CN1630768A - 第1级高压涡轮叶片叶型 - Google Patents

第1级高压涡轮叶片叶型 Download PDF

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CN1630768A
CN1630768A CNA028170946A CN02817094A CN1630768A CN 1630768 A CN1630768 A CN 1630768A CN A028170946 A CNA028170946 A CN A028170946A CN 02817094 A CN02817094 A CN 02817094A CN 1630768 A CN1630768 A CN 1630768A
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CN100347408C (zh
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R·R·拜
T·D·哈耶斯
P·F·诺尔顿
J·C·谢菲尔
A·C·-P·亚卡拉
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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
    • 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
    • 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
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Abstract

第1级叶片(10)具有实际上符合表1中给出的X，Y，Z笛卡儿坐标值的翼面轮廓，其中Z是离垂直于涡轮中心线的一个半径并且包含X和Y值的一个平面的垂直距离，而Z值则以在该翼面的径向最内端的气动力学断面的X，Y平面上的零点为其始点，以及X，Y是在每个距离Z处确定该翼面轮廓的坐标值。X，Y，和Z值可作为同一常数和数字的函数被改变比例，以产生按比例放大或缩小的叶片翼面断面。

Description

第1级高压涡轮叶片叶型
发明背景
本发明是按照与能源部签定的No.DE-FC21-95MC31176合同，在政府的支持下完成的。
本发明涉及燃气轮机级的涡轮叶片，尤其涉及第1级涡轮叶片的翼面轮廓。
近年来，先进的燃气轮机趋向于提高燃烧温度并努力改进涡轮各个零部件的冷却条件。在受让人的一个特定的燃气轮机设计中，正在开发一种采用蒸汽和空气联合冷却，联合循环效率达到60％的大功率燃气轮机。人们将会认识到这种涡轮叶片的设计和制造，尤其是该涡轮的第1级涡轮的叶片的设计和制造需要最优化的气动力学效率以及叶片的气动力学负荷及机械负荷。另外，高压涡轮的几个级之间的互相影响也是一个因素。
发明概述
按照本发明的一个实施例，为一个涡轮级，最好为第一级涡轮提供一种独特的涡轮叶片翼面轮廓，它可以由一些点的独特的轨迹来限定以按照负荷需求达到所需的效率，因此而改进涡轮的性能。要知道，由表1的X、Y、Z坐标给出的名义轮廓线限定了这些点的独特的轨迹。表1中给出的坐标是相对冷态的，即相对于这些叶片的几个断面的室温轮廓。每一个所确定的断面与相邻的断面平滑地连接以形成完整的翼面形状。还要知道，随着在使用中叶片温度升高，该轮廓将随温度和应力的变化而变化。这样，冷态或室温下的轮廓是由X，Y，Z坐标所给出，以便制造、加工。因为加工后的叶片翼面形状可能与下表中给出的名义翼面轮廓有所不同，在沿名义轮廓的垂直于任何表面位置的方向上离名义轮廓±0.100英寸的距离，它包含任何涂层工艺，限定了这种设计的轮廓包络面。
还应知道，该翼面可按几何比例放大或缩小，以应用于其他类似的涡轮设计。因此，以下给出的名义翼面轮廓的X，Y，Z坐标是同一常数或数字的函数。也即表中所给出的X，Y，Z坐标值可被乘以或除以同一常数或数字而得到按比例放大的或缩小的叶片翼面轮廓模式，而同时保持翼面断面形状。
在本发明的一个优选实施例中，提供一种涡轮叶片，其叶片翼面为一个沿垂直于任何叶片表面位置方向处于±0.100英寸内的包络面，其中该叶片翼面的不含涂层的名义轮廓实际上符合表1所给出的仅取小数点后三位的X，Y，Z笛卡儿坐标值，其中Z是离一个垂直于从涡轮中心线出发的半径并且包含X，Y值的平面的垂直距离，而Z值则是以在该翼面的径向最内端空气动力学断面处的X，Y平面上的零点为其始点，X，Y是确定在每个距离Z处的翼面轮廓的坐标，在这些Z距离处的轮廓互相平滑地连接起来以构成完整的翼面形状。
在本发明的一个优选实施例中，提供一种涡轮叶片，其叶片翼面形状为一个沿垂直于任何翼面表面位置方向处于±0.100英寸内的包络面，其中该翼面的不含涂层的名义轮廓实际上符合表1所给出的仅取小数点后三位的X，Y，Z笛卡儿坐标值，其中Z是离一个垂直于从涡轮中心线出发的半径并且包含X，Y值的平面的垂直距离，而Z值则是以在该翼面的径向最内端空气动力学断面处的X，Y平面上的零点为其始点，X，Y是确定在每个距离Z处的翼面轮廓的坐标，在这些Z距离处的轮廓互相平滑地连接起来以构成完整的翼面形状。
在本发明的另一个优选实施例中，提供一种涡轮叶片，其不含涂层的名义翼面形状为实际上符合表1所给出的仅取小数点后三位的X，Y，Z笛卡儿坐标值，其中Z是离一个垂直于从涡轮中心线出发的半径并且包含X，Y值的平面的垂直距离，而Z值则是以在该翼面的径向最内端空气动力学断面处的X，Y平面上的零点为其始点，X，Y是确定在每个距离Z处的翼面轮廓的坐标，在这些Z距离处的轮廓互相平滑地连接起来以构成完整的翼面形状。X，Y和Z值作为同一常数或数字的函数被改变比例，以产生按比例放大或缩小的叶片翼面。
在本发明的另一个优选实施例中，提供一种包括一个具有若干叶片的涡轮叶轮的涡轮，每个所述叶片的翼面形状为沿垂直于任何叶片翼面表面位置方向处于±0.100英寸内的包络面，其中该翼面的不含涂层的名义轮廓实际上符合表1所给出的仅取小数点后三位的X，Y，Z笛卡儿坐标值，其中Z是离一个垂直于从涡轮中心线出发的半径并且包含X，Y值的平面的垂直距离，而Z值则是以在该翼面的径向最内端空气动力学断面处的X，Y平面上的零点为其始点，X，Y是确定在每个距离Z处的翼面轮廓的坐标，在这些Z距离处的轮廓互相平滑地连接起来以构成完整的翼面形状。
在本发明的另一个优选实施例中，提供一种包括一个具有若干叶片的涡轮叶轮的涡轮，每个所述叶片的不含涂层的名义翼面轮廓为实际上符合表1所给出的仅取小数点后三位的X，Y，Z笛卡儿坐标值，其中Z是离一个垂直于从涡轮中心线出发的半径并且包含X，Y值的平面的垂直距离，而Z值则是以在该翼面的径向最内端空气动力学断面处的X，Y平面上的零点为其始点，X，Y是确定在每个距离Z处的翼面轮廓的坐标，在这些Z距离处的轮廓互相平滑地连接起来以构成完整的翼面形状。X，Y，和Z值作为同一常数和数字的函数被改变比例，以产生按比例放大和缩小的叶片。
附图简述
图1是一个涡轮叶片的侧视图，它包括按照本发明而制造的一个翼面、根部和燕尾部分；
图2是一个透视图；
图3是沿径向方向向内看的叶片放大端视图；
图4是该叶片的透视图；
图5是该叶片的轴向视图；
图6是图5中所示叶片的放大图；
图7是该叶片的翼面轮廓的示意图；
图8是具有采用这些叶片的1级涡轮叶轮的涡轮示意图。
本发明的详细说明
现在参看附图，尤其图1和图2，它们表示了一个按照本发明制造的涡轮叶片，包括安装在平台12上的翼面10，而这个平台座则由根部14所支撑。根部14的径向内端支撑一个将该叶片连接到涡轮叶轮上(图中未显出)的燕尾榫16。叶片10、平台12、和燕尾榫16集中地称为一个叶片，总的标以17。翼面10具有复合曲率，分别具有负压侧18和压力侧20。象通常那样，燕尾部分16与涡轮叶轮上的燕尾形槽相匹配，并且若干叶片，最好是60片叶片围绕叶轮和涡轮转子轴线沿圆周间隔排列。另外，在叶柄14的轴向的前后侧形成叶轮间隙密封件22，即角形翼。最好，该叶片与冷却通道，最好为蒸汽冷却通道整体铸造，这些通道(未示)，通向包括翼面10的叶片的内部。
现在参看图2，图中表示了在表1中给出的X，Y，Z值笛卡儿坐标系。该笛卡儿坐标系具有互正交的X，Y，Z轴，Z轴垂直于包含X和Y值的平面延伸。Z距离以翼面径向最内端的气动力学断面处的X，Y平面上的零点为其始点。Z轴平行于涡轮转子中心线，即转轴。在确定了在垂直于X，Y平面的Z方向上的选定位置处的X，Y坐标值以后，翼面10的轮廓线就可以确定了。把X，Y值用平滑、连续的弧线连接起来，在每个距离Z处的每个轮廓断面就能确定了。在每两个距离Z之间的各个表面位置处的表面轮廓互相平滑连接以形成该翼面。表1中给出的数值是以英寸为单位，并代表了在环境温度时、非运转条件或非热态下的翼面轮廓，并且是不含有涂层的翼面。符号通常指定Z值为正值，而X和Y坐标值为正值和负值，如同通常在笛卡儿坐标系中所使用的。
