 -0.071 0.045 -0.866 -0.058 0.091
X Y Z X Y Z X Y Z
-0.858 -0.066 0.000 -0.808 -0.068 0.045 -0.765 -0.055 0.091
-0.749 -0.063 0.000 -0.704 -0.065 0.045 -0.664 -0.053 0.091
-0.641 -0.063 0.000 -0.599 -0.064 0.045 -0.563 -0.053 0.091
-0.533 -0.064 0.000 -0.495 -0.065 0.045 -0.462 -0.054 0.091
-0.424 -0.066 0.000 -0.390 -0.067 0.045 -0.361 -0.057 0.091
-0.316 -0.070 0.000 -0.286 -0.071 0.045 -0.260 -0.062 0.091
-0.208 -0.076 0.000 -0.181 -0.076 0.045 -0.160 -0.068 0.091
-0.099 -0.084 0.000 -0.077 -0.083 0.045 -0.059 -0.076 0.091
0.009 -0.093 0.000 0.027 -0.092 0.045 0.042 -0.085 0.091
0.117 -0.104 0.000 0.131 -0.103 0.045 0.142 -0.097 0.091
0.224 -0.117 0.000 0.235 -0.115 0.045 0.242 -0.109 0.091
0.332 -0.132 0.000 0.338 -0.129 0.045 0.342 -0.124 0.091
0.439 -0.148 0.000 0.442 -0.145 0.045 0.442 -0.140 0.091
0.546 -0.166 0.000 0.545 -0.162 0.045 0.541 -0.158 0.091
0.653 -0.186 0.000 0.647 -0.181 0.045 0.640 -0.177 0.091
0.759 -0.207 0.000 0.750 -0.202 0.045 0.739 -0.198 0.091
0.865 -0.231 0.000 0.852 -0.224 0.045 0.838 -0.221 0.091
0.970 -0.256 0.000 0.954 -0.249 0.045 0.936 -0.245 0.091
1.075 -0.282 0.000 1.055 -0.274 0.045 1.033 -0.271 0.091
X Y Z X Y Z X Y Z
1.180 -0.310 0.000 1.156 -0.302 0.045 1.131 -0.298 0.091
1.284 -0.340 0.000 1.256 -0.331 0.045 1.227 -0.327 0.091
1.388 -0.372 0.000 1.356 -0.361 0.045 1.324 -0.357 0.091
1.491 -0.405 0.000 1.456 -0.393 0.045 1.419 -0.389 0.091
1.594 -0.440 0.000 1.554 -0.427 0.045 1.515 -0.422 0.091
1.696 -0.476 0.000 1.653 -0.462 0.045 1.610 -0.457 0.091
1.798 -0.514 0.000 1.751 -0.499 0.045 1.704 -0.494 0.091
1.899 -0.554 0.000 1.848 -0.538 0.045 1.797 -0.531 0.091
1.999 -0.595 0.000 1.944 -0.577 0.045 1.891 -0.571 0.091
2.099 -0.638 0.000 2.040 -0.619 0.045 1.983 -0.611 0.091
2.198 -0.682 0.000 2.136 -0.662 0.045 2.075 -0.653 0.091
2.296 -0.728 0.000 2.230 -0.706 0.045 2.166 -0.697 0.091
2.393 -0.775 0.000 2.324 -0.753 0.045 2.256 -0.742 0.091
2.490 -0.825 0.000 2.417 -0.800 0.045 2.346 -0.789 0.091
2.586 -0.875 0.000 2.509 -0.850 0.045 2.434 -0.837 0.091
2.681 -0.928 0.000 2.600 -0.901 0.045 2.522 -0.887 0.091
2.775 -0.982 0.000 2.690 -0.954 0.045 2.609 -0.939 0.091
2.867 -1.038 0.000 2.779 -1.008 0.045 2.694 -0.993 0.091
2.959 -1.096 0.000 2.867 -1.065 0.045 2.779 -1.048 0.091
X Y Z X Y Z X Y Z
3.050 -1.156 0.000 2.954 -1.123 0.045 2.862 -1.105 0.091
3.144 -1.206 0.000 3.045 -1.171 0.045 2.950 -1.150 0.091
3.202 -1.130 0.000 3.098 -1.096 0.045 2.998 -1.076 0.091
3.131 -1.050 0.000 3.029 -1.020 0.045 2.929 -1.004 0.091
3.052 -0.976 0.000 2.952 -0.949 0.045 2.855 -0.935 0.091
2.972 -0.903 0.000 2.875 -0.879 0.045 2.780 -0.867 0.091
2.891 -0.830 0.000 2.797 -0.808 0.045 2.705 -0.799 0.091
2.811 -0.758 0.000 2.720 -0.738 0.045 2.630 -0.732 0.091
2.729 -0.686 0.000 2.641 -0.669 0.045 2.555 -0.664 0.091
2.647 -0.615 0.000 2.563 -0.600 0.045 2.479 -0.598 0.091
2.564 -0.545 0.000 2.483 -0.533 0.045 2.403 -0.532 0.091
2.480 -0.476 0.000 2.403 -0.466 0.045 2.325 -0.466 0.091
2.396 -0.409 0.000 2.322 -0.400 0.045 2.248 -0.402 0.091
2.309 -0.343 0.000 2.239 -0.335 0.045 2.169 -0.339 0.091
2.222 -0.278 0.000 2.156 -0.272 0.045 2.089 -0.277 0.091
2.134 -0.216 0.000 2.072 -0.210 0.045 2.008 -0.216 0.091
2.044 -0.155 0.000 1.986 -0.150 0.045 1.927 -0.157 0.091
1.953 -0.096 0.000 1.900 -0.092 0.045 1.844 -0.099 0.091
1.861 -0.038 0.000 1.812 -0.035 0.045 1.760 -0.043 0.091
X Y Z X Y Z X Y Z
1.768 0.017 0.000 1.723 0.019 0.045 1.675 0.011 0.091
1.673 0.070 0.000 1.632 0.072 0.045 1.588 0.063 0.091
1.577 0.120 0.000 1.541 0.122 0.045 1.500 0.113 0.091
1.480 0.169 0.000 1.448 0.170 0.045 1.412 0.161 0.091
1.382 0.215 0.000 1.354 0.216 0.045 1.322 0.207 0.091
1.283 0.259 0.000 1.259 0.260 0.045 1.231 0.251 0.091
1.183 0.300 0.000 1.163 0.301 0.045 1.139 0.293 0.091
1.082 0.340 0.000 1.066 0.340 0.045 1.046 0.332 0.091
0.980 0.377 0.000 0.968 0.377 0.045 0.952 0.370 0.091
0.877 0.411 0.000 0.870 0.412 0.045 0.857 0.404 0.091
0.774 0.444 0.000 0.770 0.444 0.045 0.761 0.437 0.091
0.669 0.474 0.000 0.670 0.474 0.045 0.665 0.467 0.091
0.565 0.502 0.000 0.569 0.501 0.045 0.568 0.495 0.091
0.459 0.528 0.000 0.468 0.526 0.045 0.470 0.521 0.091
0.353 0.551 0.000 0.366 0.549 0.045 0.372 0.544 0.091
0.247 0.572 0.000 0.263 0.569 0.045 0.273 0.564 0.091
0.140 0.591 0.000 0.161 0.587 0.045 0.174 0.583 0.091
0.033 0.607 0.000 0.057 0.603 0.045 0.074 0.599 0.091
-0.075 0.621 0.000 -0.047 0.616 0.045 -0.026 0.612 0.091
X Y Z X Y Z X Y Z
-0.183 0.633 0.000 -0.150 0.627 0.045 -0.126 0.623 0.091
-0.291 0.642 0.000 -0.255 0.636 0.045 -0.227 0.632 0.091
-0.399 0.649 0.000 -0.359 0.642 0.045 -0.328 0.638 0.091
-0.507 0.654 0.000 -0.463 0.646 0.045 -0.429 0.642 0.091
-0.616 0.656 0.000 -0.568 0.648 0.045 -0.530 0.643 0.091
-0.724 0.656 0.000 -0.672 0.647 0.045 -0.631 0.642 0.091
-0.832 0.653 0.000 -0.777 0.643 0.045 -0.732 0.639 0.091
-0.941 0.648 0.000 -0.881 0.638 0.045 -0.832 0.633 0.091
-1.049 0.641 0.000 -0.985 0.629 0.045 -0.933 0.625 0.091
-1.157 0.631 0.000 -1.089 0.619 0.045 -1.034 0.614 0.091
-1.265 0.618 0.000 -1.193 0.606 0.045 -1.134 0.601 0.091
-1.372 0.603 0.000 -1.296 0.590 0.045 -1.233 0.585 0.091
-1.479 0.585 0.000 -1.399 0.572 0.045 -1.333 0.567 0.091
-1.585 0.565 0.000 -1.502 0.551 0.045 -1.432 0.546 0.091
-1.691 0.542 0.000 -1.604 0.528 0.045 -1.530 0.523 0.091
-1.797 0.516 0.000 -1.705 0.502 0.045 -1.627 0.497 0.091
-1.901 0.486 0.000 -1.805 0.473 0.045 -1.724 0.468 0.091
-2.005 0.454 0.000 -1.905 0.441 0.045 -1.820 0.437 0.091
-2.107 0.418 0.000 -2.003 0.406 0.045 -1.915 0.402 0.091
X Y Z X Y Z X Y Z
-2.208 0.379 0.000 -2.100 0.368 0.045 -2.009 0.365 0.091
-2.308 0.336 0.000 -2.196 0.326 0.045 -2.102 0.325 0.091
-2.405 0.289 0.000 -2.291 0.281 0.045 -2.192 0.281 0.091
-2.500 0.237 0.000 -2.382 0.231 0.045 -2.281 0.233 0.091
-2.592 0.179 0.000 -2.471 0.176 0.045 -2.368 0.180 0.091
-2.678 0.114 0.000 -2.556 0.115 0.045 -2.450 0.122 0.091
-2.754 0.036 0.000 -2.631 0.042 0.045 -2.524 0.053 0.091
-2.466 -0.019 0.136 -2.385 0.003 0.182 -2.307 0.030 0.227
-2.389 -0.076 0.136 -2.311 -0.053 0.182 -2.236 -0.025 0.227
-2.294 -0.098 0.136 -2.218 -0.072 0.182 -2.145 -0.040 0.227
-2.196 -0.106 0.136 -2.123 -0.074 0.182 -2.052 -0.038 0.227
-2.098 -0.107 0.136 -2.028 -0.071 0.182 -1.959 -0.031 0.227
-2.000 -0.104 0.136 -1.933 -0.063 0.182 -1.867 -0.020 0.227
-1.902 -0.098 0.136 -1.838 -0.053 0.182 -1.775 -0.007 0.227
-1.805 -0.090 0.136 -1.743 -0.043 0.182 -1.683 0.006 0.227
-1.707 -0.082 0.136 -1.648 -0.032 0.182 -1.591 0.018 0.227
-1.609 -0.073 0.136 -1.554 -0.022 0.182 -1.499 0.029 0.227
