CN101173679A - 用于压缩机的翼面形状 - Google Patents

用于压缩机的翼面形状 Download PDF

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CN101173679A
CN101173679A CNA2007101670956A CN200710167095A CN101173679A CN 101173679 A CN101173679 A CN 101173679A CN A2007101670956 A CNA2007101670956 A CN A2007101670956A CN 200710167095 A CN200710167095 A CN 200710167095A CN 101173679 A CN101173679 A CN 101173679A
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aerofoil
wide type
compressor
inch
goods
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C·麦戈万
P·戴弗诺伊斯
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General Electric Co
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    • F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F04—POSITIVE - DISPLACEMENT MACHINES FOR LIQUIDS; PUMPS FOR LIQUIDS OR ELASTIC FLUIDS
    • F04D—NON-POSITIVE-DISPLACEMENT PUMPS
    • F04D29/00—Details, component parts, or accessories
    • F04D29/26—Rotors specially for elastic fluids
    • F04D29/32—Rotors specially for elastic fluids for axial flow pumps
    • F04D29/321—Rotors specially for elastic fluids for axial flow pumps for axial flow compressors
    • F04D29/324—Blades
    • 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
    • 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
    • F05D2250/70—Shape
    • F05D2250/74—Shape given by a set or table of xyz-coordinates
    • 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
    • Y10—TECHNICAL SUBJECTS COVERED BY FORMER USPC
    • 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
    • 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
    • Y10—TECHNICAL SUBJECTS COVERED BY FORMER USPC
    • Y10S—TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y10S416/00—Fluid reaction surfaces, i.e. impellers
    • Y10S416/05—Variable camber or chord length

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  • Engineering & Computer Science (AREA)
  • Mechanical Engineering (AREA)
  • General Engineering & Computer Science (AREA)
  • Physics & Mathematics (AREA)
  • Fluid Mechanics (AREA)
  • Developing Agents For Electrophotography (AREA)
  • Structures Of Non-Positive Displacement Pumps (AREA)
  • Materials For Photolithography (AREA)
  • Turbine Rotor Nozzle Sealing (AREA)

Abstract

本发明提供了用于压缩机的翼面形状。具体而言，本发明提供了这样的制品，其具有与在表1中列出的笛卡儿坐标值X、Y和Z基本一致的标称廓型。其中X和Y是以英寸表示的距离，当通过平滑连续的弧连接时，其在每一个用英寸表示的距离Z处限定了翼面廓型分段。在Z距离处的廓型分段相互平滑地接合以形成完整的翼面形状(22，23)。

Description

用于压缩机的翼面形状
技术领域
本发明涉及以下GE档案号：分别在2006年10月25日和在2006年11月2日(219748)提交的219734、219747、219748、219749和219750。
本发明涉及用于燃气涡轮转子叶片的翼面。特别地，本发明涉及用于各级压缩机的压缩机翼面廓型。特别地，本发明涉及在各级压缩机用于入口导向叶片、转子或定子的压缩机翼面廓型。
背景技术
在燃气涡轮中，在各级燃气涡轮流路部分许多系统要求应该得以满足以达到设计目标。这些设计目标包括但不限于全面提高的效率和翼面负载量。例如(这决不是对本发明的限制)，压缩机定子叶片对于特定的级应该实现热和机械操作要求。进一步地，例如(这决不是对本发明的限制)，压缩机转子叶片对于特定的级应该实现热和机械操作要求。
发明内容
根据当前发明的一个示例性方面，一件制品具有与在表1中列出的笛卡儿坐标值X、Y和Z基本上一致的标称廓型。其中X和Y是以英寸表示的距离，当通过平滑连续的弧连接时，其在每一个以英寸表示的距离Z处限定翼面廓型分段。在Z距离处的廓型分段相互平滑地接合以形成完整的翼面形状。
根据当前发明的另一个示例性方面，压缩机包括压缩机轮。压缩机轮具有多件制品。每件制品包括具有翼面形状的翼面。翼面包括与在表1中列出的笛卡儿坐标值X、Y和Z基本上一致的标称廓型，其中X和Y是以英寸表示的距离，当通过平滑连续的弧连接时，其在每一个以英寸表示的距离Z处限定翼面廓型分段。在Z距离处的廓型分段相互平滑地接合以形成完整的翼面形状。
根据当前发明的另一个示例性方面，压缩机包括具有多件制品的压缩机轮。每件制品包括翼面，其具有与在表1中列出的笛卡儿坐标值X、Y和Z基本上一致的无涂层的标称翼面廓型，其中X和Y是以英寸表示的距离，当通过平滑连续的弧连接时，其在每一个以英寸表示的距离Z处限定翼面廓型分段。在Z距离处的廓型分段相互平滑的地接合以形成完整的翼面形状。
附图说明
图1是通过多级燃气涡轮的压缩机流路的示意性示例说明，并显示了根据本发明实施例的示例的翼面；
图2和图3分别是根据本发明实施例的转子叶片的透视示例图，该转子叶片翼面显示为与其平台以及其基本上或靠近轴向入口的楔形榫接相连接。
图4和图5是图2中转子叶片以及相关的平台和楔形榫接的侧面正视图，分别从翼面的压力和吸力侧面沿大致圆周方向进行观察；
图6是在图5中大致沿线6-6截取的转子叶片翼面的截面图；
图7是根据本发明示例实施例的转子叶片的透视图，并有坐标系统叠加其上；以及
图8是根据本发明示例实施例的定子叶片的透视图，并有坐标系统叠加其上。
部件列表
轴向压缩机流路1
燃气涡轮压缩机2
圆周间隔的转子叶片22
转子轮51
圆周间隔的定子叶片23
静态压缩机壳体59
尾部传动轴58
气流方向箭头60
平台61
轴向入口楔形榫62
转子叶片翼面63
转子叶片翼面廓型66
翼面根部64
转子叶片顶部65
廓型分段66
具体实施方式
现在参考附图，图1显示了包括多个压缩机级的燃气涡轮压缩机2的轴向压缩机流路1。在该图中压缩机级是按顺序编号的。压缩机流路包括任意数目的转子级和定子级，如18个。然而，转子级和定子级的准确数目是工程设计的选择。如本发明所说明，可以在燃烧室内提供任何数目的转子级和定子级。17个转子级仅仅是一种涡轮设计的示例。18个转子级不是旨在以任何方式限制本发明。
压缩机转子叶片将动能传给气流并因此在压缩机内产生所想要的压力上升。紧跟在转子翼面之后的是一级定子翼面。转子翼面和定子翼面都转变气流，减慢气流速度(在各自的翼面参考系中)，并使气流静态压力上升。翼面结构(连同其与周围翼面的相互作用)包括其外围表面提供了级气流效率、增强的航空动力学、逐级平滑的层流、减少的热应力、增强的级间的相互联系以逐级有效地通过气流，和减少的机械应力，以及本发明其它所想要的方面。一般地，将多排转子/定子级层叠在轴流压缩机内以取得所想要的输出压力对输入压力的比率。可以将转子和定子翼面通过合适的附加结构，通常所谓的“根部”、“底部”或＂楔形榫＂(见图2-5)，固定到转子轮或定子壳体上。
图1中示例显示了压缩机级2。该压缩机级2包括安装在转子轮51上的多个圆周间隔的转子叶片22和附接到静态压缩机壳体59上的多个圆周间隔的定子叶片23。将各转子轮附接到尾部传动轴58，其连接到发动机的涡轮部分。转子叶片和定子叶片位于压缩机流路1。如本发明所说明，通过压缩机流路1的气流方向由箭头60(图1)指出。此压缩机级2仅是在本发明范围内对该压缩机级2的示例说明。所说明和描述的该压缩机级2不是旨在以任何方式限制本发明。
将转子叶片22安装在转子轮51上，形成了尾部传动轴58的一部分。如在图2-6中所显示的，各转子叶片22带有平台61，和基本上或靠近轴向入口楔形榫62，用于与转子轮51上的互补形配合楔形榫(未显示)连接。然而，如本发明所说明，轴向入口楔形榫可带有翼面廓型。各转子叶片22包括如图2-6所示的转子叶片翼面63。因此，从平台61中点的翼面根部64到转子叶片顶部65的任意截面，各转子叶片22具有大致为机翼形状(图6)的转子叶片翼面廓型66。
为了限定转子叶片翼面的翼面形状，在空间上提供了独特的一组点或位置点。这个独特的一组点或位置点满足级的要求，所以可以制造级。这些独特的位置点也满足了级效率以及减少热应力和机械应力所需的要求。这些独特的位置点通过空气动力学和机械负载之间的迭代达到，使得压缩机能够以有效、安全和平滑的方式运行。
如本发明所说明的这些位置，限定了转子叶片翼面廓型并且能够包括相对于发动机旋转轴线的一组点。例如，可以提供一组点以限定转子叶片翼面廓型。
下表中给出的笛卡儿坐标系的X、Y和Z值沿其长度在不同位置限定了转子叶片的翼面廓型。如本发明所说明，翼面可以作为第一级翼面可调定子叶片应用。X、Y和Z坐标的坐标值以英寸表示，但这些值经过适当转换后，可以使用其它尺寸单位表示。这些值不包括平台的带状区域。笛卡儿坐标系具有垂直关系的X、Y和Z轴。X轴线平行于压缩机叶片的楔形榫轴线，其相对发动机中心线成一角度，如图7所示的转子以及图8的定子。X坐标正值是轴向朝尾部，例如压缩机的排气端。Y坐标正值垂直于楔形榫轴线。Z坐标正值径向朝外指向翼面顶部，对于转子叶片其朝向压缩机的静态壳体，且对于定子叶片其径向向内指向压缩机的发动机中心线。
仅用作参考目的，如图5所示，沿层叠轴线通过翼面和平台的交叉点建立0点。在此翼面的示例实施例中，定义0点作为参考部分，在此，上表中的Z坐标位于0.000英寸，这是始自发动机或转子中心线的预设距离。
在垂直于X、Y平面的Z方向上，通过在选定位置限定X和Y坐标值，沿翼面长度在每一个Z距离处可以确定转子叶片翼面的廓型分段，例如但不限于图6中的廓型分段66。通过用平滑连续的弧连接X值和Y值，可以确定在每一个距离Z处的每一个廓型分段66。通过将相临的廓型分段66相互平滑地连接，确定在距离Z之间的各种表面位置的翼面廓型，从而形成翼面廓型。这些值代表了在周围非操作或非加热条件下的翼面廓型并且是针对无涂层的翼面。
生成表中的值并显示到三个小数位用以确定翼面廓型。也存在一般制造公差和涂层，这在实际的翼面廓型中应该加以考虑。因此，给定的剖面值是用于标称翼面。因此可以理解，可以将+/-一般制造公差，例如+/-值(包括任意涂层厚度)增加到X和Y值。因此，在垂直于沿翼面廓型的任何表面位置的方向上，大约+/-0.160英寸的距离限定了翼面廓型的包络，用于转子叶片翼面设计和压缩机。换句话说，在垂直于沿翼面廓型的任何表面位置的方向上，大约+/-0.160英寸的距离限定了在测量点和这些点的理想位置之间的变化范围，测量点是在标称低温或室内温度下在实际翼面表面上的点，理想位置则是在相同的温度下如本发明所说明的位置。如本发明所说明的转子叶片翼面设计，对于这种变化范围是稳健，不会损害机械和空气动力学功能。
下表1中给出的坐标值提供了标称廓型包络，用于示例的第一级翼面可调定子叶片。
表1
    X位置     Y位置     Z位置     X位置     Y位置     Z位置     X位置     Y位置     Z位置
    3.117     -2.448     0.093     -1.832     0.842     0.093     -0.887     0.634     0.093
    3.116     -2.451     0.093     -1.925     0.997     0.093     -0.741     0.484     0.093
    3.114     -2.457     0.093     -2.011     1.148     0.093     -0.59     0.331     0.093
    3.106     -2.467     0.093     -2.084     1.288     0.093     -0.437     0.178     0.093
    3.09     -2.477     0.093     -2.148     1.417     0.093     -0.284     0.027     0.093
    3.057     -2.476     0.093     -2.2     1.535     0.093     -0.13     -0.124     0.093
    3.012     -2.467     0.093     -2.244     1.641     0.093     0.025     -0.273     0.093
    2.952     -2.454     0.093     -2.279     1.734     0.093     0.182     -0.421     0.093
    2.878     -2.438     0.093     -2.306     1.813     0.093     0.34     -0.567     0.093