虽然表1中的值是四位数，但是按制造的局限来看，适于成形翼面的实际有效数值只要三位数即足够了。另外，在翼面的实际轮廓中还必须考虑通常的制造公差以及叶片表面的涂层。因此，表1中所给出的值是适用于叶片的名义翼面的。因此要知道，要把±制造公差，即正，负值及冷却厚度加到表1中给出的X，Y数值上。因此，沿翼面轮廓垂直于任何表面位置的方向上的±0.100英寸的距离限定了该涡轮特定的叶片设计的翼面轮廓的包络面。
表1中给出的坐标值提供了优选的名义轮廓包络面。
                  表1
X            Y             Z
2.4772       -2.3232       0.000
2.3662       -2.3123       0.000
2.2985       -2.217        0.000
2.2384       -2.1157       0.000
2.176        -2.016        0.000
2.1121       -1.9172       0.000
2.0466       -1.8193       0.000
1.9795       -1.7226       0.000
1.9106       -1.6272       0.000
1.8398       -1.5333       0.000
1.767        -1.4408       0.000
1.6922       -1.3499       0.000
1.6154       -1.2607       0.000
1.5366       -1.1733       0.000
1.4556       -1.0879       0.000
1.3726       -1.0045       0.000
1.2874       -0.9233       0.000
1.2001       -0.8444       0.000
1.1106       -0.768        0.000
1.0188       -0.6943       0.000
0.9248       -0.6234       0.000
0.8286       -0.5557       0.000
0.7301       -0.4913       0.000
0.6294       -0.4303       0.000
0.5266       -0.3731       0.000
0.4216       -0.3199       0.000
0.3147       -0.2709       0.000
0.2057       -0.2263       0.000
0.095        -0.1864       0.000
-0.0173      -0.1514       0.000
-0.1312      -0.1216       0.000
-0.2463      -0.0972       0.000
-0.3625      -0.0784       0.000
-0.4794      -0.0652       0.000
-0.5969      -0.0576       0.000
-0.7145      -0.0553       0.000
-0.8322      -0.0579       0.000
-0.9497      -0.0648       0.000
-1.0669      -0.0755       0.000
-1.1838      -0.0888       0.000
X            Y             Z
-1.3006      -0.1029       0.000
-1.4176      -0.1161       0.000
-1.5348      -0.1263       0.000
-1.6525      -0.1293       0.000
-1.7697      -0.1202       0.000
-1.8842      -0.0937       0.000
-1.9916      -0.0461       0.000
-2.0868      0.0228        0.000
-2.166       0.1096        0.000
-2.224       0.2117        0.000
-2.2539      0.3251        0.000
-2.255       0.4426        0.000
-2.2343      0.5583        0.000
-2.1995      0.6707        0.000
-2.1547      0.7795        0.000
-2.1016      0.8845        0.000
-2.0418      0.9859        0.000
-1.9768      1.0839        0.000
-1.907       1.1787        0.000
-1.8329      1.2701        0.000
-1.7546      1.3579        0.000
-1.6723      1.4421        0.000
-1.586       1.5222        0.000
-1.4959      1.5978        0.000
-1.402       1.6687        0.000
-1.3044      1.7345        0.000
-1.2033      1.7946        0.000
-1.0987      1.8486        0.000
-0.9909      1.8958        0.000
-0.8802      1.9357        0.000
-0.7669      1.9673        0.000
-0.6514      1.9899        0.000
-0.5344      2.0027        0.000
-0.4168      2.0054        0.000
-0.2994      1.9978        0.000
-0.1832      1.9797        0.000
-0.069       1.9511        0.000
0.0422       1.9128        0.000
0.1499       1.8654        0.000
0.2535       1.8096        0.000
0.3527       1.7463        0.000
0.4474       1.6764        0.000
0.5378       1.6011        0.000
0.6241       1.5211        0.000
0.7066       1.4372        0.000
0.7854       1.3498        0.000
X             Y              Z
0.8606        1.2593         0.000
0.9326        1.1662         0.000
1.0016        1.0708         0.000
1.0678        0.9735         0.000
1.1317        0.8747         0.000
1.1936        0.7746         0.000
1.2535        0.6733         0.000
1.3117        0.571          0.000
1.3683        0.4678         0.000
1.4234        0.3638         0.000
1.4772        0.2591         0.000
1.5299        0.1539         0.000
1.5815        0.0481         0.000
1.6323        -0.0581        0.000
1.6822        -0.1646        0.000