-1.512 -0.064 0.136 -1.459 -0.012 0.182 -1.407 0.039 0.227
-1.414 -0.055 0.136 -1.364 -0.003 0.182 -1.315 0.048 0.227
X Y Z X Y Z X Y Z
-1.317 -0.047 0.136 -1.269 0.005 0.182 -1.222 0.055 0.227
-1.219 -0.040 0.136 -1.174 0.011 0.182 -1.130 0.060 0.227
-1.121 -0.034 0.136 -1.079 0.016 0.182 -1.037 0.064 0.227
-1.023 -0.029 0.136 -0.983 0.019 0.182 -0.944 0.065 0.227
-0.925 -0.025 0.136 -0.888 0.021 0.182 -0.851 0.065 0.227
-0.827 -0.023 0.136 -0.793 0.021 0.182 -0.759 0.062 0.227
-0.729 -0.022 0.136 -0.697 0.019 0.182 -0.666 0.058 0.227
-0.631 -0.023 0.136 -0.602 0.016 0.182 -0.573 0.052 0.227
-0.533 -0.025 0.136 -0.507 0.011 0.182 -0.481 0.044 0.227
-0.435 -0.028 0.136 -0.412 0.004 0.182 -0.388 0.035 0.227
-0.338 -0.034 0.136 -0.317 -0.004 0.182 -0.296 0.024 0.227
-0.240 -0.040 0.136 -0.222 -0.014 0.182 -0.204 0.011 0.227
-0.142 -0.049 0.136 -0.127 -0.025 0.182 -0.113 -0.003 0.227
-0.045 -0.059 0.136 -0.033 -0.038 0.182 -0.021 -0.019 0.227
0.053 -0.071 0.136 0.061 -0.053 0.182 0.070 -0.037 0.227
0.150 -0.084 0.136 0.155 -0.069 0.182 0.161 -0.055 0.227
0.247 -0.099 0.136 0.249 -0.086 0.182 0.251 -0.076 0.227
0.343 -0.115 0.136 0.342 -0.105 0.182 0.341 -0.097 0.227
0.439 -0.133 0.136 0.435 -0.126 0.182 0.431 -0.120 0.227
X Y Z X Y Z X Y Z
0.536 -0.153 0.136 0.528 -0.148 0.182 0.521 -0.145 0.227
0.631 -0.174 0.136 0.621 -0.171 0.182 0.610 -0.170 0.227
0.727 -0.196 0.136 0.713 -0.196 0.182 0.699 -0.197 0.227
0.822 -0.220 0.136 0.804 -0.222 0.182 0.788 -0.225 0.227
0.916 -0.246 0.136 0.896 -0.249 0.182 0.876 -0.254 0.227
1.010 -0.272 0.136 0.987 -0.278 0.182 0.963 -0.284 0.227
1.104 -0.301 0.136 1.077 -0.308 0.182 1.051 -0.315 0.227
1.198 -0.330 0.136 1.167 -0.339 0.182 1.138 -0.348 0.227
1.291 -0.362 0.136 1.257 -0.371 0.182 1.224 -0.382 0.227
1.383 -0.394 0.136 1.346 -0.405 0.182 1.310 -0.416 0.227
1.475 -0.428 0.136 1.435 -0.440 0.182 1.396 -0.452 0.227
1.566 -0.463 0.136 1.523 -0.476 0.182 1.481 -0.489 0.227
1.657 -0.500 0.136 1.611 -0.513 0.182 1.565 -0.528 0.227
1.748 -0.538 0.136 1.698 -0.552 0.182 1.649 -0.567 0.227
1.837 -0.577 0.136 1.785 -0.592 0.182 1.733 -0.608 0.227
1.926 -0.618 0.136 1.871 -0.633 0.182 1.815 -0.649 0.227
2.015 -0.660 0.136 1.956 -0.675 0.182 1.898 -0.692 0.227
2.103 -0.703 0.136 2.041 -0.719 0.182 1.979 -0.736 0.227
2.190 -0.748 0.136 2.125 -0.764 0.182 2.060 -0.782 0.227
X Y Z X Y Z X Y Z
2.276 -0.795 0.136 2.208 -0.811 0.182 2.141 -0.828 0.227
2.362 -0.843 0.136 2.290 -0.858 0.182 2.220 -0.876 0.227
2.446 -0.892 0.136 2.372 -0.908 0.182 2.299 -0.925 0.227
2.530 -0.943 0.136 2.452 -0.958 0.182 2.377 -0.976 0.227
2.612 -0.996 0.136 2.532 -1.011 0.182 2.454 -1.028 0.227
2.694 -1.050 0.136 2.611 -1.064 0.182 2.530 -1.081 0.227
2.774 -1.106 0.136 2.689 -1.119 0.182 2.605 -1.135 0.227
2.860 -1.150 0.136 2.771 -1.161 0.182 2.685 -1.176 0.227
2.901 -1.076 0.136 2.808 -1.088 0.182 2.717 -1.104 0.227
2.833 -1.007 0.136 2.741 -1.021 0.182 2.651 -1.039 0.227
2.761 -0.940 0.136 2.671 -0.956 0.182 2.584 -0.975 0.227
2.689 -0.874 0.136 2.601 -0.892 0.182 2.516 -0.912 0.227
2.616 -0.808 0.136 2.530 -0.827 0.182 2.448 -0.849 0.227
2.544 -0.742 0.136 2.460 -0.763 0.182 2.379 -0.786 0.227
2.471 -0.677 0.136 2.389 -0.699 0.182 2.311 -0.723 0.227
2.397 -0.612 0.136 2.318 -0.636 0.182 2.242 -0.661 0.227
2.323 -0.548 0.136 2.247 -0.573 0.182 2.172 -0.600 0.227
2.249 -0.484 0.136 2.174 -0.511 0.182 2.103 -0.539 0.227
2.174 -0.421 0.136 2.102 -0.449 0.182 2.032 -0.478 0.227
X Y Z X Y Z X Y Z
2.098 -0.359 0.136 2.028 -0.388 0.182 1.961 -0.418 0.227
2.021 -0.298 0.136 1.954 -0.329 0.182 1.890 -0.359 0.227
1.943 -0.238 0.136 1.879 -0.270 0.182 1.817 -0.301 0.227
1.865 -0.180 0.136 1.803 -0.212 0.182 1.745 -0.244 0.227
1.785 -0.123 0.136 1.727 -0.155 0.182 1.671 -0.187 0.227
1.704 -0.067 0.136 1.649 -0.100 0.182 1.596 -0.132 0.227
1.623 -0.013 0.136 1.570 -0.046 0.182 1.521 -0.078 0.227
1.540 0.039 0.136 1.491 0.007 0.182 1.444 -0.025 0.227
1.456 0.089 0.136 1.410 0.058 0.182 1.367 0.026 0.227
1.371 0.138 0.136 1.329 0.107 0.182 1.289 0.076 0.227
1.284 0.185 0.136 1.246 0.155 0.182 1.210 0.125 0.227
1.197 0.229 0.136 1.163 0.201 0.182 1.130 0.172 0.227
1.109 0.272 0.136 1.078 0.245 0.182 1.049 0.217 0.227
1.020 0.313 0.136 0.992 0.287 0.182 0.967 0.260 0.227
0.930 0.351 0.136 0.906 0.327 0.182 0.884 0.302 0.227
0.839 0.387 0.136 0.819 0.365 0.182 0.800 0.342 0.227
0.747 0.421 0.136 0.730 0.401 0.182 0.716 0.380 0.227
0.654 0.453 0.136 0.641 0.435 0.182 0.630 0.415 0.227
0.561 0.482 0.136 0.551 0.466 0.182 0.543 0.449 0.227
X Y Z X Y Z X Y Z
0.466 0.510 0.136 0.461 0.495 0.182 0.465 0.480 0.227
0.372 0.534 0.136 0.369 0.522 0.182 0.368 0.509 0.227
0.276 0.556 0.136 0.277 0.547 0.182 0.279 0.536 0.227
0.180 0.576 0.136 0.184 0.569 0.182 0.189 0.560 0.227
0.084 0.594 0.136 0.091 0.588 0.182 0.099 0.581 0.227
-0.013 0.608 0.136 -0.003 0.605 0.182 0.008 0.600 0.227
-0.110 0.621 0.136 -0.097 0.619 0.182 -0.083 0.617 0.227
-0.208 0.631 0.136 -0.192 0.631 0.182 -0.175 0.630 0.227
-0.306 0.638 0.136 -0.287 0.640 0.182 -0.267 0.641 0.227
-0.403 0.643 0.136 -0.382 0.646 0.182 -0.359 0.649 0.227
-0.501 0.645 0.136 -0.477 0.649 0.182 -0.452 0.654 0.227
-0.599 0.644 0.136 -0.573 0.650 0.182 -0.545 0.656 0.227
-0.697 0.642 0.136 -0.668 0.648 0.182 -0.638 0.656 0.227
-0.795 0.636 0.136 -0.763 0.644 0.182 -0.730 0.653 0.227
-0.893 0.628 0.136 -0.858 0.637 0.182 -0.823 0.647 0.227
-0.990 0.618 0.136 -0.953 0.627 0.182 -0.915 0.638 0.227
-1.087 0.604 0.136 -1.047 0.614 0.182 -1.007 0.627 0.227
-1.184 0.589 0.136 -1.142 0.599 0.182 -1.099 0.613 0.227
-1.280 0.571 0.136 -1.235 0.582 0.182 -1.190 0.596 0.227
X Y Z X Y Z X Y Z
-1.376 0.550 0.136 -1.328 0.562 0.182 -1.281 0.577 0.227
-1.471 0.527 0.136 -1.421 0.539 0.182 -1.371 0.555 0.227
-1.566 0.501 0.136 -1.513 0.513 0.182 -1.461 0.530 0.227
-1.660 0.473 0.136 -1.604 0.485 0.182 -1.549 0.503 0.227
-1.753 0.442 0.136 -1.694 0.455 0.182 -1.637 0.473 0.227
-1.844 0.408 0.136 1.783 0.421 0.182 -1.724 0.440 0.227
-1.935 0.371 0.136 -1.872 0.385 0.182 -1.810 0.405 0.227
-2.025 0.332 0.136 -1.959 0.346 0.182 -1.894 0.367 0.227
-2.113 0.289 0.136 -2.044 0.304 0.182 -1.977 0.325 0.227
-2.199 0.242 0.136 -2.128 0.258 0.182 -2.059 0.280 0.227
-2.283 0.191 0.136 -2.209 0.209 0.182 -2.138 0.232 0.227
-2.363 0.135 0.136 -2.287 0.153 0.182 -2.213 0.177 0.227
-2.435 0.069 0.136 -2.356 0.088 0.182 -2.280 0.114 0.227
-2.234 0.062 0.273 -2.162 0.095 0.318 -2.091 0.130 0.364
-2.165 0.008 0.273 -2.094 0.043 0.318 -2.024 0.083 0.364
-2.075 -0.003 0.273 -2.006 0.037 0.318 -1.938 0.080 0.364