    2.782     -2.415     0.093     -2.327     1.882     0.093     0.499     -0.712     0.093
    2.672     -2.387     0.093     -2.342     1.94     0.093     0.66     -0.854     0.093
    2.555     -2.355     0.093     -2.353     1.988     0.093     0.824     -0.993     0.093
    2.424     -2.317     0.093     -2.359     2.028     0.093     0.989     -1.13     0.093
    2.281     -2.271     0.093     -2.36     2.058     0.093     1.157     -1.264     0.093
    2.124     -2.218     0.093     -2.357     2.081     0.093     1.323     -1.391     0.093
    1.961     -2.159     0.093     -2.351     2.1     0.093     1.485     -1.51     0.093
    1.794     -2.094     0.093     -2.343     2.112     0.093     1.644     -1.622     0.093
    1.62     -2.022     0.093     -2.334     2.12     0.093     1.799     -1.726     0 093
    1.442     -1.943     0.093     -2.324     2.124     0.093     1.952     -1.823     0.093
    1.258     -1.858     0.093     -2.309     2.125     0.093     2.101     -1.913     0.093
    1.07     -1.764     0.093     -2.291     2.121     0.093     2.245     -1.996     0.093
    0.877     -1.661     0.093     -2.272     2.113     0.093     2.385     -2.072     0.093
    0.68     -1.55     0.093     -2.247     2.097     0.093     2.514     -2.138     0.093
    0.486     -1.433     0.093     -2.218     2.074     0.093     2.631     -2.195     0.093
    0.294     -1.311     0.093     -2.184     2.043     0.093     2.736     -2.244     0.093
    0.107     -1.184     0.093     -2.143     2.003     0.093     2.835     -2.288     0.093
    -0.076     -1.052     0.093     -2.096     1.954     0.093     2.922     -2.325     0.093
    -0.255     -0.915     0.093     -2.042     1.896     0.093     2.989     -2.353     0.093
    -0.429     -0.773     0.093     -1.979     1.827     0.093     3.043     -2.375     0.093
    -0.599     -0.625     0.093     -1.907     1.747     0.093     3.083     -2.391     0.093
    -0.763     -0.472     0.093     -1.825     1.656     0.093     3.109     -2.409     0.093
    -0.924     -0.314     0.093     -1.734     1.554     0.093     3.117     -2.425     0.093
    -1.079     -0.15     0.093     -1.633     1.442     0.093     3.118     -2.437     0.093
    -1.229     0.02     0.093     -1.523     1.319     0.093     3.118     -2.442     0.093
    -1.37     0.189     0.093     -1.407     1.191     0.093     3.117     -2.445     0.093
    -1.5     0.357     0.093     -1.286     1.058     0.093     3.117     -2.447     0.093
    -1.62     0.522     0.093     -1.159     0.921     0.093
    -1.73     0.684     0.093     -1.026     0.779     0.093
    X位置     Y位置     Z位置     X位置     Y位置     Z位置     X位置     Y位置     Z位置
    3.246     -1.58     2.144     -1.68     1.158     2.144     -0.808     1.015     2.144
    3.245     -1.59     2.144     -1.788     1.29     2.144     -0.652     0.893     2.144
    3.243     -1.59     2.144     -1.887     1.419     2.144     -0.489     0.769     2.144
    3.236     -1.60     2.144     -1.975     1.54     2.144     -0.325     0.646     2.144
    3.22     -1.61     2.144     -2.051     1.651     2.144     -0.159     0.525     2.144
    3.189     -1.61     2.144     -2.117     1.753     2.144     0.007     0.406     2.144
    3.147     -1.60     2.144     -2.172     1.844     2.144     0.175     0.288     2.144
    3.091     -1.59     2.144     -2.218     1.924     2.144     0.343     0.171     2.144
    3.022     -1.57     2.144     -2.256     1.994     2.144     0.511     0.053     2.144
    2.932     -1.55     2.144     -2.286     2.053     2.144     0.678     -0.065     2.144
    2.828     -1.52     2.144     -2.309     2.105     2.144     0.847     -0.182     2.144
    2.718     -1.49     2.144     -2.326     2.148     2.144     1.015     -0.298     2.144
    2.594     -1.46     2.144     -2.338     2.183     2.144     1.185     -0.413     2.144
    2.456     -1.42     2.144     -2.345     2.211     2.144     1.356     -0.526     2.144
    2.305     -1.38     2.144     -2.347     2.232     2.144     1.522     -0.634     2.144
    2.148     -1.33     2.144     -2.345     2.25     2.144     1.683     -0.737     2.144
    1.985     -1.28     2.144     -2.34     2.263     2.144     1.841     -0.833     2.144
    1.816     -1.22     2.144     -2.332     2.271     2.144     1.993     -0.924     2.144
    1.641     -1.16     2.144     -2.323     2.275     2.144     2.142     -1.009     2.144
    1.461     -1.09     2.144     -2.309     2.276     2.144     2.285     -1.088     2.144
    1.275     -1.01     2.144     -2.293     2.273     2.144     2.424     -1.162     2.144
    1.085     -0.93     2.144     -2.274     2.265     2.144     2.558     -1.231     2.144
    0.891     -0.84     2.144     -2.25     2.251     2.144     2.68     -1.291     2.144
    0.698     -0.75     2.144     -2.221     2.23     2.144     2.791     -1.344     2 144
    0.509     -0.65     2.144     -2.187     2.202     2.144     2.891     -1.39     2.144
    0.322     -0.55     2.144     -2.145     2.168     2.144     2.984     -1.433     2.144
    0.14     -0.44     2.144     -2.097     2.125     2.144     3.065     -1.468     2.144
    -0.038     -0.32     2.144     -2.042     2.074     2.144     3.128     -1.496     2.144
    -0.211     -0.20     2.144     -1.976     2.015     2.144     3.179     -1.517     2.144
    -0.379     -0.07     2.144     -1.9     1.946     2.144     3.216     -1.533     2.144
    -0.545     0.05     2.144     -1.814     1.868     2.144     3.24     -1.552     2.144
    -0.707     0.18     2.144     -1.717     1.781     2.144     3.246     -1.568     2.144
    -0.867     0.32     2.144     -1.61     1.686     2.144     3.247     -1.579     2.144
    -1.023     0.46     2.144     -1.492     1.582     2.144     3.247     -1.584     2.144
    -1.171     0.60     2.144     -1.367     1.475     2.144     3.246     -1.587     2.144
    -1.31     0.74     2.144     -1.237     1.365     2.144     3.246     -1.588     2.144
    -1.441     0.88     2.144     -1.1     1.251     2.144
    -1.564     1.02     2.144     -0.957     1.135     2.144
    X位置     Y位置     Z位置     X位置     Y位置     Z位置     X位置     Y位置     Z位置
    3.201     -0.6     4.195     -1.624     1.776     4.195     -0.819     1.648     4.195
    3.2     -0.63     4.195     -1.735     1.895     4.195     -0.664     1.539     4.195
    3.198     -0.63     4.195     -1.839     2.012     4.195     -0.502     1.428     4.195
    3.191     -0.64     4.195     -1.931     2.122     4.195     -0.338     1.32     4.195
    3.177     -0.65     4.195     -2.012     2.223     4.195     -0.174     1.213     4.195
    3.147     -0.65     4.195     -2.081     2.315     4.195     -0.008     1.108     4.195