1.7314        -0.2716        0.000
1.78          -0.3788        0.000
1.8279        -0.4863        0.000
1.8753        -0.594         0.000
1.9222        -0.702         0.000
1.9686        -0.8101        0.000
2.0148        -0.9184        0.000
2.0605        -1.0268        0.000
2.1059        -1.1354        0.000
2.1511        -1.2441        0.000
2.1959        -1.3529        0.000
2.2405        -1.4618        0.000
2.2849        -1.5708        0.000
2.3291        -1.6799        0.000
2.3731        -1.789         0.000
2.4167        -1.8983        0.000
2.4594        -2.008         0.000
2.5035        -2.1171        0.000
2.5379        -2.2287        0.000
2.4691        -2.3243        0.500
2.3569        -2.312         0.500
2.2897        -2.2147        0.500
2.2299        -2.1116        0.500
2.168         -2.0099        0.500
2.1047        -1.909         0.500
2.0402        -1.8089        0.500
1.9741        -1.7098        0.500
1.9064        -1.6119        0.500
1.8368        -1.5152        0.500
1.7654        -1.4199        0.500
1.6921        -1.3261        0.500
X             Y              Z
1.6168        -1.2338        0.500
1.5395        -1.1431        0.500
1.4602        -1.0543        0.500
1.3789        -0.9673        0.500
1.2954        -0.8824        0.500
1.2097        -0.7997        0.500
1.1217        -0.7194        0.500
1.0315        -0.6417        0.500
0.9389        -0.5668        0.500
0.8439        -0.495         0.500
0.7465        -0.4265        0.500
0.6467        -0.3615        0.500
0.5444        -0.3005        0.500
0.4398        -0.2436        0.500
0.3328        -0.1914        0.500
0.2235        -0.144         0.500
0.1122        -0.1017        0.500
-0.001        -0.0648        0.500
-0.116        -0.0337        0.500
-0.2324       -0.0088        0.500
-0.35         0.0099         0.500
-0.4685       0.0222         0.500
-0.5874       0.0281         0.500
-0.7065       0.028          0.500
-0.8254       0.0222         0.500
-0.944        0.0112         0.500
-1.062        -0.0046        0.500
-1.1796       -0.0236        0.500
-1.2968       -0.0444        0.500
-1.4141       -0.0654        0.500
-1.5317       -0.0838        0.500
-1.6502       -0.0956        0.500
-1.7692       -0.0949        0.500
-1.8864       -0.0745        0.500
-1.9962       -0.0291        0.500
-2.093        0.0398         0.500
-2.1748       0.1261         0.500
-2.2333       0.2294         0.500
-2.2605       0.345          0.500
-2.26         0.4639         0.500
-2.2401       0.5812         0.500
-2.2074       0.6957         0.500
-2.1647       0.8068         0.500
-2.1138       0.9145         0.500
-2.0564       1.0188         0.500
-1.9934       1.1199         0.500
X               Y              Z
-1.9253         1.2175         0.500
-1.8524         1.3117         0.500
-1.7751         1.4023         0.500
-1.6935         1.4891         0.500
-1.6078         1.5717         0.500
-1.5179         1.6499         0.500
-1.4241         1.7232         0.500
-1.3263         1.7912         0.500
-1.2248         1.8533         0.500
-1.1196         1.9091         0.500
-1.011          1.9581         0.500
-0.8994         1.9994         0.500
-0.7849         2.0323         0.500
-0.6682         2.0559         0.500
-0.5499         2.0694         0.500
-0.4309         2.0726         0.500
-0.3121         2.0652         0.500
-0.1945         2.047          0.500
-0.079          2.018          0.500
0.0335          1.9789         0.500
0.1423          1.9306         0.500
0.2468          1.8736         0.500
0.3468          1.8089         0.500
0.4422          1.7376         0.500
0.5332          1.6608         0.500
0.62            1.5793         0.500
0.7029          1.4938         0.500