-1.985 0.003 0.273 -1.918 0.046 0.318 -1.852 0.093 0.364
-1.895 0.014 0.273 -1.831 0.060 0.318 -1.767 0.109 0.364
-1.806 0.028 0.273 -1.744 0.077 0.318 -1.683 0.127 0.364
X Y Z X Y Z X Y Z
-1.717 0.044 0.273 -1.658 0.094 0.318 -1.599 0.145 0.364
-1.627 0.059 0.273 -1.571 0.110 0.318 -1.514 0.161 0.364
-1.538 0.072 0.273 -1.484 0.125 0.318 -1.429 0.175 0.364
-1.448 0.084 0.273 -1.396 0.137 0.318 -1.343 0.187 0.364
-1.359 0.095 0.273 -1.309 0.147 0.318 -1.258 0.197 0.364
-1.268 0.103 0.273 -1.221 0.155 0.318 -1.172 0.204 0.364
-1.178 0.109 0.273 -1.133 0.160 0.318 -1.085 0.208 0.364
-1.088 0.113 0.273 -1.044 0.162 0.318 -0.999 0.208 0.364
-0.997 0.115 0.273 -0.956 0.162 0.318 -0.913 0.206 0.364
-0.907 0.114 0.273 -0.868 0.160 0.318 -0.827 0.202 0.364
-0.817 0.111 0.273 -0.780 0.155 0.318 -0.741 0.194 0.364
-0.726 0.106 0.273 -0.692 0.147 0.318 -0.655 0.184 0.364
-0.636 0.099 0.273 -0.604 0.137 0.318 -0.570 0.172 0.364
-0.546 0.090 0.273 -0.516 0.126 0.318 -0.485 0.157 0.364
-0.456 0.080 0.273 -0.429 0.112 0.318 -0.400 0.140 0.364
-0.367 0.067 0.273 -0.342 0.096 0.318 -0.316 0.121 0.364
-0.277 0.053 0.273 -0.256 0.079 0.318 -0.232 0.101 0.364
-0.188 0.037 0.273 -0.170 0.059 0.318 -0.148 0.079 0.364
-0.100 0.019 0.273 -0.084 0.039 0.318 -0.065 0.055 0.364
X Y Z X Y Z X Y Z
-0.011 0.000 0.273 0.002 0.017 0.318 0.017 0.030 0.364
0.077 -0.020 0.273 0.087 -0.007 0.318 0.099 0.000 0.364
0.165 -0.042 0.273 0.172 -0.031 0.318 0.181 -0.024 0.364
0.252 -0.065 0.273 0.256 -0.057 0.318 0.263 -0.053 0.364
0.339 -0.089 0.273 0.340 -0.085 0.318 0.344 -0.083 0.364
0.426 -0.115 0.273 0.424 -0.113 0.318 0.424 -0.113 0.364
0.513 -0.142 0.273 0.507 -0.142 0.318 0.504 -0.145 0.364
0.599 -0.170 0.273 0.590 -0.172 0.318 0.584 -0.178 0.364
0.684 -0.199 0.273 0.673 -0.200 0.318 0.664 -0.211 0.364
0.770 -0.229 0.273 0.755 -0.236 0.318 0.743 -0.246 0.364
0.855 -0.260 0.273 0.837 -0.269 0.318 0.822 -0.281 0.364
0.939 -0.292 0.273 0.918 -0.303 0.318 0.900 -0.317 0.364
1.023 -0.325 0.273 0.999 -0.338 0.318 0.978 -0.354 0.364
1.107 -0.359 0.273 1.080 -0.374 0.318 1.056 -0.392 0.364
1.190 -0.394 0.273 1.160 -0.411 0.318 1.133 -0.430 0.364
1.273 -0.431 0.273 1.240 -0.449 0.318 1.210 -0.469 0.364
1.356 -0.468 0.273 1.319 -0.487 0.318 1.286 -0.510 0.364
1.438 -0.506 0.273 1.398 -0.527 0.318 1.362 -0.550 0.364
1.519 -0.545 0.273 1.477 -0.567 0.318 1.438 -0.592 0.364
X Y Z X Y Z X Y Z
1.600 -0.586 0.273 1.555 -0.609 0.318 1.513 -0.635 0.364
1.681 -0.627 0.273 1.632 -0.651 0.318 1.587 -0.678 0.364
1.760 -0.669 0.273 1.709 -0.694 0.318 1.662 -0.723 0.364
1.840 -0.713 0.273 1.786 -0.739 0.318 1.735 -0.768 0.364
1.918 -0.758 0.273 1.861 -0.784 0.318 1.808 -0.814 0.364
1.997 -0.803 0.273 1.937 -0.830 0.318 1.880 -0.861 0.364
2.074 -0.850 0.273 2.011 -0.878 0.318 1.952 -0.909 0.364
2.151 -0.898 0.273 2.085 -0.926 0.318 2.023 -0.957 0.364
2.226 -0.947 0.273 2.158 -0.975 0.318 2.094 -1.007 0.364
2.302 -0.998 0.273 2.231 -1.026 0.318 2.164 -1.058 0.364
2.376 -1.049 0.273 2.302 -1.077 0.318 2.233 -1.109 0.364
2.449 -1.102 0.273 2.373 -1.130 0.318 2.301 -1.162 0.364
2.522 -1.156 0.273 2.444 -1.183 0.318 2.369 -1.215 0.364
2.600 -1.196 0.273 2.520 -1.220 0.318 2.444 -1.246 0.364
2.630 -1.125 0.273 2.543 -1.149 0.318 2.459 -1.174 0.364
2.565 -1.062 0.273 2.480 -1.087 0.318 2.398 -1.113 0.364
2.500 -0.999 0.273 2.417 -1.026 0.318 2.336 -1.053 0.364
2.434 -0.937 0.273 2.353 -0.965 0.318 2.274 -0.993 0.364
2.368 -0.876 0.273 2.289 -0.904 0.318 2.212 -0.933 0.364
X Y Z X Y Z X Y Z
2.302 -0.814 0.273 2.225 -0.843 0.318 2.150 -0.873 0.364
2.235 -0.753 0.273 2.160 -0.783 0.318 2.088 -0.813 0.364
2.168 -0.692 0.273 2.096 -0.723 0.318 2.025 -0.754 0.364
2.101 -0.631 0.273 2.031 -0.663 0.318 1.962 -0.694 0.364
2.034 -0.571 0.273 1.965 -0.603 0.318 1.899 -0.636 0.364
1.966 -0.511 0.273 1.900 -0.545 0.318 1.836 -0.577 0.364
1.897 -0.452 0.273 1.834 -0.486 0.318 1.772 -0.519 0.364
1.828 -0.394 0.273 1.767 -0.428 0.318 1.708 -0.461 0.364
1.758 -0.336 0.273 1.700 -0.371 0.318 1.643 -0.404 0.364
1.688 -0.279 0.273 1.632 -0.314 0.318 1.578 -0.348 0.364
1.617 -0.223 0.273 1.564 -0.258 0.318 1.512 -0.292 0.364
1.545 -0.168 0.273 1.495 -0.203 0.318 1.446 -0.236 0.364
1.473 -0.114 0.273 1.425 -0.149 0.318 1.379 -0.181 0.364
1.400 -0.061 0.273 1.355 -0.095 0.318 1.312 -0.127 0.364
1.326 -0.009 0.273 1.284 -0.042 0.318 1.244 -0.074 0.364
1.251 0.042 0.273 1.212 0.009 0.318 1.176 -0.022 0.364
1.175 0.091 0.273 1.140 0.060 0.318 1.106 0.030 0.364
1.098 0.140 0.273 1.067 0.109 0.318 1.036 0.080 0.364
1.021 0.186 0.273 0.993 0.157 0.318 0.965 0.129 0.364
X Y Z X Y Z X Y Z
0.942 0.231 0.273 0.917 0.203 0.318 0.893 0.177 0.364
0.863 0.275 0.273 0.841 0.248 0.318 0.821 0.223 0.364
0.783 0.316 0.273 0.765 0.292 0.318 0.747 0.268 0.364
0.702 0.356 0.273 0.687 0.333 0.318 0.672 0.312 0.364
0.619 0.394 0.273 0.608 0.373 0.318 0.597 0.353 0.364
0.536 0.430 0.273 0.528 0.411 0.318 0.520 0.393 0.364
0.452 0.463 0.273 0.447 0.447 0.318 0.443 0.431 0.364
0.367 0.495 0.273 0.366 0.480 0.318 0.364 0.467 0.364
0.282 0.523 0.273 0.283 0.512 0.318 0.285 0.501 0.364
0.195 0.550 0.273 0.200 0.541 0.318 0.204 0.532 0.364
0.108 0.574 0.273 0.115 0.567 0.318 0.123 0.560 0.364
0.020 0.595 0.273 0.030 0.591 0.318 0.041 0.587 0.364
-0.069 0.614 0.273 -0.055 0.612 0.318 -0.042 0.610 0.364
-0.158 0.629 0.273 -0.142 0.630 0.318 -0.126 0.631 0.364
-0.247 0.642 0.273 -0.229 0.646 0.318 -0.210 0.649 0.364
-0.337 0.653 0.273 -0.316 0.658 0.318 -0.295 0.665 0.364
-0.427 0.660 0.273 -0.404 0.668 0.318 -0.381 0.677 0.364
-0.517 0.664 0.273 -0.492 0.674 0.318 -0.467 0.686 0.364
-0.608 0.666 0.273 -0.580 0.678 0.318 -0.553 0.693 0.364
X Y Z X Y Z X Y Z
-0.698 0.664 0.273 -0.668 0.679 0.318 -0.639 0.696 0.364
-0.789 0.660 0.273 -0.757 0.677 0.318 -0.725 0.696 0.364
-0.879 0.653 0.273 -0.845 0.672 0.318 -0.811 0.693 0.364
-0.969 0.643 0.273 -0.933 0.663 0.318 -0.898 0.687 0.364
-1.058 0.630 0.273 -1.020 0.653 0.318 -0.983 0.678 0.364
-1.147 0.615 0.273 -1.108 0.639 0.318 -1.069 0.667 0.364
-1.236 0.597 0.273 -1.194 0.622 0.318 -1.154 0.652 0.364
-1.324 0.576 0.273 -1.280 0.603 0.318 -1.238 0.634 0.364
-1.411 0.552 0.273 -1.366 0.580 0.318 -1.322 0.613 0.364
-1.498 0.526 0.273 -1.450 0.555 0.318 -1.405 0.589 0.364
-1.584 0.497 0.273 -1.534 0.527 0.318 -1.487 0.561 0.364
-1.668 0.465 0.273 -1.617 0.496 0.318 -1.568 0.531 0.364
-1.752 0.431 0.273 -1.698 0.462 0.318 -1.647 0.498 0.364
-1.834 0.393 0.273 -1.779 0.425 0.318 -1.725 0.461 0.364
-1.915 0.353 0.273 -1.857 0.385 0.318 -1.802 0.422 0.364