    3.106     -0.64     4.195     -2.14     2.398     4.195     0.159     1.005     4.195
    3.053     -0.63     4.195     -2.19     2.471     4.195     0.328     0.904     4.195
    2.986     -0.62     4.195     -2.231     2.534     4.195     0.497     0.805     4.195
    2.899     -0.60     4.195     -2.265     2.588     4.195     0.667     0.706     4.195
    2.799     -0.58     4.195     -2.291     2.635     4.195     0.837     0.607     4.195
    2.693     -0.56     4.195     -2.311     2.675     4.195     1.007     0.508     4.195
    2.573     -0.53     4.195     -2.325     2.707     4.195     1.177     0.409     4.195
    2.44     -0.50     4.195     -2.335     2.733     4.195     1.347     0.312     4.195
    2.294     -0.47     4.195     -2.339     2.753     4.195     1.513     0.218     4.195
    2.142     -0.43     4.195     -2.339     2.77     4.195     1.673     0.13     4.195
    1.983     -0.39     4.195     -2.336     2.784     4.195     1.829     0.046     4.195
    1.819     -0.34     4.195     -2.33     2.792     4.195     1.98     -0.034     4.195
    1.65     -0.29     4.195     -2.321     2.796     4.195     2.126     -0.108     4.195
    1.475     -0.24     4.195     -2.308     2.796     4.195     2.267     -0.178     4.195
    1.294     -0.17     4.195     -2.292     2.793     4.195     2.402     -0.244     4.195
    1.11     -0.10     4.195     -2.274     2.785     4.195     2.533     -0.305     4.195
    0.921     -0.03     4.195     -2.251     2.772     4.195     2.652     -0.358     4.195
    0.734     0.05     4.195     -2.223     2.752     4.195     2.76     -0.406     4.195
    0.551     0.14     4.195     -2.189     2.727     4.195     2.857     -0.447     4.195
    0.37     0.23     4.195     -2.149     2.694     4.195     2.948     -0.485     4.195
    0.194     0.33     4.195     -2.101     2.655     4.195     3.026     -0.517     4.195
    0.021     0.44     4.195     -2.047     2.608     4.195     3.087     -0.542     4.195
    -0.149     0.55     4.195     -1.982     2.553     4.195     3.136     -0.562     4.195
    -0.316     0.66     4.195     -1.907     2.489     4.195     3.172     -0.576     4.195
    -0.48     0.78     4.195     -1.821     2.418     4.195     3.195     -0.594     4.195
    -0.642     0.90     4.195     -1.725     2.339     4.195     3.201     -0.609     4.195
    -0.801     1.02     4.195     -1.619     2.252     4.195     3.202     -0.619     4.195
    -0.958     1.15     4.195     -1.501     2.158     4.195     3.202     -0.625     4.195
    -1.106     1.28     4.195     -1.377     2.061     4.195     3.201     -0.627     4.195
    -1.247     1.40     4.195     -1.247     1.962     4.195     3.201     -0.628     4.195
    -1.38     1.53     4.195     -1.111     1.86     4.195
    -1.506     1.65     4.195     -0.968     1.755     4.195
    X位置     Y位置     Z位置     X位置     Y位置     Z位置     X位置     Y位置     Z位置
    3.11     0.14     6.246     -1.589     2.297     6.246     -0.833     2.184     6.246
    3.109     0.13     6.246     -1.702     2.405     6.246     -0.68     2.084     6.246
    3.107     0.13     6.246     -1.807     2.512     6.246     -0.521     1.983     6.246
    3.101     0.12     6.246     -1.901     2.612     6.246     -0.36     1.884     6.246
    3.087     0.11     6.246     -1.984     2.704     6.246     -0.199     1.787     6.246
    3.058     0.11     6.246     -2.056     2.788     6.246     -0.036     1.692     6.246
    3.02     0.11     6.246     -2.118     2.863     6.246     0.128     1.598     6.246
    2.968     0.12     6.246     -2.17     2.93     6.246     0.294     1.507     6.246
    2.904     0.13     6.246     -2.214     2.988     6.246     0.46     1.418     6.246
    2.82     0.15     6.246     -2.249     3.038     6.246     0.628     1.331     6.246
    2.724     0.17     6.246     -2.277     3.081     6.246     0.795     1.244     6.246
    2.621     0.18     6.246     -2.299     3.118     6.246     0.963     1.157     6.246
    2.506     0.21     6.246     -2.315     3.147     6.246     1.131     1.07     6.246
    2.378     0.23     6.246     -2.326     3.171     6.246     1.299     0.984     6.246
    2.238     0.26     6.246     -2.331     3.19     6.246     1.461     0.901     6.246
    2.091     0.29     6.246     -2.333     3.207     6.246     1.619     0.822     6.246
    1.939     0.33     6.246     -2.331     3.22     6.246     1.772     0.747     6.246
    1.78     0.37     6.246     -2.326     3.228     6.246     1.919     0.676     6.246
    1.617     0.41     6.246     -2.318     3.232     6.246     2.062     0.609     6.246
    1.448     0.46     6.246     -2.305     3.233     6.246     2.199     0.546     6.246
    1.274     0.52     6.246     -2.29     3.229     6.246     2.332     0.488     6.246
    1.095     0.58     6.246     -2.272     3.222     6.246     2.459     0.433     6.246
    0.913     0.65     6.246     -2.25     3.21     6.246     2.575     0.385     6.246
    0.733     0.7     6.246     -2.223     3.192     6.246     2.681     0.343     6.246
    0.555     0.81     6.246     -2.189     3.169     6.246     2.774     0.306     6.246
    0.38     0.89     6.246     -2.149     3.139     6.246     2.863     0.272     6.246
    0.209     0.99     6.246     -2.102     3.103     6.246     2.939     0.243     6.246
    0.04     1.08     6.246     -2.048     3.061     6.246     2.998     0.222     6.246
    -0.127     1.18     6.246     -1.983     3.01     6.246     3.046     0.204     6.246
    -0.291     1.28     6.246     -1.908     2.952     6.246     3.081     0.191     6.246
    -0.453     1.39     6.246     -1.823     2.887     6.246     3.104     0.175     6.246
    -0.612     1.50     6.246     -1.728     2.815     6.246     3.11     0.161     6.246
    -0.769     1.61     6.246     -1.622     2.736     6.246     3.111     0.151     6.246
    -0.924     1.73     6.246     -1.506     2.65     6.246     3.111     0.146     6.246
    -1.072     1.84     6.246     -1.383     2.562     6.246     3.11     0.143     6.246
    -1.212     1.96     6.246     -1.255     2.471     6.246     3.11     0.142     6.246
    -1.345     2.07     6.246     -1.12     2.377     6.246
    -1.47     2.18     6.246     -0.98     2.282     6.246
    X位置     Y位置     Z位置     X位置     Y位置     Z位置     X位置     Y位置     Z位置
    3.006     0.54     8.297     -1.569     2.501     8.297     -0.847     2.405     8.297
    3.006     0.5     8.297     -1.682     2.6     8.297     -0.697     2.314     8.297
    3.004     0.53     8.297     -1.788     2.698     8.297     -0.54     2.221     8.297
    2.998     0.52     8.297     -1.883     2.79     8.297     -0.383     2.13     8.297