0.7819          1.4048         0.500
0.8574          1.3126         0.500
0.9296          1.2179         0.500
0.9988          1.121          0.500
1.0652          1.0222         0.500
1.1294          0.9218         0.500
1.1914          0.8201         0.500
1.2514          0.7173         0.500
1.3097          0.6134         0.500
1.3663          0.5086         0.500
1.4214          0.4031         0.500
1.4752          0.2968         0.500
1.5278          0.1899         0.500
1.5793          0.0826         0.500
1.63            -0.0252        0.500
1.6797          -0.1334        0.500
1.7287          -0.242         0.500
1.777           -0.3508        0.500
1.8246          -0.46          0.500
X            Y             Z
1.8717       -0.5694       0.500
1.9183       -0.679        0.500
1.9644       -0.7888       0.500
2.0101       -0.8988       0.500
2.0555       -1.0089       0.500
2.1005       -1.1191       0.500
2.1452       -1.2295       0.500
2.1897       -1.34         0.500
2.2339       -1.4506       0.500
2.278        -1.5612       0.500
2.3218       -1.6719       0.500
2.3656       -1.7827       0.500
2.4089       -1.8937       0.500
2.4512       -2.005        0.500
2.4952       -2.1156       0.500
2.5298       -2.2286       0.500
2.4611       -2.3256       1.000
2.3479       -2.3119       1.000
2.2812       -2.2124       1.000
2.2219       -2.1074       1.000
2.1607       -2.0036       1.000
2.0985       -1.9004       1.000
2.0352       -1.7979       1.000
1.9706       -1.6962       1.000
1.9044       -1.5955       1.000
1.8365       -1.4959       1.000
1.7668       -1.3975       1.000
1.6954       -1.3005       1.000
1.622        -1.2049       1.000
1.5467       -1.1108       1.000
1.4694       -1.0184       1.000
1.39         -0.9277       1.000
1.3083       -0.8391       1.000
1.2244       -0.7526       1.000
1.1381       -0.6685       1.000
1.0493       -0.5871       1.000
0.9579       -0.5085       1.000
0.864        -0.433        1.000
0.7674       -0.361        1.000
0.6681       -0.2927       1.000
0.566        -0.2286       1.000
0.4613       -0.169        1.000
0.3539       -0.1144       1.000
0.244        -0.065        1.000
0.1317       -0.0212       1.000
0.0173       0.0165        1.000
X             Y             Z
-0.0991       0.0478        1.000
-0.2171       0.0723        1.000
-0.3363       0.0899        1.000
-0.4563       0.1004        1.000
-0.5768       0.104         1.000
-0.6972       0.1011        1.000
-0.8174       0.0921        1.000
-0.937        0.0774        1.000
-1.0559       0.0577        1.000
-1.1741       0.0344        1.000
-1.2919       0.0089        1.000
-1.4095       -0.0172       1.000
-1.5276       -0.0416       1.000
-1.6466       -0.0605       1.000
-1.7668       -0.0678       1.000
-1.8864       -0.0548       1.000
-1.9991       -0.0133       1.000
-2.0986       0.0543        1.000
-2.1829       0.1402        1.000
-2.2409       0.2452        1.000
-2.2673       0.3625        1.000
-2.2684       0.4829        1.000
-2.2515       0.6021        1.000
-2.2215       0.7188        1.000
-2.1812       0.8323        1.000
-2.1323       0.9424        1.000
-2.0764       1.0492        1.000
-2.0145       1.1525        1.000
-1.947        1.2524        1.000
-1.8745       1.3486        1.000
-1.7973       1.4411        1.000
-1.7157       1.5298        1.000
-1.6298       1.6143        1.000
-1.5396       1.6943        1.000
-1.4454       1.7694        1.000
-1.3472       1.8392        1.000
-1.2451       1.9032        1.000
-1.1393       1.9609        1.000
-1.0301       2.0118        1.000
-0.9177       2.0551        1.000
-0.8023       2.09          1.000
-0.6846       2.1155        1.000
-0.5651       2.131         1.000
-0.4447       2.1359        1.000