-1.994 0.309 0.273 -1.934 0.341 0.318 -1.876 0.377 0.364
-2.071 0.261 0.273 -2.008 0.293 0.318 -1.947 0.329 0.364
-2.144 0.207 0.273 -2.078 0.239 0.318 -2.014 0.275 0.364
-2.208 0.144 0.273 -2.139 0.176 0.318 -2.072 0.211 0.364
X Y Z X Y Z X Y Z
-2.024 0.174 0.409 -1.959 0.226 0.455 -1.900 0.290 0.500
-1.957 0.131 0.409 -1.893 0.186 0.455 -1.834 0.252 0.500
-1.873 0.132 0.409 -1.810 0.190 0.455 -1.754 0.259 0.500
-1.790 0.146 0.409 -1.729 0.205 0.455 -1.674 0.275 0.500
-1.707 0.163 0.409 -1.648 0.223 0.455 -1.595 0.292 0.500
-1.624 0.182 0.409 -1.568 0.241 0.455 -1.516 0.309 0.500
-1.542 0.199 0.409 -1.487 0.258 0.455 -1.436 0.325 0.500
-1.459 0.215 0.409 -1.406 0.273 0.455 -1.356 0.338 0.500
-1.376 0.229 0.409 -1.324 0.285 0.455 -1.276 0.348 0.500
-1.292 0.240 0.409 -1.242 0.295 0.455 -1.195 0.356 0.500
-1.208 0.249 0.409 -1.159 0.301 0.455 -1.114 0.360 0.500
-1.124 0.254 0.409 -1.077 0.305 0.455 -1.033 0.361 0.500
-1.039 0.256 0.409 -0.994 0.305 0.455 -0.952 0.358 0.500
-0.955 0.255 0.409 -0.912 0.301 0.455 -0.871 0.352 0.500
-0.871 0.251 0.409 -0.829 0.294 0.455 -0.791 0.342 0.500
-0.787 0.243 0.409 -0.747 0.285 0.455 -0.710 0.329 0.500
-0.703 0.233 0.409 -0.665 0.272 0.455 -0.631 0.313 0.500
-0.619 0.220 0.409 -0.584 0.256 0.455 -0.552 0.294 0.500
-0.536 0.205 0.409 -0.504 0.237 0.455 -0.474 0.272 0.500
X Y Z X Y Z X Y Z
-0.454 0.187 0.409 -0.424 0.217 0.455 -0.397 0.248 0.500
-0.372 0.167 0.409 -0.344 0.194 0.455 -0.320 0.222 0.500
-0.290 0.146 0.409 -0.266 0.169 0.455 -0.244 0.194 0.500
-0.209 0.122 0.409 -0.187 0.142 0.455 -0.168 0.164 0.500
-0.129 0.097 0.409 -0.110 0.144 0.455 -0.094 0.133 0.500
-0.048 0.070 0.409 -0.032 0.085 0.455 -0.019 0.100 0.500
0.031 0.042 0.409 0.044 0.054 0.455 0.055 0.067 0.500
0.110 0.013 0.409 0.121 0.022 0.455 0.128 0.032 0.500
0.189 -0.017 0.409 0.196 -0.012 0.455 0.200 -0.004 0.500
0.268 -0.049 0.409 0.272 -0.046 0.455 0.273 -0.041 0.500
0.346 -0.081 0.409 0.347 -0.081 0.455 0.344 -0.079 0.500
0.423 -0.115 0.409 0.421 -0.117 0.455 0.416 -0.117 0.500
0.500 -0.149 0.409 0.495 -0.153 0.455 0.487 -0.156 0.500
0.577 -0.184 0.409 0.569 -0.190 0.455 0.558 -0.196 0.500
0.654 -0.220 0.409 0.642 -0.228 0.455 0.628 -0.236 0.500
0.730 -0.256 0.409 0.715 -0.267 0.455 0.698 -0.277 0.500
0.805 -0.293 0.409 0.788 -0.306 0.455 0.768 -0.318 0.500
0.881 -0.331 0.409 0.860 -0.346 0.455 0.837 -0.360 0.500
0.956 -0.370 0.409 0.933 -0.387 0.455 0.906 -0.403 0.500
X Y Z X Y Z X Y Z
1.030 -0.410 0.409 1.004 -0.428 0.455 0.975 -0.446 0.500
1.105 -0.450 0.409 1.076 -0.470 0.455 1.043 -0.489 0.500
1.179 -0.491 0.409 1.146 -0.512 0.455 1.112 -0.533 0.500
1.252 -0.532 0.409 1.217 -0.555 0.455 1.179 -0.578 0.500
1.325 -0.574 0.409 1.287 -0.599 0.455 1.247 -0.623 0.500
1.398 -0.617 0.409 1.357 -0.643 0.455 1.314 -0.669 0.500
1.470 -0.661 0.409 1.426 -0.688 0.455 1.380 -0.715 0.500
1.542 -0.705 0.409 1.495 -0.734 0.455 1.447 -0.762 0.500
1.613 -0.751 0.409 1.564 -0.780 0.455 1.512 -0.809 0.500
1.684 -0.797 0.409 1.632 -0.827 0.455 1.578 -0.857 0.500
1.754 -0.844 0.409 1.699 -0.875 0.455 1.643 -0.905 0.500
1.824 -0.891 0.409 1.766 -0.923 0.455 1.707 -0.954 0.500
1.893 -0.940 0.409 1.833 -0.972 0.455 1.771 -1.004 0.500
1.962 -0.989 0.409 1.899 -1.022 0.455 1.835 -1.054 0.500
2.030 -1.039 0.409 1.965 -1.072 0.455 1.898 -1.105 0.500
2.097 -1.090 0.409 2.030 -1.123 0.455 1.961 -1.156 0.500
2.164 -1.141 0.409 2.094 -1.175 0.455 2.023 -1.208 0.500
2.230 -1.194 0.409 2.158 -1.227 0.455 2.085 -1.261 0.500
2.295 -1.247 0.409 2.221 -1.280 0.455 2.146 -1.314 0.500
X Y Z X Y Z X Y Z
2.369 -1.273 0.409 2.294 -1.303 0.455 2.217 -1.337 0.500
2.378 -1.201 0.409 2.300 -1.232 0.455 2.227 -1.268 0.500
2.319 -1.141 0.409 2.242 -1.173 0.455 2.171 -1.209 0.500
2.259 -1.082 0.409 2.184 -1.113 0.455 2.116 -1.150 0.500
2.199 -1.022 0.409 2.127 -1.054 0.455 2.060 -1.092 0.500
2.139 -0.963 0.409 2.069 -0.995 0.455 2.004 -1.033 0.500
2.079 -0.904 0.409 2.011 -0.937 0.455 1.947 -0.974 0.500
2.019 -0.845 0.409 1.952 -0.878 0.455 1.891 -0.916 0.500
1.958 -0.786 0.409 1.894 -0.819 0.455 1.835 -0.858 0.500
1.898 -0.727 0.409 1.835 -0.761 0.455 1.778 -0.800 0.500
1.837 -0.668 0.409 1.777 -0.703 0.455 1.722 -0.742 0.500
1.776 -0.610 0.409 1.718 -0.645 0.455 1.665 -0.684 0.500
1.714 -0.552 0.409 1.659 -0.587 0.455 1.608 -0.626 0.500
1.652 -0.495 0.409 1.599 -0.530 0.455 1.551 -0.569 0.500
1.590 -0.438 0.409 1.539 -0.473 0.455 1.493 -0.511 0.500
1.528 -0.381 0.409 1.479 -0.416 0.455 1.435 -0.455 0.500
1.465 -0.325 0.409 1.419 -0.360 0.455 1.377 -0.398 0.500
1.401 -0.269 0.409 1.358 -0.304 0.455 1.319 -0.342 0.500
1.337 -0.214 0.409 1.297 -0.248 0.455 1.260 -0.286 0.500
X Y Z X Y Z X Y Z
1.273 -0.159 0.409 1.235 -0.193 0.455 1.201 -0.230 0.500
1.208 -0.106 0.409 1.173 -0.139 0.455 1.141 -0.175 0.500
1.142 -0.053 0.409 1.110 -0.085 0.455 1.081 -0.121 0.500
1.076 0.000 0.409 1.046 -0.032 0.455 1.021 -0.067 0.500
1.009 0.051 0.409 0.982 0.020 0.455 0.959 -0.014 0.500
0.941 0.101 0.409 0.917 0.071 0.455 0.897 0.038 0.500
0.872 0.150 0.409 0.852 0.121 0.455 0.834 0.089 0.500
0.803 0.198 0.409 0.785 0.170 0.455 0.770 0.139 0.500
0.732 0.244 0.409 0.718 0.218 0.455 0.706 0.188 0.500
0.661 0.289 0.409 0.649 0.265 0.455 0.640 0.236 0.500
0.588 0.333 0.409 0.580 0.310 0.455 0.574 0.283 0.500
0.515 0.374 0.409 0.510 0.353 0.455 0.507 0.328 0.500
0.440 0.414 0.409 0.438 0.395 0.455 0.439 0.372 0.500
0.365 0.452 0.409 0.366 0.435 0.455 0.369 0.414 0.500
0.288 0.488 0.409 0.292 0.473 0.455 0.299 0.454 0.500
0.211 0.521 0.409 0.218 0.509 0.455 0.228 0.493 0.500
0.132 0.552 0.409 0.143 0.543 0.455 0.155 0.529 0.500
0.053 0.581 0.409 0.066 0.574 0.455 0.082 0.563 0.500
-0.027 0.608 0.409 -0.011 0.603 0.455 0.007 0.596 0.500
X Y Z X Y Z X Y Z
-0.108 0.631 0.409 -0.089 0.630 0.455 -0.068 0.625 0.500
-0.190 0.652 0.409 -0.169 0.654 0.455 -0.145 0.653 0.500
-0.272 0.670 0.409 -0.248 0.675 0.455 -0.222 0.677 0.500
-0.355 0.686 0.409 -0.329 0.693 0.455 -0.300 0.699 0.500
-0.439 0.698 0.409 -0.410 0.709 0.455 -0.379 0.719 0.500
-0.523 0.707 0.409 -0.492 0.721 0.455 -0.458 0.735 0.500
-0.607 0.713 0.409 -0.574 0.731 0.455 -0.538 0.748 0.500
-0.691 0.716 0.409 -0.656 0.737 0.455 -0.619 0.758 0.500
-0.776 0.716 0.409 -0.739 0.740 0.455 -0.699 0.765 0.500
-0.860 0.713 0.409 -0.822 0.740 0.455 -0.780 0.769 0.500
-0.944 0.707 0.409 -0.904 0.737 0.455 -0.861 0.769 0.500
-1.028 0.697 0.409 -0.987 0.730 0.455 -0.942 0.767 0.500
-1.112 0.685 0.409 -1.069 0.720 0.455 -1.023 0.760 0.500
-1.195 0.669 0.409 -1.150 0.707 0.455 -1.104 0.750 0.500
-1.277 0.650 0.409 -1.231 0.690 0.455 -1.184 0.737 0.500