    2.986     0.51     8.297     -1.967     2.874     8.297     -0.224     2.041     8.297
    2.959     0.51     8.297     -2.04     2.952     8.297     -0.065     1.953     8.297
    2.921     0.51     8.297     -2.103     3.021     8.297     0.095     1.867     8.297
    2.872     0.52     8.297     -2.157     3.083     8.297     0.257     1.783     8.297
    2.809     0.53     8.297     -2.201     3.136     8.297     0.419     1.701     8.297
    2.729     0.54     8.297     -2.237     3.182     8.297     0.582     1.62     8.297
    2.636     0.5     8.297     -2.266     3.223     8.297     0.746     1.541     8.297
    2.537     0.57     8.297     -2.289     3.257     8.297     0.91     1.462     8.297
    2.425     0.59     8.297     -2.306     3.285     8.297     1.074     1.382     8.297
    2.302     0.61     8.297     -2.317     3.307     8.297     1.238     1.304     8.297
    2.166     0.64     8.297     -2.324     3.325     8.297     1.397     1.228     8.297
    2.025     0.67     8.297     -2.327     3.34     8.297     1.551     1.156     8.297
    1.878     0.70     8.297     -2.326     3.353     8.297     1.7     1.088     8.297
    1.725     0.73     8.297     -2.321     3.361     8.297     1.844     1.023     8.297
    1.567     0.77     8.297     -2.313     3.365     8.297     1.983     0.963     8.297
    1.404     0.82     8.297     -2.301     3.366     8.297     2.118     0.906     8.297
    1.236     0.87     8.297     -2.286     3.363     8.297     2.247     0.853     8.297
    1.063     0.93     8.297     -2.269     3.357     8.297     2.371     0.804     8.297
    0.886     0.99     8.297     -2.247     3.345     8.297     2.484     0.761     8.297
    0.712     1.06     8.297     -2.221     3.329     8.297     2.587     0.723     8.297
    0.539     1.1     8.297     -2.188     3.307     8.297     2.678     0.69     8.297
    0.37     1.2     8.297     -2.148     3.28     8.297     2.764     0.661     8.297
    0.203     1.30     8.297     -2.102     3.247     8.297     2.839     0.636     8.297
    0.038     1.39     8.297     -2.048     3.207     8.297     2.897     0.617     8.297
    -0.124     1.48     8.297     -1.984     3.161     8.297     2.943     0.602     8.297
    -0.285     1.57     8.297     -1.909     3.109     8.297     2.978     0.591     8.297
    -0.444     1.67     8.297     -1.825     3.049     8.297     3     0.575     8.297
    -0.601     1.77     8.297     -1.73     2.983     8.297     3.006     0.562     8.297
    -0.755     1.87     8.297     -1.626     2.911     8.297     3.008     0.552     8.297
    -0.908     1.98     8.297     -1.51     2.833     8.297     3.007     0.547     8.297
    -1.054     2.08     8.297     -1.389     2.751     8.297     3.007     0.545     8.297
    -1.193     2.19     8.297     -1.262     2.668     8.297     3.007     0.544     8.297
    -1.325     2.29     8.297   -1.13     2.582     8.297
    -1.45     2.     8.297   -0.991     2.495     8.297
    X位置     Y位置     Z位置     X位置     Y位置     Z位置     X位置     Y位置     Z位置
    2.89     0.55     10.348     -1.561     2.371     10.348     -0.869     2.281     10.348
    2.889     0.55     10.348     -1.672     2.463     10.348     -0.722     2.195     10.348
    2.888     0 55     10.348     -1.777     2.554     10.348     -0.569     2.108     10.348
    2.882     0.54     10.348     -1.872     2.639     10.348     -0.415     2.023     10.348
    2.871     0.53     10.348     -1.955     2.717     10.348     -0.261     1.939     10.348
    2.844     0.52     10.348     -2.028     2.789     10.348     -0.106     1.856     10.348
    2.808     0.53     10.348     -2.091     2.855     10.348     0.05     1.775     10.348
    2.76     0.53     10.348     -2.145     2.912     10.348     0.207     1.696     10.348
    2.7     0.54     10.348     -2.189     2.962     10.348     0.365     1.618     10.348
    2.622     0.55     10.348     -2.225     3.006     10.348     0.524     1.542     10.348
    2.532     0.56     10.348     -2.254     3.044     10.348     0.683     1.468     10.348
    2.437     0.58     10.348     -2.277     3.076     10.348     0.843     1.393     10.348
    2.329     0.59     10.348     -2.294     3.103     10.348     1.002     1.32     10.348
    2.21     0.61     10.348     -2.306     3.124     10.348     1.162     1.246     10.348
    2.079     0.63     10.348     -2.313     3.141     10.348     1.317     1.176     10.348
    1.942     0.66     10.348     -2.316     3.156     10.348     1.467     1.11     10.348
    1.8     0.69     10.348     -2.316     3.168     10.348     1.613     1.047     10.348
    1.652     0.72     10.348     -2.311     3.176     10.348     1.753     0.988     10.348
    1.5     0.76     10.348     -2.304     3.18     10.348     1.889     0.933     10.348
    1.342     0.80     10.348     -2.292     3.181     10.348     2.02     0.882     10.348
    1.179     0.85     10.348     -2.278     3.178     10.348     2.147     0.834     10.348
    1.012     0.90     10.348     -2.262     3.171     10.348     2.268     0.791     10.348
    0.842     0.96     10.348     -2.241     3.16     10.348     2.379     0.752     10.348
    0.673     1.02     10.348     -2.215     3.144     10.348     2.479     0.719     10.348
    0.506     1.09     10.348     -2.183     3.123     10.348     2.569     0.691     10.348
    0.342     1.17     10.348     -2.145     3.097     10.348     2.653     0.665     10.348
    0.179     1.25     10.348     -2.099     3.066     10.348     2.726     0.643     10.348
    0.018     1.33     10.348     -2.047     3.029     10.348     2.782     0.627     10.348
    -0.141     1.42     10.348     -1.984     2.985     10.348     2.827     0.614     10.348
    -0.298     1.5     10.348     -1.911     2.936     10.348     2.861     0.604     10.348
    -0.453     1.60     10.348     -1.829     2.88     10.348     2.883     0.59     10.348
    -0.607     1.69     10.348     -1.736     2.819     10.348     2.889     0.577     10.348
    -0.759     1.79     10.348     -1.632     2.752     10.348     2.891     0.568     10.348
    -0.909     1.8     10.348     -1.519     2.679     10.348     2.891     0.563     10.348
    -1.052     1.98     10.348     -1.4     2.604     10.348     2.89     0.561     10.348
    -1.189     2.08     10.348     -1.275     2.526     10.348     2.89     0.56     10.348
    -1.319     2.18     10.348     -1.145     2.446     10.348
    -1.443     2.27     10.348     -1.01     2.365     10.348
    X位置     Y位置     Z位置     X位置     Y位置     Z位置     X位置     Y位置     Z位置
    2.762     0.32     12.399     -1.552     2.021     12.399     -0.897     1.927     12.399