-0.3244       2.13          1.000
-0.2052       2.1127        1.000
X            Y              Z
-0.0881      2.0843         1.000
0.0259       2.0455         1.000
0.1361       1.9968         1.000
0.2419       1.9391         1.000
0.3428       1.8733         1.000
0.439        1.8007         1.000
0.5305       1.7224         1.000
0.6177       1.6392         1.000
0.7008       1.5519         1.000
0.7799       1.461          1.000
0.8553       1.367          1.000
0.9275       1.2705         1.000
0.9965       1.1717         1.000
1.0629       1.0712         1.000
1.1269       0.9691         1.000
1.1888       0.8656         1.000
1.2487       0.7611         1.000
1.3068       0.6555         1.000
1.3632       0.549          1.000
1.4182       0.4418         1.000
1.4718       0.3338         1.000
1.5243       0.2253         1.000
1.5757       0.1164         1.000
1.6262       0.0069         1.000
1.6759       -0.1029        1.000
1.7247       -0.213         1.000
1.7729       -0.3235        1.000
1.8203       -0.4343        1.000
1.8672       -0.5453        1.000
1.9136       -0.6565        1.000
1.9595       -0.768         1.000
2.0051       -0.8795        1.000
2.0502       -0.9913        1.000
2.095        -1.1032        1.000
2.1395       -1.2152        1.000
2.1837       -1.3273        1.000
2.2276       -1.4395        1.000
2.2714       -1.5518        1.000
2.315        -1.6641        1.000
2.3585       -1.7765        1.000
2.4015       -1.8891        1.000
2.4436       -2.002         1.000
2.4874       -2.1143        1.000
2.522        -2.2288        1.000
2.4524       -2.3263        1.500
2.338        -2.3108        1.500
X            Y              Z
2.2721       -2.2089        1.500
2.2132       -2.102         1.500
2.1527       -1.9961        1.500
2.0913       -1.8907        1.500
2.0287       -1.7859        1.500
1.9646       -1.682         1.500
1.899        -1.5791        1.500
1.8318       -1.4773        1.500
1.7629       -1.3766        1.500
1.6923       -1.2771        1.500
1.6197       -1.179         1.500
1.5453       -1.0823        1.500
1.4688       -0.9872        1.500
1.3903       -0.8938        1.500
1.3097       -0.8022        1.500
1.2267       -0.7127        1.500
1.1414       -0.6255        1.500
1.0535       -0.5409        1.500
0.9631       -0.459         1.500
0.8699       -0.3801        1.500
0.7741       -0.3046        1.500
0.6755       -0.2328        1.500
0.574        -0.165         1.500
0.4698       -0.1016        1.500
0.3626       -0.0432        1.500
0.2528       0.0098         1.500
0.1402       0.057          1.500
0.0253       0.0979         1.500
-0.0919      0.1319         1.500
-0.211       0.1585         1.500
-0.3315      0.1773         1.500
-0.453       0.188          1.500
-0.575       0.1907         1.500
-0.6969      0.1857         1.500
-0.8183      0.1736         1.500
-0.9388      0.1547         1.500
-1.0583      0.1298         1.500
-1.1767      0.1005         1.500
-1.2945      0.0685         1.500
-1.412       0.0355         1.500
-1.5299      0.0041         1.500
-1.6491      -0.0216        1.500
-1.7703      -0.0347        1.500
-1.8918      -0.0259        1.500
-2.007       0.0132         1.500
-2.1091      0.0796         1.500
X            Y             Z
-2.1948      0.1661        1.500
-2.2526      0.2729        1.500
-2.2773      0.3921        1.500
-2.2781      0.514         1.500
-2.2618      0.6349        1.500
-2.2329      0.7534        1.500
-2.1938      0.8689        1.500
-2.1462      0.9813        1.500
-2.0916      1.0904        1.500
-2.0309      1.1962        1.500
-1.9645      1.2986        1.500
-1.8929      1.3974        1.500
-1.8166      1.4926        1.500
-1.7357      1.5839        1.500
-1.6502      1.6709        1.500