-1.358 0.627 0.409 -1.311 0.670 0.455 -1.263 0.720 0.500
-1.439 0.602 0.409 -1.391 0.646 0.455 -1.341 0.699 0.500
-1.518 0.573 0.409 -1.469 0.619 0.455 -1.418 0.674 0.500
-1.596 0.540 0.409 -1.545 0.588 0.455 -1.494 0.645 0.500
X Y Z X Y Z X Y Z
-1.673 0.505 0.409 -1.620 0.554 0.455 -1.569 0.613 0.500
-1.747 0.465 0.409 -1.694 0.515 0.455 -1.641 0.576 0.500
-1.819 0.422 0.409 -1.764 0.472 0.455 -1.710 0.534 0.500
-1.888 0.373 0.409 -1.831 0.424 0.455 -1.776 0.486 0.500
-1.953 0.319 0.409 -1.893 0.369 0.455 -1.836 0.432 0.500
-2.007 0.254 0.409 -1.944 0.304 0.455 -1.885 0.368 0.500
-1.846 0.372 0.545 -1.794 0.468 0.591 -1.743 0.571 0.636
-1.782 0.335 0.545 -1.734 0.429 0.591 -1.686 0.530 0.636
-1.703 0.342 0.545 -1.656 0.435 0.591 -1.609 0.534 0.636
-1.625 0.358 0.545 -1.579 0.450 0.591 -1.533 0.547 0.636
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-1.469 0.389 0.545 -1.425 0.479 0.591 -1.381 0.571 0.636
-1.391 0.403 0.545 -1.348 0.491 0.591 -1.304 0.580 0.636
-1.312 0.414 0.545 -1.270 0.499 0.591 -1.228 0.585 0.636
-1.232 0.422 0.545 -1.192 0.504 0.591 -1.151 0.586 0.636
-1.153 0.427 0.545 -1.114 0.506 0.591 -1.074 0.584 0.636
-1.073 0.428 0.545 -1.035 0.503 0.591 -0.997 0.577 0.636
-0.994 0.425 0.545 -0.957 0.497 0.591 -0.921 0.567 0.636
-0.914 0.419 0.545 -0.880 0.487 0.591 -0.845 0.552 0.636
X Y Z X Y Z X Y Z
-0.835 0.409 0.545 -0.803 0.473 0.591 -0.770 0.534 0.636
-0.757 0.396 0.545 -0.726 0.456 0.591 -0.696 0.513 0.636
-0.679 0.379 0.545 -0.651 0.435 0.591 -0.623 0.489 0.636
-0.602 0.360 0.545 -0.576 0.412 0.591 -0.551 0.461 0.636
-0.525 0.337 0.545 -0.502 0.386 0.591 -0.480 0.432 0.636
-0.450 0.312 0.545 -0.430 0.357 0.591 -0.410 0.399 0.636
-0.375 0.285 0.545 -0.358 0.326 0.591 -0.341 0.365 0.636
-0.301 0.255 0.545 -0.287 0.293 0.591 -0.273 0.329 0.636
-0.228 0.224 0.545 -0.216 0.259 0.591 -0.206 0.292 0.636
-0.155 0.191 0.545 -0.147 0.223 0.591 -0.139 0.252 0.636
-0.083 0.156 0.545 -0.078 0.185 0.591 -0.074 0.212 0.636
-0.012 0.121 0.545 -0.010 0.147 0.591 -0.009 0.171 0.636
0.059 0.084 0.545 0.057 0.107 0.591 0.055 0.128 0.636
0.129 0.046 0.545 0.124 0.066 0.591 0.119 0.085 0.636
0.198 0.007 0.545 0.191 0.025 0.591 0.182 0.041 0.636
0.267 -0.032 0.545 0.257 -0.018 0.591 0.245 -0.004 0.636
0.336 -0.073 0.545 0.322 -0.061 0.591 0.307 -0.049 0.636
0.404 -0.114 0.545 0.387 -0.104 0.591 0.369 -0.095 0.636
0.472 -0.155 0.545 0.452 -0.148 0.591 0.430 -0.142 0.636
X Y Z X Y Z X Y Z
0.540 -0.197 0.545 0.516 -0.193 0.591 0.492 -0.188 0.636
0.607 -0.240 0.545 0.580 -0.238 0.591 0.552 -0.236 0.636
0.674 -0.283 0.545 0.644 -0.283 0.591 0.613 -0.283 0.636
0.741 -0.326 0.545 0.707 -0.329 0.591 0.673 -0.331 0.636
0.807 -0.370 0.545 0.770 -0.376 0.591 0.733 -0.380 0.636
0.873 -0.415 0.545 0.833 -0.422 0.591 0.793 -0.428 0.636
0.939 -0.460 0.545 0.896 -0.469 0.591 0.852 -0.477 0.636
1.005 -0.505 0.545 0.958 -0.517 0.591 0.912 -0.526 0.636
1.070 -0.551 0.545 1.020 -0.564 0.591 0.971 -0.576 0.636
1.135 -0.597 0.545 1.082 -0.612 0.591 1.029 -0.625 0.636
1.199 -0.644 0.545 1.144 -0.661 0.591 1.088 -0.675 0.636
1.264 -0.691 0.545 1.205 -0.709 0.591 1.146 -0.726 0.636
1.328 -0.738 0.545 1.266 -0.758 0.591 1.205 -0.776 0.636
1.391 -0.786 0.545 1.327 -0.808 0.591 1.262 -0.827 0.636
1.454 -0.835 0.545 1.387 -0.858 0.591 1.320 -0.878 0.636
1.517 -0.884 0.545 1.447 -0.908 0.591 1.378 -0.929 0.636
1.580 -0.933 0.545 1.507 -0.958 0.591 1.435 -0.981 0.636
1.642 -0.983 0.545 1.567 -1.009 0.591 1.492 -1.033 0.636
1.704 -1.033 0.545 1.626 -1.060 0.591 1.549 -1.085 0.636
X Y Z X Y Z X Y Z
1.765 -1.084 0.545 1.685 -1.112 0.591 1.605 -1.137 0.636
1.826 -1.135 0.545 1.743 -1.163 0.591 1.661 -1.189 0.636
1.886 -1.187 0.545 1.802 -1.216 0.591 1.718 -1.242 0.636
1.946 -1.239 0.545 1.860 -1.268 0.591 1.774 -1.295 0.636
2.006 -1.292 0.545 1.918 -1.321 0.591 1.829 -1.348 0.636
2.066 -1.345 0.545 1.975 -1.374 0.591 1.885 -1.401 0.636
2.134 -1.377 0.545 2.038 -1.417 0.591 1.942 -1.452 0.636
2.158 -1.312 0.545 2.082 -1.365 0.591 2.002 -1.421 0.636
2.105 -1.252 0.545 2.036 -1.303 0.591 1.970 -1.355 0.636
2.051 -1.194 0.545 1.984 -1.245 0.591 1.919 -1.297 0.636
1.997 -1.135 0.545 1.931 -1.187 0.591 1.868 -1.239 0.636
1.942 -1.077 0.545 1.879 -1.129 0.591 1.818 -1.181 0.636
1.888 -1.019 0.545 1.826 -1.070 0.591 1.767 -1.123 0.636
1.834 -0.961 0.545 1.774 -1.012 0.591 1.716 -1.065 0.636
1.779 -0.903 0.545 1.721 -0.955 0.591 1.665 -1.007 0.636
1.724 -0.845 0.545 1.669 -0.897 0.591 1.614 -0.950 0.636
1.670 -0.787 0.545 1.616 -0.839 0.591 1.564 -0.892 0.636
1.615 -0.729 0.545 1.563 -0.781 0.591 1.512 -0.834 0.636
1.560 -0.671 0.545 1.510 -0.723 0.591 1.461 -0.777 0.636
X Y Z X Y Z X Y Z
1.505 -0.614 0.545 1.457 -0.666 0.591 1.410 -0.719 0.636
1.450 -0.556 0.545 1.404 -0.609 0.591 1.359 -0.662 0.636
1.394 -0.499 0.545 1.350 -0.551 0.591 1.307 -0.604 0.636
1.339 -0.442 0.545 1.297 -0.494 0.591 1.256 -0.547 0.636
1.283 -0.386 0.545 1.243 -0.437 0.591 1.204 -0.490 0.636
1.226 -0.329 0.545 1.189 -0.381 0.591 1.152 -0.434 0.636
1.169 -0.273 0.545 1.134 -0.325 0.591 1.100 -0.377 0.636
1.112 -0.218 0.545 1.079 -0.269 0.591 1.047 -0.321 0.636
1.054 -0.163 0.545 1.024 -0.213 0.591 0.994 -0.265 0.636
0.996 -0.109 0.545 0.968 -0.158 0.591 0.941 -0.209 0.636
0.937 -0.055 0.545 0.912 -0.104 0.591 0.887 -0.154 0.636
0.878 -0.002 0.545 0.855 -0.050 0.591 0.833 -0.099 0.636
0.818 0.050 0.545 0.798 0.003 0.591 0.778 -0.045 0.636
0.757 0.102 0.545 0.740 0.056 0.591 0.723 0.009 0.636
0.695 0.152 0.545 0.681 0.108 0.591 0.667 0.062 0.636
0.633 0.201 0.545 0.622 0.159 0.591 0.611 0.114 0.636
0.569 0.250 0.545 0.562 0.209 0.591 0.553 0.166 0.636
0.505 0.297 0.545 0.501 0.258 0.591 0.495 0.216 0.636
0.440 0.342 0.545 0.439 0.305 0.591 0.437 0.266 0.636
X Y Z X Y Z X Y Z
0.374 0.387 0.545 0.376 0.352 0.591 0.377 0.315 0.636
0.307 0.429 0.545 0.312 0.397 0.591 0.317 0.363 0.636
0.238 0.471 0.545 0.247 0.441 0.591 0.255 0.409 0.636
0.169 0.510 0.545 0.181 0.484 0.591 0.193 0.454 0.636
0.099 0.547 0.545 0.114 0.524 0.591 0.130 0.498 0.636
0.027 0.583 0.545 0.047 0.563 0.591 0.065 0.540 0.636
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-0.974 0.804 0.545 -0.920 0.848 0.591 -0.864 0.888 0.636
X Y Z X Y Z X Y Z
-1.053 0.798 0.545 -0.999 0.848 0.591 -0.941 0.894 0.636
-1.132 0.789 0.545 -1.077 0.844 0.591 -1.018 0.897 0.636
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X Y Z X Y Z X Y Z
-1.185 0.671 0.682 -1.139 0.755 0.727 -1.088 0.825 0.773
-1.109 0.668 0.682 -1.065 0.748 0.727 -1.015 0.811 0.773