    2.762     0.31     12.399     -1.661     2.109     12.399     -0.754     1.845     12.399
    2.76     0.31     12.399     -1.765     2.196     12.399     -0.606     1.761     12.399
    2.756     0.30     12.399     -1.857     2.277     12.399     -0.458     1.679     12.399
    2.745     0.29     12.399     -1.94     2.352     12.399     -0.308     1.598     12.399
    2.719     0.29     12.399     -2.012     2.421     12.399     -0.158     1.518     12.399
    2.684     0.29     12.399     -2.074     2.483     12.399     -0.007     1.441     12.399
    2.638     0.29     12.399     -2.126     2.538     12.399     0.145     1.365     12.399
    2.58     0.30     12.399     -2.17     2.586     12.399     0.299     1.291     12.399
    2.504     0.31     12.399     -2.206     2.628     12.399     0.453     1.219     12.399
    2.417     0.32     12.399     -2.235     2.664     12.399     0.608     1.149     12.399
    2.325     0.33     12.399     -2.257     2.695     12.399     0.763     1.079     12.399
    2.221     0.3     12.399     -2.274     2.72     12.399     0.919     1.01     12.399
    2.106     0.36     12.399     -2.286     2.741     12.399     1.075     0.942     12.399
    1.98     0.38     12.399     -2.294     2.757     12.399     1.226     0.877     12.399
    1.848     0.4     12.399     -2.298     2.771     12.399     1.372     0.816     12.399
    1.712     0.43     12.399     -2.298     2.783     12.399     1.514     0.759     12.399
    1.57     0.46     12.399     -2.294     2.791     12.399     1.652     0.705     12.399
    1.424     0.49     12.399     -2.287     2.795     12.399     1.785     0.655     12.399
    1.272     0.53     12.399     -2.276     2.795     12.399     1.913     0.609     12.399
    1.117     0.58     12.399     -2.262     2.791     12.399     2.036     0.566     12.399
    0.956     0.62     12.399     -2.246     2.784     12.399     2.155     0.527     12.399
    0.792     0.68     12.399     -2.226     2.773     12.399     2.263     0.493     12.399
    0.629     0.74     12.399     -2.201     2.758     12.399     2.361     0.464     12.399
    0.468     0.8     12.399     -2.171     2.738     12.399     2.448     0.439     12.399
    0.308     0.8     12.399     -2.134     2.712     12.399     2.53     0.417     12.399
    0.149     0.95     12.399     -2.09     2.682     12.399     2.601     0.398     12.399
    -0.009     1.03     12.399     -2.039     2.646     12.399     2.656     0.383     12.399
    -0.164     1.11     12.399     -1.978     2.604     12.399     2.7     0.372     12.399
    -0.318     1.19     12.399     -1.908     2.556     12.399     2.733     0.364     12.399
    -0.469     1.28     12.399     -1.827     2.503     12.399     2.755     0.351     12.399
    -0.619     1.37     12.399     -1.737     2.444     12.399     2.762     0.339     12.399
    -0.767     1.46     12.399     -1.637     2.379     12.399     2.763     0.33     12.399
    -0.914     1.56     12.399     -1.527     2.309     12.399     2.763     0.325     12.399
    -1.054     1.65     12.399     -1.412     2.237     12.399     2.763     0.323     12.399
    -1.188     1.74     12.399     -1.291     2.162     12.399     2.763     0.322     12.399
    -1.315     1.84     12.399     -1.165     2.086     12.399
    -1.437     1.93     12.399     -1.034     2.008     12.399
    X位置     Y位置     Z位置     X位置     Y位置     Z位置     X位置     Y位置     Z位置
    2.618     -0.04     14.45     -1.549     1.603     14.45     -0.928     1.487     14.45
    2.618     -0.05     14.45     -1.654     1.689     14.45     -0.792     1.405     14.45
    2.616     -0.05     14.45     -1.753     1.773     14.45     -0.65     1.322     14.45
    2.612     -0.06     14.45     -1.842     1.852     14.45     -0.507     1.24     14.45
    2.602     -0.07     14.45     -1.92     1.925     14.45     -0.364     1.159     14.45
    2.578     -0.07     14.45     -1.99     1.992     14.45     -0.219     1.08     14.45
    2.544     -0.07     14.45     -2.05     2.052     14.45     -0.074     1.003     14.45
    2.499     -0.07     14.45     -2.1     2.106     14.45     0.073     0.929     14.45
    2.442     -0.06     14.45     -2.142     2.152     14.45     0.221     0.856     14.45
    2.369     -0.05     14.45     -2.177     2.192     14.45     0.37     0.786     14.45
    2.285     -0.0     14.45     -2.206     2.227     14.45     0.52     0.718     14.45
    2.195     -0.0     14.45     -2.228     2.256     14.45     0.67     0.651     14.45
    2.094     -0.02     14.45     -2.244     2.281     14.45     0.821     0.585     14.45
    1.982     -0.0     14.45     -2.256     2.3     14.45     0.972     0.52     14.45
    1.859     0.00     14.45     -2.263     2.316     14.45     1.119     0.459     14.45
    1.73     0.03     14.45     -2.268     2.329     14.45     1.262     0.402     14.45
    1.597     0.05     14.45     -2.269     2.341     14.45     1.4     0.348     14.45
    1.459     0.08     14.45     -2.266     2.349     14.45     1.534     0.298     14.45
    1.316     0.11     14.45     -2.259     2.352     14.45     1.664     0.253     14.45
    1.169     0.15     14.45     -2.248     2.351     14.45     1.788     0.21     14.45
    1.018     0.19     14.45     -2.235     2.346     14.45     1.909     0.171     14.45
    0.863     0.24     14.45     -2.22     2.34     14.45     2.024     0.136     14.45
    0.704     0.29     14.45     -2.2     2.329     14.45     2.13     0.105     14.45
    0.547     0.35     14.45     -2.176     2.314     14.45     2.225     0.079     14.45
    0.391     0.41     14.45     -2.147     2.294     14.45     2.31     0.057     14.45
    0.237     0.48     14.45     -2.111     2.269     14.45     2.39     0.037     14.45
    0.084     0.55     14.45     -2.069     2.239     14.45     2.46     0.021     14.45
    -0.067     0.63     14.45     -2.02     2.204     14.45     2.513     0.009     14.45
    -0.217     0.71     14.45     -1.962     2.162     14.45     2.556     -0.001     14.45
    -0.365     0.79     14.45     -1.895     2.115     14.45     2.589     -0.008     14.45
    -0.511     0.8     14.45     -1.818     2.062     14.45     2.61     -0.02     14.45
    -0.655     0.96     14.45     -1.732     2.003     14.45     2.617     -0.032     14.45
    -0.797     1.05     14.45     -1.636     1.939     14.45     2.618     -0.04     14.45
    -0.938     1.15     14.45     -1.531     1.869     14.45     2.618     -0.045     14.45
    -1.072     1.24     14.45     -1.421     1.797     14.45     2.618     -0.047     14.45
    -1.201     1.33     14.45     -1.306     1.722     14.45     2.618     -0.048     14.45