-1.5603      1.7534        1.500
-1.466       1.8308        1.500
-1.3676      1.903         1.500
-1.2652      1.9693        1.500
-1.1589      2.0292        1.500
-1.049       2.0822        1.500
-0.9357      2.1273        1.500
-0.8193      2.1638        1.500
-0.7003      2.1908        1.500
-0.5795      2.2073        1.500
-0.4576      2.2129        1.500
-0.3358      2.2071        1.500
-0.215       2.1897        1.500
-0.0966      2.1606        1.500
0.0187       2.1206        1.500
0.1299       2.0705        1.500
0.2364       2.0111        1.500
0.3379       1.9434        1.500
0.4344       1.8687        1.500
0.5261       1.7882        1.500
0.6133       1.7029        1.500
0.6963       1.6135        1.500
0.7752       1.5204        1.500
0.8504       1.4243        1.500
0.9222       1.3257        1.500
0.991        1.2249        1.500
1.0571       1.1223        1.500
1.1208       1.0183        1.500
1.1824       0.9129        1.500
1.2421       0.8065        1.500
1.3          0.6991        1.500
X            Y             Z
1.3563       0.5909        1.500
1.4112       0.4819        1.500
1.4648       0.3722        1.500
1.5172       0.262         1.500
1.5686       0.1514        1.500
1.6191       0.0403        1.500
1.6688       -0.0711       1.500
1.7178       -0.1829       1.500
1.766        -0.295        1.500
1.8136       -0.4074       1.500
1.8606       -0.52         1.500
1.9071       -0.6328       1.500
1.9531       -0.7458       1.500
1.9987       -0.859        1.500
2.0439       -0.9723       1.500
2.0887       -1.0858       1.500
2.1331       -1.1995       1.500
2.1773       -1.3132       1.500
2.2212       -1.4271       1.500
2.2648       -1.541        1.500
2.3082       -1.6551       1.500
2.3515       -1.7692       1.500
2.3941       -1.8835       1.500
2.4359       -1.9982       1.500
2.4794       -2.1122       1.500
2.5139       -2.2283       1.500
2.4439       -2.3271       2.000
2.3286       -2.3098       2.000
2.2633       -2.2059       2.000
2.2048       -2.0972       2.000
2.1445       -1.9895       2.000
2.0836       -1.8822       2.000
2.0215       -1.7756       2.000
1.958        -1.6698       2.000
1.8928       -1.565        2.000
1.8261       -1.4612       2.000
1.7577       -1.3584       2.000
1.6876       -1.2569       2.000
1.6156       -1.1567       2.000
1.5418       -1.0578       2.000
1.4659       -0.9605       2.000
1.388        -0.8648       2.000
1.308        -0.7708       2.000
1.2258       -0.6788       2.000
1.1412       -0.589        2.000
1.0542       -0.5015       2.000
X            Y              Z
0.9646       -0.4166        2.000
0.8725       -0.3345        2.000
0.7776       -0.2556        2.000
0.6799       -0.1802        2.000
0.5794       -0.1086        2.000
0.4759       -0.0415        2.000
0.3694       0.0208         2.000
0.2599       0.0777         2.000
0.1476       0.1288         2.000
0.0325       0.1732         2.000
-0.0852      0.2104         2.000
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-0.3266      0.2605         2.000
-0.4494      0.2724         2.000
-0.5728      0.2751         2.000
-0.696       0.2689         2.000
-0.8185      0.2542         2.000
-0.9398      0.2317         2.000
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-1.2957      0.1302         2.000
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-2.1173      0.1068         2.000
-2.2054      0.1927         2.000
-2.2627      0.3014         2.000
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-2.2873      0.5454         2.000
-2.2717      0.6678         2.000
-2.2438      0.7879         2.000
-2.2058      0.9053         2.000
-2.1596      1.0197         2.000
-2.1062      1.131          2.000
-2.0467      1.239          2.000