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-0.009 0.194 0.682 -0.009 0.214 0.727 -0.008 0.222 0.773
0.053 0.149 0.682 0.050 0.167 0.727 0.048 0.173 0.773
X Y Z X Y Z X Y Z
0.113 0.103 0.682 0.107 0.119 0.727 0.103 0.124 0.773
0.173 0.057 0.682 0.164 0.070 0.727 0.157 0.074 0.773
0.233 0.010 0.682 0.221 0.021 0.727 0.211 0.024 0.773
0.292 -0.038 0.682 0.277 -0.028 0.727 0.264 -0.027 0.773
0.351 -0.086 0.682 0.333 -0.078 0.727 0.317 -0.078 0.773
0.409 -0.134 0.682 0.388 -0.129 0.727 0.370 -0.130 0.773
0.467 -0.183 0.682 0.443 -0.179 0.727 0.422 -0.182 0.773
0.525 -0.233 0.682 0.498 -0.230 0.727 0.474 -0.234 0.773
0.582 -0.282 0.682 0.552 -0.282 0.727 0.526 -0.286 0.773
0.639 -0.332 0.682 0.606 -0.333 0.727 0.578 -0.339 0.773
0.696 -0.382 0.682 0.660 -0.385 0.727 0.629 -0.392 0.773
0.753 -0.433 0.682 0.714 -0.437 0.727 0.680 -0.445 0.773
0.809 -0.483 0.682 0.768 -0.489 0.727 0.731 -0.498 0.773
0.866 -0.534 0.682 0.821 -0.542 0.727 0.782 -0.551 0.773
0.922 -0.585 0.682 0.875 -0.594 0.727 0.833 -0.605 0.773
0.978 -0.637 0.682 0.928 -0.647 0.727 0.884 -0.658 0.773
1.033 -0.688 0.682 0.981 -0.700 0.727 0.934 -0.712 0.773
1.089 -0.740 0.682 1.034 -0.753 0.727 0.984 -0.766 0.773
1.144 -0.792 0.682 1.087 -0.806 0.727 1.035 -0.820 0.773
X Y Z X Y Z X Y Z
1.200 -0.844 0.682 1.139 -0.859 0.727 1.085 -0.874 0.773
1.255 -0.896 0.682 1.192 -0.913 0.727 1.135 -0.928 0.773
1.310 -0.948 0.682 1.244 -0.966 0.727 1.185 -0.982 0.773
1.364 -1.001 0.682 1.297 -1.019 0.727 1.235 -1.036 0.773
1.419 -1.054 0.682 1.349 -1.073 0.727 1.285 -1.090 0.773
1.473 -1.106 0.682 1.401 -1.127 0.727 1.335 -1.144 0.773
1.528 -1.159 0.682 1.453 -1.180 0.727 1.385 -1.198 0.773
1.582 -1.213 0.682 1.505 -1.234 0.727 1.435 -1.253 0.773
1.636 -1.266 0.682 1.557 -1.288 0.727 1.485 -1.307 0.773
1.690 -1.319 0.682 1.609 -1.342 0.727 1.535 -1.361 0.773
1.744 -1.373 0.682 1.661 -1.396 0.727 1.585 -1.415 0.773
1.797 -1.426 0.682 1.713 -1.450 0.727 1.634 -1.470 0.773
1.851 -1.480 0.682 1.765 -1.504 0.727 1.684 -1.524 0.773
1.918 -1.475 0.682 1.830 -1.523 0.727 1.744 -1.560 0.773
1.906 -1.407 0.682 1.844 -1.459 0.727 1.780 -1.505 0.773
1.857 -1.349 0.682 1.797 -1.400 0.727 1.739 -1.445 0.773
1.808 -1.291 0.682 1.750 -1.342 0.727 1.693 -1.387 0.773
1.759 -1.233 0.682 1.703 -1.284 0.727 1.648 -1.329 0.773
1.710 -1.175 0.682 1.655 -1.226 0.727 1.602 -1.271 0.773
X Y Z X Y Z X Y Z
1.661 -1.117 0.682 1.608 -1.168 0.727 1.556 -1.213 0.773
1.612 -1.059 0.682 1.560 -1.110 0.727 1.511 -1.155 0.773
1.563 -1.001 0.682 1.513 -1.052 0.727 1.465 -1.097 0.773
1.514 -0.944 0.682 1.465 -0.994 0.727 1.419 -1.040 0.773
1.464 -0.886 0.682 1.418 -0.937 0.727 1.373 -0.982 0.773
1.415 -0.828 0.682 1.370 -0.879 0.727 1.328 -0.924 0.773
1.365 -0.771 0.682 1.322 -0.821 0.727 1.282 -0.867 0.773
1.316 -0.713 0.682 1.274 -0.764 0.727 1.236 -0.809 0.773
1.266 -0.656 0.682 1.226 -0.706 0.727 1.190 -0.751 0.773
1.216 -0.599 0.682 1.178 -0.649 0.727 1.143 -0.694 0.773
1.167 -0.541 0.682 1.130 -0.592 0.727 1.097 -0.637 0.773
1.116 -0.484 0.682 1.082 -0.534 0.727 1.051 -0.579 0.773
1.066 -0.428 0.682 1.033 -0.477 0.727 1.004 -0.522 0.773
1.016 -0.371 0.682 0.985 -0.420 0.727 0.957 -0.465 0.773
0.965 -0.315 0.682 0.936 -0.364 0.727 0.910 -0.408 0.773
0.914 -0.259 0.682 0.887 -0.307 0.727 0.863 -0.352 0.773
0.862 -0.203 0.682 0.837 -0.251 0.727 0.816 -0.295 0.773
0.810 -0.147 0.682 0.788 -0.195 0.727 0.769 -0.239 0.773
0.758 -0.092 0.682 0.738 -0.139 0.727 0.721 -0.183 0.773
X Y Z X Y Z X Y Z
0.705 -0.038 0.682 0.687 -0.084 0.727 0.673 -0.127 0.773
0.652 0.016 0.682 0.637 -0.029 0.727 0.624 -0.071 0.773
0.598 0.070 0.682 0.586 0.026 0.727 0.576 -0.016 0.773
0.544 0.123 0.682 0.534 0.080 0.727 0.527 0.039 0.773
0.489 0.175 0.682 0.482 0.134 0.727 0.477 0.094 0.773
0.433 0.227 0.682 0.429 0.187 0.727 0.427 0.148 0.773
0.377 0.278 0.682 0.375 0.240 0.727 0.376 0.201 0.773
0.320 0.327 0.682 0.321 0.291 0.727 0.325 0.254 0.773
0.262 0.376 0.682 0.266 0.342 0.727 0.273 0.306 0.773
0.203 0.424 0.682 0.211 0.392 0.727 0.221 0.358 0.773
0.143 0.471 0.682 0.154 0.441 0.727 0.167 0.409 0.773
0.082 0.516 0.682 0.097 0.490 0.727 0.113 0.459 0.773
0.020 0.560 0.682 0.039 0.536 0.727 0.058 0.508 0.773
-0.043 0.602 0.682 -0.021 0.582 0.727 0.003 0.556 0.773
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-0.306 0.754 0.682 -0.269 0.750 0.727 -0.231 0.736 0.773
-0.374 0.787 0.682 -0.333 0.787 0.727 -0.292 0.778 0.773
X Y Z X Y Z X Y Z
-0.444 0.818 0.682 -0.399 0.823 0.727 -0.354 0.817 0.773
-0.514 0.845 0.682 -0.466 0.856 0.727 -0.418 0.855 0.773
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-1.505 1.031 0.818 -1.438 1.150 0.864 -1.371 1.271 0.909
X Y Z X Y Z X Y Z
-1.467 0.974 0.818 -1.407 1.089 0.864 -1.348 1.207 0.909
-1.398 0.954 0.818 -1.342 1.059 0.864 -1.290 1.165 0.909
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X Y Z X Y Z X Y Z
-0.228 0.419 0.818 -0.228 0.430 0.864 -0.235 0.442 0.909
-0.173 0.372 0.818 -0.175 0.381 0.864 -0.184 0.392 0.909
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-0.064 0.276 0.818 -0.071 0.282 0.864 -0.084 0.290 0.909
-0.011 0.226 0.818 -0.020 0.232 0.864 -0.034 0.239 0.909
0.042 0.177 0.818 0.031 0.181 0.864 0.015 0.187 0.909
0.094 0.126 0.818 0.082 0.129 0.864 0.064 0.135 0.909
0.146 0.075 0.818 0.132 0.078 0.864 0.112 0.082 0.909
0.198 0.024 0.818 0.181 0.026 0.864 0.160 0.029 0.909
0.249 -0.028 0.818 0.230 -0.027 0.864 0.208 -0.024 0.909
0.300 -0.080 0.818 0.279 -0.080 0.864 0.256 -0.077 0.909
0.350 -0.132 0.818 0.328 -0.133 0.864 0.303 -0.131 0.909
0.400 -0.185 0.818 0.376 -0.186 0.864 0.350 -0.185 0.909
0.450 -0.237 0.818 0.424 -0.239 0.864 0.397 -0.239 0.909
0.500 -0.291 0.818 0.472 -0.293 0.864 0.443 -0.293 0.909
0.549 0.344 0.818 0.520 -0.347 0.864 0.489 -0.347 0.909
0.598 -0.397 0.818 0.567 -0.401 0.864 0.536 -0.402 0.909
0.647 -0.451 0.818 0.615 -0.455 0.864 0.582 -0.457 0.909
0.696 -0.505 0.818 0.662 -0.509 0.864 0.628 -0.511 0.909
X Y Z X Y Z X Y Z
0.745 -0.559 0.818 0.709 -0.564 0.864 0.673 -0.566 0.909
0.794 -0.613 0.818 0.756 -0.618 0.864 0.719 -0.621 0.909
0.842 -0.667 0.818 0.802 -0.673 0.864 0.764 -0.677 0.909
0.890 -0.721 0.818 0.849 -0.728 0.864 0.810 -0.732 0.909
0.939 -0.775 0.818 0.896 -0.783 0.864 0.855 -0.787 0.909
0.987 -0.830 0.818 0.942 -0.837 0.864 0.900 -0.842 0.909
1.035 -0.884 0.818 0.989 -0.892 0.864 0.945 -0.898 0.909
1.083 -0.939 0.818 1.035 -0.947 0.864 0.990 -0.953 0.909
1.131 -0.993 0.818 1.081 -1.002 0.864 1.035 -1.009 0.909
1.179 -1.048 0.818 1.128 -1.057 0.864 1.080 -1.064 0.909
1.227 -1.102 0.818 1.174 -1.112 0.864 1.125 -1.120 0.909