    -1.323     1.42     14.45     -1.185     1.646     14.45
    -1.439     1.51     14.45     -1.059     1.567     14.45
    X位置     Y位置     Z位置     X位置     Y位置     Z位置     X位置     Y位置     Z位置
    2.454     -0.50     16.501     -1.539     1.161     16.501     -0.953     1.021     16.501
    2.453     -0.50     16.501     -1.638     1.246     16.501     -0.823     0.937     16.501
    2.452     -0.51     16.501     -1.732     1.329     16.501     -0.689     0.852     16.501
    2.448     -0.51     16.501     -1.817     1.406     16.501     -0.554     0.768     16.501
    2.438     -0.52     16.501     -1.892     1.478     16.501     -0.418     0.685     16.501
    2.414     -0.53     16.501     -1.958     1.543     16.501     -0.28     0.605     16.501
    2.381     -0.53     16.501     -2.015     1.602     16.501     -0.142     0.526     16.501
    2.337     -0.52     16.501     -2.063     1.654     16.501     -0.002     0.45     16.501
    2.283     -0.52     16.501     -2.104     1.699     16.501     0.139     0.376     16.501
    2.212     -0.51     16.501     -2.137     1.738     16.501     0.281     0.304     16.501
    2.13     -0.50     16.501     -2.165     1.771     16.501     0.425     0.235     16.501
    2.043     -0.49     16.501     -2.186     1.799     16.501     0.569     0.167     16.501
    1.946     -0.48     16.501     -2.202     1.823     16.501     0.713     0.101     16.501
    1.838     -0.46     16.501     -2.214     1.841     16.501     0.859     0.036     16.501
    1.719     -0.4     16.501     -2.221     1.856     16.501     1     -0.025     16.501
    1.595     -0.42     16.501     -2.226     1.869     16.501     1.138     -0.081     16.501
    1.466     -0.40     16.501     -2.228     1.88     16.501     1.271     -0.133     16.501
    1.333     -0.37     16.501     -2.225     1.888     16.501     1.401     -0.182     16.501
    1.195     -0.33     16.501     -2.218     1.891     16.501     1.526     -0.226     16.501
    1.053     -0.30     16.501     -2.207     1.889     16.501     1.647     -0.267     16.501
    0.907     -0.25     16.501     -2.195     1.885     16.501     1.763     -0.303     16.501
    0.758     -0.20     16.501     -2.18     1.878     16.501     1.876     -0.336     16.501
    0.605     -0.15     16.501     -2.162     1.867     16.501     1.978     -0.365     16.501
    0.455     -0.09     16.501     -2.139     1.852     16.501     2.071     -0.389     16.501
    0.306     -0.03     16.501     -2.111     1.832     16.501     2.153     -0.409     16.501
    0.159     0.03     16.501     -2.077     1.807     16.501     2.231     -0.426     16.501
    0.013     0.1     16.501     -2.037     1.777     16.501     2.299     -0.441     16.501
    -0.131     0.18     16.501     -1.99     1.743     16.501     2.351     -0.452     16.501
    -0.273     0.26     16.501     -1.934     1.702     16.501     2.393     -0.46     16.501
    -0.414     0.35     16.501     -1.87     1.654     16.501     2.424     -0.466     16.501
    -0.553     0.43     16.501     -1.797     1.601     16.501     2.445     -0.477     16.501
    -0.69     0.52     16.501     -1.715     1.542     16.501     2.452     -0.488     16.501
    -0.825     0.61     16.501     -1.624     1.478     16.501     2.454     -0.496     16.501
    -0.958     0.71     16.501     -1.525     1.407     16.501     2.454     -0.5     16.501
    -1.086     0.80     16.501     -1.42     1.335     16.501     2.454     -0.503     16.501
    -1.207     0.89     16.501     -1.31     1.259     16.501     2.454     -0.504     16.501
    -1.323     0.98     16.501     -1.196     1.182     16.501
    -1.434     1.07     16.501     -1.077     1.102     16.501
X位置 Y位置 Z位置 X位置 Y位置 Z位置 X位置 Y位置 Z位置
    2.275     -0.97     18.552     -1.525     0.698     18.552     -0.974     0.54     18.552
    2.275     -0.97     18.552     -1.619     0.781     18.552     -0.851     0.456     18.552
    2.274     -0.98     18.552     -1.707     0.863     18.552     -0.724     0.371     18.552
    2.27     -0.98     18.552     -1.787     0.939     18.552     -0.596     0.288     18.552
    2.26     -0.99     18.552     -1.857     1.009     18.552     -0.467     0.206     18.552
    2.237     -1.00     18.552     -1.92     1.073     18.552     -0.337     0.125     18.552
    2.206     -     18.552     -1.974     1.131     18.552     -0.205     0.047     18.552
    2.164     -0.99     18.552     -2.019     1.181     18.552     -0.073     -0.03     18.552
    2.111     -0.99     18.552     -2.057     1.225     18.552     0.061     -0.105     18.552
    2.043     -0.98     18.552     -2.089     1.262     18.552     0.196     -0.177     18.552
    1.964     -0.97     18.552     -2.116     1.294     18.552     0.332     -0.248     18.552
    1.881     -0.96     18.552     -2.136     1.322     18.552     0.469     -0.317     18.552
    1.787     -0.95     18.552     -2.152     1.344     18.552     0.606     -0.384     18.552
    1.683     -0.93     18.552     -2.163     1.362     18.552     0.745     -0.449     18.552
    1.569     -0.91     18.552     -2.17     1.376     18.552     0.879     -0.51     18.552
    1.45     -0.89     18.552     -2.175     1.388     18.552     1.01     -0.566     18.552
    1.326     -0.86     18.552     -2.177     1.398     18.552     1.138     -0.618     18.552
    1.198     -0.83     18.552     -2.175     1.406     18.552     1.262     -0.666     18.552
    1.066     -0.80     18.552     -2.167     1.408     18.552     1.382     -0.71     18.552
    0.931     -0.76     18.552     -2.157     1.407     18.552     1.498     -0.75     18.552
    0.792     -0.71     18.552     -2.146     1.402     18.552     1.61     -0.785     18.552
    0.65     -0.66     18.552     -2.132     1.395     18.552     1.718     -0.817     18.552
    0.505     -0.6     18.552     -2.115     1.384     18.552     1.816     -0.844     18.552
    0.361     -0.5     18.552     -2.092     1.37     18.552     1.905     -0.866     18.552
    0.22     -0.48     18.552     -2.066     1.35     18.552     1.985     -0.885     18.552
    0.081     -0.41     18.552     -2.034     1.325     18.552     2.06     -0.901     18.552
    -0.056     -0.34     18.552     -1.996     1.296     18.552     2.125     -0.915     18.552
    -0.192     -0.26     18.552     -1.951     1.262     18.552     2.176     -0.925     18.552
    -0.327     -0.18     18.552     -1.899     1.221     18.552     2.216     -0.932     18.552
    -0.46     -0.10     18.552     -1.838     1.174     18.552     2.246     -0.937     18.552
    -0.592     -0.01     18.552     -1.77     1.121     18.552     2.266     -0.948     18.552