-1.9814      1.3437         2.000
-1.9108      1.445          2.000
-1.8353      1.5425         2.000
-1.755       1.6362         2.000
-1.67        1.7257         2.000
-1.5805      1.8105         2.000
-1.4864      1.8904         2.000
-1.3879      1.9647         2.000
X             Y             Z
-1.2852       2.0331        2.000
-1.1785       2.095         2.000
-1.0679       2.1497        2.000
-0.9537       2.1964        2.000
-0.8363       2.2342        2.000
-0.7161       2.2621        2.000
-0.5939       2.2792        2.000
-0.4707       2.285         2.000
-0.3475       2.279         2.000
-0.2255       2.2609        2.000
-0.1059       2.2307        2.000
0.0103        2.1893        2.000
0.1223        2.1376        2.000
0.2294        2.0764        2.000
0.3312        2.0067        2.000
0.4278        1.9299        2.000
0.5195        1.8473        2.000
0.6066        1.76          2.000
0.6894        1.6684        2.000
0.7681        1.5734        2.000
0.843         1.4753        2.000
0.9145        1.3748        2.000
0.983         1.2722        2.000
1.0489        1.1678        2.000
1.1123        1.062         2.000
1.1737        0.9549        2.000
1.2333        0.8468        2.000
1.291         0.7378        2.000
1.3472        0.6279        2.000
1.402         0.5174        2.000
1.4556        0.4062        2.000
1.5081        0.2945        2.000
1.5596        0.1823        2.000
1.6102        0.0698        2.000
1.66          -0.0431       2.000
1.7091        -0.1563       2.000
1.7575        -0.2698       2.000
1.8053        -0.3836       2.000
1.8525        -0.4976       2.000
1.8992        -0.6119       2.000
1.9454        -0.7263       2.000
1.9911        -0.8409       2.000
2.0365        -0.9557       2.000
2.0814        -1.0706       2.000
2.126         -1.1857       2.000
2.1702        -1.3009       2.000
X            Y            Z
2.2141       -1.4162      2.000
2.2577       -1.5317      2.000
2.301        -1.6472      2.000
2.3441       -1.7629      2.000
2.3867       -1.8787      2.000
2.4283       -1.9948      2.000
2.4715       -2.1104      2.000
2.5062       -2.228       2.000
2.4361       -2.3278      2.500
2.3199       -2.3093      2.500
2.255        -2.2037      2.500
2.1966       -2.0937      2.500
2.1366       -1.9845      2.500
2.0759       -1.8757      2.500
2.0141       -1.7675      2.500
1.951        -1.6601      2.500
1.8864       -1.5536      2.500
1.8202       -1.4481      2.500
1.7523       -1.3436      2.500
1.6827       -1.2403      2.500
1.6112       -1.1382      2.500
1.5379       -1.0375      2.500
1.4627       -0.9382      2.500
1.3855       -0.8404      2.500
1.3062       -0.7443      2.500
1.2248       -0.65        2.500
1.1411       -0.5577      2.500
1.055        -0.4677      2.500
0.9664       -0.3801      2.500
0.8752       -0.2952      2.500
0.7814       -0.2132      2.500
0.6849       -0.1345      2.500
0.5854       -0.0595      2.500
0.4829       0.0113       2.500
0.3772       0.0772       2.500
0.2684       0.1379       2.500
0.1565       0.1926       2.500
0.0415       0.2406       2.500
-0.0763      0.281        2.500
-0.1967      0.313        2.500
-0.3191      0.3361       2.500
-0.4429      0.3496       2.500
-0.5674      0.353        2.500
-0.6918      0.3464       2.500
-0.8153      0.3304       2.500
-0.9374      0.3056       2.500
X             Y             Z
-1.0577       0.2733        2.500
-1.1763       0.2352        2.500
-1.2937       0.1934        2.500
-1.4104       0.1499        2.500
-1.5276       0.1077        2.500
-1.6466       0.0707        2.500
-1.7686       0.0461        2.500
-1.8929       0.0436        2.500
-2.0135       0.0732        2.500
-2.1217       0.1344        2.500
-2.2128       0.2187        2.500