1.275 -1.157 0.818 1.220 -1.167 0.864 1.170 -1.176 0.909
1.323 -1.212 0.818 1.267 -1.222 0.864 1.215 -1.231 0.909
1.371 -1.266 0.818 1.313 -1.277 0.864 1.260 -1.287 0.909
1.419 -1.321 0.818 1.359 -1.333 0.864 1.305 -1.342 0.909
1.467 -1.376 0.818 1.405 -1.388 0.864 1.350 -1.398 0.909
1.515 -1.430 0.818 1.452 -1.443 0.864 1.395 -1.453 0.909
1.563 -1.485 0.818 1.498 -1.497 0.864 1.440 -1.509 0.909
1.611 -1.539 0.818 1.545 -1.552 0.864 1.485 -1.564 0.909
X Y Z X Y Z X Y Z
1.665 -1.586 0.818 1.594 -1.605 0.864 1.530 -1.620 0.909
1.717 -1.546 0.818 1.654 -1.586 0.864 1.594 -1.622 0.909
1.685 -1.483 0.818 1.637 -1.520 0.864 1.594 -1.558 0.909
1.641 -1.425 0.818 1.594 -1.462 0.864 1.553 -1.499 0.909
1.597 -1.367 0.818 1.552 -1.404 0.864 1.512 -1.441 0.909
1.553 -1.309 0.818 1.509 -1.346 0.864 1.471 -1.382 0.909
1.509 -1.252 0.818 1.467 -1.288 0.864 1.430 -1.324 0.909
1.465 -1.194 0.818 1.424 -1.230 0.864 1.389 -1.265 0.909
1.421 -1.136 0.818 1.382 -1.172 0.864 1.347 -1.207 0.909
1.377 -1.078 0.818 1.339 -1.114 0.864 1.306 -1.149 0.909
1.333 -1.020 0.818 1.297 -1.056 0.864 1.265 -1.090 0.909
1.288 -0.963 0.818 1.254 -0.998 0.864 1.224 -1.032 0.909
1.244 -0.905 0.818 1.211 -0.940 0.864 1.182 -0.974 0.909
1.200 -0.847 0.818 1.169 -0.883 0.864 1.141 -0.915 0.909
1.156 -0.790 0.818 1.126 -0.825 0.864 1.099 -0.857 0.909
1.111 -0.732 0.818 1.083 -0.767 0.864 1.058 -0.799 0.909
1.066 -0.675 0.818 1.040 -0.710 0.864 1.016 -0.741 0.909
1.022 -0.618 0.818 0.997 -0.652 0.864 0.974 -0.683 0.909
0.977 -0.560 0.818 0.953 -0.595 0.864 0.932 -0.625 0.909
X Y Z X Y Z X Y Z
0.932 -0.503 0.818 0.910 -0.537 0.864 0.890 -0.567 0.909
0.887 -0.446 0.818 0.866 -0.480 0.864 0.848 -0.510 0.909
0.842 -0.389 0.818 0.823 -0.423 0.864 0.806 -0.452 0.909
0.796 -0.333 0.818 0.779 -0.366 0.864 0.763 -0.395 0.909
0.751 -0.276 0.818 0.735 -0.309 0.864 0.720 -0.337 0.909
0.705 -0.220 0.818 0.691 -0.252 0.864 0.678 -0.280 0.909
0.659 -0.163 0.818 0.646 -0.196 0.864 0.634 -0.223 0.909
0.612 -0.107 0.818 0.602 -0.139 0.864 0.591 -0.166 0.909
0.566 -0.052 0.818 0.557 -0.083 0.864 0.548 -0.110 0.909
0.519 0.004 0.818 0.511 -0.027 0.864 0.504 -0.053 0.909
0.471 0.059 0.818 0.466 0.028 0.864 0.459 0.003 0.909
0.424 0.114 0.818 0.420 0.084 0.864 0.415 0.059 0.909
0.375 0.168 0.818 0.374 0.139 0.864 0.370 0.114 0.909
0.327 0.222 0.818 0.327 0.193 0.864 0.325 0.170 0.909
0.277 0.275 0.818 0.280 0.248 0.864 0.279 0.225 0.909
0.227 0.328 0.818 0.232 0.301 0.864 0.233 0.279 0.909
0.177 0.380 0.818 0.184 0.355 0.864 0.187 0.334 0.909
0.126 0.432 0.818 0.135 0.407 0.864 0.140 0.387 0.909
0.074 0.483 0.818 0.085 0.460 0.864 0.092 0.441 0.909
X Y Z X Y Z X Y Z
0.021 0.533 0.818 0.035 0.511 0.864 0.044 0.494 0.909
-0.033 0.582 0.818 -0.016 0.562 0.864 -0.005 0.546 0.909
-0.088 0.630 0.818 -0.068 0.612 0.864 -0.054 0.597 0.909
-0.143 0.677 0.818 -0.120 0.661 0.864 -0.104 0.648 0.909
-0.200 0.722 0.818 -0.174 0.709 0.864 -0.155 0.699 0.909
-0.257 0.767 0.818 -0.228 0.756 0.864 -0.207 0.748 0.909
-0.316 0.810 0.818 -0.284 0.802 0.864 -0.259 0.797 0.909
-0.376 0.851 0.818 -0.340 0.846 0.864 -0.313 0.844 0.909
-0.436 0.890 0.818 -0.398 0.890 0.864 -0.367 0.891 0.909
-0.499 0.928 0.818 -0.456 0.931 0.864 -0.422 0.936 0.909
-0.562 0.964 0.818 -0.516 0.972 0.864 -0.478 0.980 0.909
-0.627 0.997 0.818 -0.577 1.010 0.864 -0.536 1.023 0.909
-0.692 1.028 0.818 -0.639 1.046 0.864 -0.594 1.064 0.909
-0.759 1.056 0.818 -0.702 1.080 0.864 -0.653 1.104 0.909
-0.827 1.081 0.818 -0.767 1.112 0.864 -0.714 1.142 0.909
-0.897 1.103 0.818 -0.832 1.141 0.864 -0.776 1.177 0.909
-0.967 1.121 0.818 -0.900 1.167 0.864 -0.839 1.210 0.909
-1.038 1.135 0.818 -0.968 1.189 0.864 -0.904 1.241 0.909
-1.110 1.145 0.818 -1.037 1.207 0.864 -0.970 1.268 0.909
X Y Z X Y Z X Y Z
-1.183 1.149 0.818 -1.108 1.221 0.864 -1.038 1.291 0.909
-1.256 1.147 0.818 -1.179 1.229 0.864 -1.107 1.310 0.909
-1.328 1.137 0.818 -1.251 1.230 0.864 -1.177 1.322 0.909
-1.398 1.119 0.818 -1.323 1.223 0.864 -1.248 1.326 0.909
-1.463 1.087 0.818 -1.391 1.201 0.864 -1.319 1.315 0.909
-1.329 1.379 0.955 -1.324 1.469 1.000
-1.313 1.312 0.955 -1.311 1.401 1.000
-1.260 1.264 0.955 -1.261 1.348 1.000
-1.201 1.224 0.955 -1.203 1.304 1.000
-1.140 1.186 0.955 -1.144 1.262 1.000
-1.079 1.148 0.955 -1.084 1.221 1.000
-1.019 1.110 0.955 -1.024 1.180 1.000
-0.958 1.071 0.955 -0.965 1.138 1.000
-0.899 1.031 0.955 -0.906 1.095 1.000
-0.841 0.989 0.955 -0.849 1.051 1.000
-0.783 0.947 0.955 -0.792 1.006 1.000
-0.727 0.903 0.955 -0.736 0.959 1.000
-0.671 0.858 0.955 -0.681 0.912 1.000
-0.616 0.812 0.955 -0.627 0.863 1.000
X Y Z X Y Z X Y Z
-0.562 0.765 0.955 -0.574 0.814 1.000
-0.509 0.717 0.955 -0.522 0.763 1.000
-0.457 0.668 0.955 -0.471 0.712 1.000
-0.405 0.619 0.955 -0.420 0.660 1.000
-0.354 0.569 0.955 -0.370 0.608 1.000
-0.303 0.518 0.955 -0.320 0.555 1.000
-0.253 0.466 0.955 -0.271 0.501 1.000
-0.204 0.415 0.955 -0.222 0.448 1.000
-0.155 0.363 0.955 -0.174 0.393 1.000
-0.106 0.310 0.955 -0.127 0.339 1.000
-0.058 0.257 0.955 -0.079 0.284 1.000
-0.010 0.204 0.955 -0.032 0.228 1.000
-0.038 0.150 0.955 0.015 0.173 1.000
-0.085 0.097 0.955 0.062 0.117 1.000
-0.132 0.042 0.955 0.108 0.061 1.000
-0.179 -0.012 0.955 0.154 0.005 1.000
-0.225 -0.066 0.955 0.200 -0.051 1.000
-0.272 -0.121 0.955 0.246 -0.107 1.000
-0.318 -0.176 0.955 0.292 -0.164 1.000
X Y Z X Y Z X Y Z
0.364 -0.231 0.955 0.337 -0.220 1.000
0.410 -0.286 0.955 0.382 -0.277 1.000
0.455 -0.341 0.955 0.428 -0.334 1.000
0.501 -0.396 0.955 0.473 -0.391 1.000
0.546 -0.452 0.955 0.517 -0.448 1.000
0.591 -0.507 0.955 0.562 -0.505 1.000
0.636 -0.563 0.955 0.607 -0.562 1.000
0.681 -0.619 0.955 0.652 -0.619 1.000
0.726 -0.675 0.955 0.696 -0.676 1.000
0.770 -0.731 0.955 0.740 -0.734 1.000
0.815 -0.787 0.955 0.785 -0.791 1.000
0.859 -0.843 0.955 0.829 -0.849 1.000
0.904 -0.899 0.955 0.873 -0.907 1.000
0.948 -0.955 0.955 0.917 -0.964 1.000
0.992 -1.012 0.955 0.961 -1.022 1.000
1.036 -1.068 0.955 1.005 -1.080 1.000
1.080 -1.125 0.955 1.048 -1.138 1.000
1.124 -1.181 0.955 1.092 -1.196 1.000
1.168 -1.237 0.955 1.136 -1.254 1.000
X Y Z X Y Z X Y Z
1.213 -1.294 0.955 1.179 -1.312 1.000
1.257 -1.350 0.955 1.223 -1.370 1.000
1.301 -1.407 0.955 1.266 -1.428 1.000
1.345 -1.463 0.955 1.310 -1.486 1.000
1.389 -1.520 0.955 1.354 -1.544 1.000
1.433 -1.576 0.955 1.397 -1.602 1.000
1.476 -1.633 0.955 1.441 -1.660 1.000
1.538 -1.651 0.955 1.501 -1.688 1.000
1.553 -1.589 0.955 1.523 -1.627 1.000
1.513 -1.529 0.955 1.485 -1.566 1.000
1.473 -1.470 0.955 1.445 1.505 1.000
1.433 -1.411 0.955 1.405 1.444 1.000