    -0.722     0.07     18.552     -1.692     1.062     18.552     2.273     -0.958     18.552
    -0.85     0.16     18.552     -1.607     0.997     18.552     2.275     -0.966     18.552
    -0.977     0.25     18.552     -1.513     0.927     18.552     2.275     -0.97     18.552
    -1.097     0.34     18.552     -1.414     0.854     18.552     2.275     -0.973     18.552
    -1.212     0.43     18.552     -1.311     0.779     18.552     2.275     -0.974     18.552
    -1.322     0.52     18.552     -1.203     0.701     18.552
    -1.426     0.61     18.552     -1.091     0.622     18.552
    X位置     Y位置     Z位置     X位置     Y位置     Z位置     X位置     Y位置     Z位置
    2.096     -1.38     20.603     -1.552     0.39     20.603     -1.037     0.171     20.603
    2.096     -1.38     20.603     -1.635     0.481     20.603     -0.924     0.08     20.603
    2.095     -1.39     20.603     -1.713     0.569     20.603     -0.806     -0.014     20.603
    2.091     -1.39     20.603     -1.783     0.652     20.603     -0.686     -0.105     20.603
    2.082     -1.40     20.603     -1.845     0.727     20.603     -0.566     -0.195     20.603
    2.059     -1.41     20.603     -1.899     0.796     20.603     -0.443     -0.283     20.603
    2.028     -1.40     20.603     -1.946     0.857     20.603     -0.32     -0.368     20.603
    1.987     -1.40     20.603     -1.986     0.911     20.603     -0.195     -0.451     20.603
    1.935     -1.39     20.603     -2.02     0.957     20.603     -0.069     -0.53     20.603
    1.868     -1.39     20.603     -2.047     0.996     20.603     0.059     -0.607     20.603
    1.791     -1.38     20.603     -2.07     1.03     20.603     0.189     -0.681     20.603
    1.708     -1.37     20.603     -2.088     1.058     20.603     0.32     -0.751     20.603
    1.616     -1.3     20.603     -2.102     1.081     20.603     0.453     -0.819     20.603
    1.513     -1.34     20.603     -2.111     1.1     20.603     0.587     -0.884     20.603
    1.401     -1.32     20.603     -2.118     1.114     20.603     0.718     -0.944     20.603
    1.283     -1.30     20.603     -2.122     1.126     20.603     0.847     -0.998     20.603
    1.161     -1.28     20.603     -2.123     1.136     20.603     0.972     -1.048     20.603
    1.035     -1.25     20.603     -2.121     1.143     20.603     1.095     -1.093     20.603
    0.904     -1.22     20.603     -2.114     1.145     20.603     1.214     -1.134     20.603
    0.77     -1.18     20.603     -2.104     1.141     20.603     1.329     -1.17     20.603
    0.632     -1.13     20.603     -2.093     1.135     20.603     1.44     -1.203     20.603
    0.491     -1.08     20.603     -2.081     1.126     20.603     1.547     -1.232     20.603
    0.347     -1.02     20.603     -2.065     1.114     20.603     1.644     -1.257     20.603
    0.207     -0.96     20.603     -2.045     1.097     20.603     1.732     -1.278     20.603
    0.07     -0.89     20.603     -2.021     1.075     20.603     1.811     -1.296     20.603
    -0.064     -0.81     20.603     -1.992     1.048     20.603     1.885     -1.312     20.603
    -0.196     -0.73     20.603     -1.958     1.015     20.603     1.949     -1.325     20.603
    -0.324     -0.65     20.603     -1.919     0.977     20.603     1.998     -1.335     20.603
    -0.451     -0.56     20.603     -1.872     0.931     20.603     2.038     -1.343     20.603
    -0.576     -0.4     20.603     -1.818     0.878     20.603     2.067     -1.349     20.603
    -0.698     -0.38     20.603     -1.757     0.819     20.603     2.087     -1.359     20.603
    -0.819     -0.29     20.603     -1.688     0.753     20.603     2.094     -1.37     20.603
    -0.937     -0.19     20.603     -1.612     0.68     20.603     2.096     -1.377     20.603
    -1.054     -0.09     20.603     -1.527     0.601     20.603     2.096     -1.381     20.603
    -1.165     0.00     20.603     -1.438     0.52     20.603     2.096     -1.383     20.603
    -1.27     0.10     20 603     -1.345     0.436     20.603     2.096     -1.384     20.603
    -1.37     0.20     20.603     -1.247     0.35     20.603
    -1.463     0.29     20.603     -1.144     0.262     20.603
也可以理解，在上表1中公开的示例翼面可以按比例增加或减少几何尺寸以用于其它类似的压缩机设计中。因此，在表1中列出的坐标值可以按比例增加或减少，使得翼面廓型形状保持不变。在表1中坐标的变化尺度可以由表1的X、Y和Z坐标值乘以或除以常数来表示。
尽管这里描述了多个实施例，可以从说明书中理解到，本领域的技术人员可以在本发明的范围之内进行各种元件组合、变更或改进。

Claims (9)

1.一件制品，所述制品具有与在表1中列出的笛卡儿坐标值X、Y和Z基本一致的标称廓型，并且其中X和Y是以英寸表示的距离，当通过平滑连续的弧连接时，其在每一个用英寸表示的距离Z处限定翼面廓型分段，在所述Z距离处的廓型分段相互平滑地接合以形成完整的翼面形状(22，23)。
2.根据权利要求1所述的制品，其特征在于：所述制品包括翼面(22，23)。
3.根据权利要求2所述的制品，其特征在于：所述制品形状位于垂直于任意制品表面位置的方向上+/-0.160英寸内的包络内。
4.根据权利要求1所述的制品，其特征在于：所述制品包括转子(22)。
5.一种包括具有多件制品的压缩机轮的压缩机，所述的每件制品包括具有翼面形状的翼面，所述翼面具有与在表1中列出的笛卡儿坐标值X、Y和Z基本上一致的标称廓型，其中X和Y是以英寸表示的距离，当通过平滑连续的弧连接时，其在每一个用英寸表示的距离Z处限定了翼面廓型分段，在所述Z距离处的所述廓型分段相互平滑地接合以形成完整的翼面形状(22，23)。
6.根据权利要求5所述的压缩机，其特征在于：所述制品包括转子(22)。
7.一种包括具有多件制品的压缩机轮(51)的压缩机(2)，所述的每件制品包括具有与在表1中列出的笛卡儿坐标值X、Y和Z值基本上一致的无涂层的标称翼面廓型的翼面，其中X和Y是以英寸表示的距离，当通过平滑连续的弧连接时，其在每一个用英寸表示的距离Z处限定了翼面廓型分段，在所述Z距离处的所述廓型分段相互平滑地接合以形成完整的翼面形状(22，23)，所述X和Y距离可以用相同常数或数目的函数来缩放以提供按比例增加或按比例减少的转子叶片翼面(22，23)。
8.根据权利要求7所述的压缩机(2)，其特征在于：所述制品包括转子(22)。
9.根据权利要求7所述的压缩机(2)，其特征在于：所述翼面形状位于垂直于任意翼面表面位置的方向上+/-0.160英寸之内的包络内。
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Families Citing this family (61)

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Publication number Priority date Publication date Assignee Title
US7581930B2 (en) * 2006-08-16 2009-09-01 United Technologies Corporation High lift transonic turbine blade
US7611326B2 (en) * 2006-09-06 2009-11-03 Pratt & Whitney Canada Corp. HP turbine vane airfoil profile
US7534092B2 (en) * 2006-10-25 2009-05-19 General Electric Company Airfoil shape for a compressor
US7513748B2 (en) * 2006-10-25 2009-04-07 General Electric Company Airfoil shape for a compressor
US7520729B2 (en) * 2006-10-25 2009-04-21 General Electric Company Airfoil shape for a compressor
US7572105B2 (en) * 2006-10-25 2009-08-11 General Electric Company Airfoil shape for a compressor
US7566202B2 (en) * 2006-10-25 2009-07-28 General Electric Company Airfoil shape for a compressor
US7517197B2 (en) * 2006-10-25 2009-04-14 General Electric Company Airfoil shape for a compressor
US7530793B2 (en) * 2006-10-25 2009-05-12 General Electric Company Airfoil shape for a compressor
US7572104B2 (en) * 2006-10-25 2009-08-11 General Electric Company Airfoil shape for a compressor
US7510378B2 (en) * 2006-10-25 2009-03-31 General Electric Company Airfoil shape for a compressor
US7537434B2 (en) * 2006-11-02 2009-05-26 General Electric Company Airfoil shape for a compressor
US7497665B2 (en) * 2006-11-02 2009-03-03 General Electric Company Airfoil shape for a compressor