1.393 -1.351 0.955 1.366 -1.384 1.000
1.353 -1.292 0.955 1.326 -1.323 1.000
1.313 -1.233 0.955 1.287 -1.262 1.000
1.272 -1.173 0.955 1.247 -1.201 1.000
1.232 -1.114 0.955 1.207 -1.140 1.000
1.192 -1.055 0.955 1.167 -1.080 1.000
1.151 -0.996 0.955 1.128 -1.019 1.000
X Y Z X Y Z X Y Z
1.111 -0.937 0.955 1.088 -0.958 1.000
1.070 -0.878 0.955 1.048 -0.898 1.000
1.030 -0.819 0.955 1.008 -0.837 1.000
0.989 -0.760 0.955 0.968 -0.777 1.000
0.948 -0.701 0.955 0.927 -0.716 1.000
0.907 -0.642 0.955 0.887 -0.656 1.000
0.866 -0.584 0.955 0.846 -0.596 1.000
0.825 -0.525 0.955 0.806 -0.536 1.000
0.783 -0.467 0.955 0.765 -0.476 1.000
0.742 -0.409 0.955 0.724 -0.416 1.000
0.700 -0.350 0.955 0.682 -0.356 1.000
0.658 -0.292 0.955 0.641 -0.297 1.000
0.616 -0.235 0.955 0.599 -0.237 1.000
0.573 -0.177 0.955 0.557 -0.178 1.000
0.530 -0.120 0.955 0.515 -0.119 1.000
0.487 -0.062 0.955 0.472 -0.060 1.000
0.444 -0.005 0.955 0.429 -0.002 1.000
0.401 0.052 0.955 0.386 0.057 1.000
0.357 0.108 0.955 0.343 0.115 1.000
X Y Z X Y Z X Y Z
0.312 0.164 0.955 0.299 0.173 1.000
0.268 0.221 0.955 0.255 0.230 1.000
0.223 0.276 0.955 0.210 0.288 1.000
0.177 0.332 0.955 0.165 0.345 1.000
0.132 0.387 0.955 0.120 0.401 1.000
0.085 0.441 0.955 0.075 0.458 1.000
0.039 0.496 0.955 0.028 0.514 1.000
-0.009 0.549 0.955 -0.018 0.570 1.000
-0.057 0.603 0.955 -0.065 0.625 1.000
-0.105 0.655 0.955 -0.113 0.679 1.000
-0.154 0.708 0.955 -0.161 0.734 1.000
-0.204 0.759 0.955 -0.210 0.787 1.000
-0.254 0.810 0.955 -0.260 0.841 1.000
-0.305 0.860 0.955 -0.310 0.893 1.000
-0.357 0.910 0.955 -0.361 0.945 1.000
-0.410 0.958 0.955 -0.412 0.996 1.000
-0.463 1.006 0.955 -0.465 1.046 1.000
-0.518 1.052 0.955 -0.518 1.095 1.000
-0.573 1.097 0.955 -0.573 1.143 1.000
X Y Z X Y Z X Y Z
-0.630 1.141 0.955 -0.628 1.190 1.000
-0.687 1.184 0.955 -0.684 1.236 1.000
-0.746 1.224 0.955 -0.742 1.280 1.000
-0.807 1.263 0.955 -0.801 1.322 1.000
-0.868 1.299 0.955 -0.862 1.362 1.000
-0.932 1.333 0.955 -0.924 1.399 1.000
-0.997 1.363 0.955 -0.988 1.433 1.000
-1.063 1.389 0.955 -1.054 1.463 1.000
-1.132 1.409 0.955 -1.123 1.488 1.000
-1.203 1.421 0.955 -1.193 1.504 1.000
-1.274 1.419 0.955 -1.265 1.506 1.000
在该第四级透平叶片翼面的一种优选实施方式中，翼面前缘处的毂半径是39.521英寸。但是，Z＝0坐标值是从40.635英寸的毂半径测量的，即在翼面的前缘处。也就是，Z＝0坐标值是从毂沿着半径向外1.114英寸。从Z＝0到Z＝1.0的翼面叶片的高度是22.211英寸。
还及理解，上面表中公开的翼面可以按几何比例扩大或缩小，而应用到其它相似的透平设计中。因此，在表I中列出的坐标值可以按比例增加或减小，从而使翼面轮廓形状保持不变。通过将表I中的X和Y坐标值乘以或除以一个常数，就可以表征表I中坐标的按比例变化的版本。类似的，Z坐标值，当换算成英寸时，可以保持不变，或者乘以与X与Y坐标值相同或不同的值从而具有可量侧性。
虽然用目前认为是最实用和最优选的实施方式说明了本发明，但是应该理解的是，本发明并不局限于所公开的实施方式，相反的，本发明旨在涵盖包含在所属权利要求精神和范围内的各种改进或等同设置。
Claims (20)
1.一种透平叶片(28)，包括具有一种翼面形状的叶片翼面(36)，该翼面具有基本上按照表I中列出的X、Y和Z笛卡儿坐标值的标称轮廓，其中Z值是从0到1的无量纲值，可通过使Z值乘以以英寸表示的翼面高度而换算成以英寸表示的Z距离，且其中X和Y是以英寸表示的距离，当通过平滑连续的弧进行连接时，它们限定了每个距离Z处的翼面轮廓截面(48)，将在各Z距离处的各轮廓截面彼此平滑地连接以形成一个完整的翼面形状。
2.如权利要求1所述的透平叶片，其特征在于，其形成一透平第四级的一部分。
3.如权利要求1所述的透平叶片，其特征在于，该翼面形状位于在垂直于任意翼面表面位置的方向上±0.381cm(±0.150英寸)内的包络中。
4.如权利要求1所述的透平叶片，其特征在于，从Z＝0到Z＝1.0的叶片翼面的高度为56.416cm(22.211英寸)。
5.一种透平叶片(28)，包括一叶片翼面(36)，该叶片翼面具有基本上按照表I中列出的X、Y和Z笛卡儿坐标值的未涂敷标称翼面轮廓，其中Z值是从0到1的无量纲值，可通过使Z值乘以以英寸表示的翼面高度而换算成以英寸表示的Z距离，且其中X和Y是以英寸表示的距离，当由平滑连续的弧连接时，它们限定了在每个Z距离处的翼面轮廓截面(48)，将各Z距离处的轮廓截面彼此平滑地连接以形成一个完整的翼面形状，X和Y值可作为相同常数或数值的函数改变比例以提供按比例扩大或缩小的翼面。
6.如权利要求5所述的透平叶片，其特征在于，其形成一透平第四级的一部分。
7.如权利要求5所述的透平叶片，其特征在于，该翼面形状位于在垂直于任意翼面表面位置的方向上±0.381cm(±0.150英寸)内的包络中。
8.如权利要求5所述的透平叶片，其特征在于，从Z＝0到Z＝1.0的叶片翼面的高度为56.416cm(22.211英寸)。
9.一种透平(12)，包括具有多个叶片(28)的透平叶轮(29)，每个所述叶片包括具有一翼面形状的翼面(36)，该翼面具有基本上按照表I中列出的X、Y和Z笛卡儿坐标值的标称轮廓，其中Z值是从0到1的无量纲值，可通过使Z值乘以以英寸表示的翼面高度而换算成以英寸表示的Z距离，且其中X和Y是以英寸表示的距离，当通过平滑连续的弧进行连接时，它们限定了每个距离Z处的翼面轮廓截面(48)，将在各Z距离处的各轮廓截面彼此平滑地连接以形成一个完整的翼面形状。
10.如权利要求9所述的透平，其特征在于，该透平叶轮包括透平的第四级。
11.如权利要求9所述的透平，其特征在于，透平叶轮(29)具有88个叶片，而X代表平行于透平旋转轴线的距离。
12.如权利要求9所述的透平，其特征在于，从Z＝0到Z＝1.0的叶片翼面的高度为56.416cm(22.211英寸)。
13.如权利要求9所述的透平，其特征在于，所述透平叶轮的轴中心线与每个叶片翼面的在其前缘处的毂半径之间的径向高度为100.383cm(39.521英寸)，Z＝0.000处的无量纲Z值始自距透平叶轮的轴中心线103.213cm(40.635英寸)径向高度处。
14.如权利要求13所述的透平，其特征在于，从Z＝0到Z＝1.0的叶片翼面的高度为56.416cm(22.211英寸)。
15.一种透平(12)，包括具有多个叶片(28)的透平叶轮(29)，每个所述叶片包括一翼面(36)，具有基本上按照表I中列出的X、Y和Z笛卡儿坐标值的未涂敷标称轮廓，其中Z值是从0到1的无量纲值，可通过使Z值乘以以英寸表示的翼面高度而换算成以英寸表示的Z距离，且其中X和Y是以英寸表示的距离，当由平滑连续的弧连接时，它们限定了在每个距离Z处的翼面轮廓截面(48)，将各Z距离处的轮廓截面彼此平滑地连接以形成一个完整的翼面形状，X和Y距离可作为相同常数或数值的函数改变比例以提供按比例扩大或缩小的叶片翼面。
16.如权利要求15所述的透平，其特征在于，该透平叶轮包括透平的第四级。
17.如权利要求15所述的透平，其特征在于，透平叶轮有88个叶片，且X代表平行于透平旋转轴线的距离。
18.如权利要求15所述的透平，其特征在于，从Z＝0到Z＝1.0的叶片翼面的高度为56.416cm(22.211英寸)。
19.如权利要求15所述的透平，其特征在于，所述透平叶轮的轴中心线与每个叶片翼面的在其前缘处的毂半径之间的径向高度为100.383cm(39.521英寸)，Z＝0.000处的无量纲Z值始自距透平叶轮的轴中心线103.213cm(40.635英寸)径向高度处。
20.如权利要求19所述的透平，其特征在于，从Z＝0到Z＝1.0的叶片翼面的高度为56.416cm(22.211英寸)。
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| US7186090B2 (en) * | 2004-08-05 | 2007-03-06 | General Electric Company | Air foil shape for a compressor blade |
| ITMI20041804A1 (it) * | 2004-09-21 | 2004-12-21 | Nuovo Pignone Spa | Pala di un rutore di un primo stadio di una turbina a gas |
| US20060216144A1 (en) | 2005-03-28 | 2006-09-28 | Sullivan Michael A | First and second stage turbine airfoil shapes |
| FR2889308B1 (fr) * | 2005-07-28 | 2007-10-05 | Snecma | Controle des aubes de turbomachine |
| US7632072B2 (en) * | 2005-12-29 | 2009-12-15 | Rolls-Royce Power Engineering Plc | Third stage turbine airfoil |
| WO2008035135A2 (en) * | 2005-12-29 | 2008-03-27 | Rolls-Royce Power Engineering Plc | First stage turbine airfoil |
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-
2003
- 2003-07-18 US US10/621,460 patent/US6884038B2/en not_active Expired - Fee Related
-
2004
- 2004-07-16 RU RU2004121998/06A patent/RU2350756C2/ru not_active IP Right Cessation
- 2004-07-16 EP EP04254293A patent/EP1498577A3/en not_active Withdrawn
- 2004-07-16 JP JP2004209683A patent/JP2005042716A/ja not_active Withdrawn
- 2004-07-19 KR KR1020040055880A patent/KR100880293B1/ko not_active IP Right Cessation
- 2004-07-19 CN CNB2004100794553A patent/CN100359135C/zh not_active Expired - Fee Related
Cited By (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN104420887A (zh) * | 2013-08-30 | 2015-03-18 | 哈尔滨汽轮机厂有限责任公司 | 一种燃气轮机的透平机 |
| CN104420887B (zh) * | 2013-08-30 | 2016-06-15 | 哈尔滨汽轮机厂有限责任公司 | 一种燃气轮机的透平机 |
Also Published As
| Publication number | Publication date |
|---|---|
| KR20050009957A (ko) | 2005-01-26 |
| JP2005042716A (ja) | 2005-02-17 |
| US20050013695A1 (en) | 2005-01-20 |
| CN100359135C (zh) | 2008-01-02 |
| RU2004121998A (ru) | 2006-01-20 |
| US6884038B2 (en) | 2005-04-26 |
| EP1498577A2 (en) | 2005-01-19 |
| EP1498577A3 (en) | 2012-04-25 |
| KR100880293B1 (ko) | 2009-01-23 |
| RU2350756C2 (ru) | 2009-03-27 |
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