US7568892B2 (en) * 2006-11-02 2009-08-04 General Electric Company Airfoil shape for a compressor
US7559748B2 (en) * 2006-11-28 2009-07-14 Pratt & Whitney Canada Corp. LP turbine blade airfoil profile
US8113773B2 (en) * 2008-09-09 2012-02-14 General Electric Company Airfoil shape for a compressor vane
US8113786B2 (en) * 2008-09-12 2012-02-14 General Electric Company Stator vane profile optimization
US8172543B2 (en) * 2010-08-31 2012-05-08 General Electric Company Airfoil shape for a compressor
EP2715154B1 (en) * 2011-05-31 2017-10-11 Volvo Construction Equipment AB A hydraulic system and a method for controlling a hydraulic system
US9297259B2 (en) * 2012-06-14 2016-03-29 Alstom Technology Compressor blade
US9771948B2 (en) 2015-09-04 2017-09-26 General Electric Company Airfoil shape for a compressor
US10041370B2 (en) 2015-09-04 2018-08-07 General Electric Company Airfoil shape for a compressor
US9745994B2 (en) 2015-09-04 2017-08-29 General Electric Company Airfoil shape for a compressor
US9759076B2 (en) 2015-09-04 2017-09-12 General Electric Company Airfoil shape for a compressor
US9951790B2 (en) 2015-09-04 2018-04-24 General Electric Company Airfoil shape for a compressor
US9759227B2 (en) 2015-09-04 2017-09-12 General Electric Company Airfoil shape for a compressor
US9777744B2 (en) 2015-09-04 2017-10-03 General Electric Company Airfoil shape for a compressor
US9732761B2 (en) 2015-09-04 2017-08-15 General Electric Company Airfoil shape for a compressor
US9746000B2 (en) 2015-09-04 2017-08-29 General Electric Company Airfoil shape for a compressor
US9957964B2 (en) 2015-09-04 2018-05-01 General Electric Company Airfoil shape for a compressor
US9938985B2 (en) 2015-09-04 2018-04-10 General Electric Company Airfoil shape for a compressor
US10415463B2 (en) 2016-09-21 2019-09-17 General Electric Company Airfoil shape for third stage compressor rotor blade
US10422342B2 (en) 2016-09-21 2019-09-24 General Electric Company Airfoil shape for second stage compressor rotor blade
US10415464B2 (en) 2016-09-21 2019-09-17 General Electric Company Airfoil shape for thirteenth stage compressor rotor blade
US10393144B2 (en) 2016-09-21 2019-08-27 General Electric Company Airfoil shape for tenth stage compressor rotor blade
US10415594B2 (en) 2016-09-21 2019-09-17 General Electric Company Airfoil shape for second stage compressor stator vane
US10415585B2 (en) 2016-09-21 2019-09-17 General Electric Company Airfoil shape for fourth stage compressor rotor blade
US10415593B2 (en) 2016-09-21 2019-09-17 General Electric Company Airfoil shape for inlet guide vane of a compressor
US10436215B2 (en) 2016-09-22 2019-10-08 General Electric Company Airfoil shape for fifth stage compressor rotor blade
US10443618B2 (en) 2016-09-22 2019-10-15 General Electric Company Airfoil shape for ninth stage compressor stator vane
US10443610B2 (en) 2016-09-22 2019-10-15 General Electric Company Airfoil shape for eleventh stage compressor rotor blade
US10415595B2 (en) 2016-09-22 2019-09-17 General Electric Company Airfoil shape for fifth stage compressor stator vane
US10436214B2 (en) 2016-09-22 2019-10-08 General Electric Company Airfoil shape for tenth stage compressor stator vane
US10422343B2 (en) 2016-09-22 2019-09-24 General Electric Company Airfoil shape for fourteenth stage compressor rotor blade
US10233759B2 (en) 2016-09-22 2019-03-19 General Electric Company Airfoil shape for seventh stage compressor stator vane
US10287886B2 (en) 2016-09-22 2019-05-14 General Electric Company Airfoil shape for first stage compressor rotor blade
US10087952B2 (en) 2016-09-23 2018-10-02 General Electric Company Airfoil shape for first stage compressor stator vane
US10443492B2 (en) 2016-09-27 2019-10-15 General Electric Company Airfoil shape for twelfth stage compressor rotor blade
US10443611B2 (en) 2016-09-27 2019-10-15 General Electric Company Airfoil shape for eighth stage compressor rotor blade
US10465710B2 (en) 2016-09-28 2019-11-05 General Electric Company Airfoil shape for thirteenth stage compressor stator vane
US10465709B2 (en) 2016-09-28 2019-11-05 General Electric Company Airfoil shape for eighth stage compressor stator vane
US10519973B2 (en) 2016-09-29 2019-12-31 General Electric Company Airfoil shape for seventh stage compressor rotor blade
US10519972B2 (en) 2016-09-29 2019-12-31 General Electric Company Airfoil shape for sixth stage compressor rotor blade
US10041503B2 (en) 2016-09-30 2018-08-07 General Electric Company Airfoil shape for ninth stage compressor rotor blade
US10288086B2 (en) 2016-10-04 2019-05-14 General Electric Company Airfoil shape for third stage compressor stator vane
US10132330B2 (en) 2016-10-05 2018-11-20 General Electric Company Airfoil shape for eleventh stage compressor stator vane
US10066641B2 (en) 2016-10-05 2018-09-04 General Electric Company Airfoil shape for fourth stage compressor stator vane
US10060443B2 (en) 2016-10-18 2018-08-28 General Electric Company Airfoil shape for twelfth stage compressor stator vane
US10012239B2 (en) 2016-10-18 2018-07-03 General Electric Company Airfoil shape for sixth stage compressor stator vane
US10648338B2 (en) * 2018-09-28 2020-05-12 General Electric Company Airfoil shape for second stage compressor stator vane
US11377972B1 (en) * 2021-02-25 2022-07-05 Doosan Heavy Industries & Construction Co., Ltd. Airfoil profile

Family Cites Families (12)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US6299412B1 (en) * 1999-12-06 2001-10-09 General Electric Company Bowed compressor airfoil
US6331100B1 (en) * 1999-12-06 2001-12-18 General Electric Company Doubled bowed compressor airfoil
GB0001399D0 (en) * 2000-01-22 2000-03-08 Rolls Royce Plc An aerofoil for an axial flow turbomachine
US6715990B1 (en) * 2002-09-19 2004-04-06 General Electric Company First stage turbine bucket airfoil
US6857855B1 (en) * 2003-08-04 2005-02-22 General Electric Company Airfoil shape for a turbine bucket
US6881038B1 (en) * 2003-10-09 2005-04-19 General Electric Company Airfoil shape for a turbine bucket
US6932577B2 (en) * 2003-11-21 2005-08-23 Power Systems Mfg., Llc Turbine blade airfoil having improved creep capability
US7186090B2 (en) * 2004-08-05 2007-03-06 General Electric Company Air foil shape for a compressor blade
US7384243B2 (en) * 2005-08-30 2008-06-10 General Electric Company Stator vane profile optimization
US7329092B2 (en) * 2006-01-27 2008-02-12 General Electric Company Stator blade airfoil profile for a compressor
US7396211B2 (en) * 2006-03-30 2008-07-08 General Electric Company Stator blade airfoil profile for a compressor
US7467926B2 (en) * 2006-06-09 2008-12-23 General Electric Company Stator blade airfoil profile for a compressor

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