-2.2707       0.3283        2.500
-2.2949       0.4502        2.500
-2.296        0.5747        2.500
-2.2814       0.6984        2.500
-2.2548       0.82          2.500
-2.2183       0.9391        2.500
-2.1734       1.0553        2.500
-2.1213       1.1684        2.500
-2.0629       1.2785        2.500
-1.9987       1.3852        2.500
-1.9291       1.4886        2.500
-1.8543       1.5882        2.500
-1.7746       1.6839        2.500
-1.6901       1.7754        2.500
-1.6008       1.8623        2.500
-1.5069       1.9442        2.500
-1.4084       2.0204        2.500
-1.3055       2.0905        2.500
-1.1982       2.1539        2.500
-1.087        2.21          2.500
-0.972        2.2578        2.500
-0.8536       2.2965        2.500
-0.7324       2.3249        2.500
-0.609        2.3422        2.500
-0.4846       2.3477        2.500
-0.3602       2.3411        2.500
-0.2372       2.322         2.500
-0.1167       2.2906        2.500
0.0002        2.2477        2.500
0.1128        2.1943        2.500
0.2202        2.1313        2.500
0.3221        2.0597        2.500
0.4188        1.9811        2.500
0.5104        1.8967        2.500
0.5974        1.8076        2.500
X             Y             Z
0.68          1.7143        2.500
0.7585        1.6176        2.500
0.8332        1.5179        2.500
0.9045        1.4157        2.500
0.9728        1.3115        2.500
1.0383        1.2056        2.500
1.1016        1.0983        2.500
1.1629        0.9898        2.500
1.2223        0.8803        2.500
1.28          0.7699        2.500
1.3363        0.6587        2.500
1.3911        0.5468        2.500
1.4447        0.4344        2.500
1.4972        0.3214        2.500
1.5489        0.208         2.500
1.5997        0.0943        2.500
1.6497        -0.0198       2.500
1.699         -0.1342       2.500
1.7476        -0.2489       2.500
1.7956        -0.3639       2.500
1.843         -0.4791       2.500
1.8899        -0.5945       2.500
1.9364        -0.7101       2.500
1.9824        -0.8259       2.500
2.0279        -0.9419       2.500
2.0731        -1.058        2.500
2.1178        -1.1743       2.500
2.1622        -1.2907       2.500
2.2062        -1.4072       2.500
2.2499        -1.5239       2.500
2.2933        -1.0407       2.500
2.3363        -1.7576       2.500
2.3791        -1.8746       2.500
2.4207        -1.9921       2.500
2.4637        -2.109        2.500
2.4986        -2.2278       2.500
2.4279        -2.3285       3.000
2.311         -2.309        3.000
2.2463        -2.2022       3.000
2.1878        -2.0911       3.000
2.1279        -1.9807       3.000
2.0673        -1.8707       3.000
2.0058        -1.7613       3.000
1.943         -1.6526       3.000
1.8788        -1.5447       3.000
1.813         -1.4377       3.000
X             Y             Z
1.7456        -1.3318       3.000
1.6765        -1.227        3.000
1.6056        -1.1233       3.000
1.533         -1.0209       3.000
1.4585        -0.9199       3.000
1.382         -0.8202       3.000
1.3037        -0.7222       3.000
1.2232        -0.6258       3.000
1.1405        -0.5313       3.000
1.0554        -0.439        3.000
0.9678        -0.349        3.000
0.8777        -0.2616       3.000
0.785         -0.177        3.000
0.6895        -0.0954       3.000
0.5912        -0.0173       3.000
0.4897        0.0566        3.000
0.3851        0.126         3.000
0.2771        0.19          3.000
0.1658        0.2482        3.000
0.0513        0.2995        3.000
-0.0664       0.3432        3.000
-0.187        0.3782        3.000
-0.3099       0.4039        3.000
-0.4344       0.4195        3.000
-0.5598       0.4242        3.000
-0.6852       0.4182        3.000
-0.8097       0.4021        3.000
-0.9326       0.3766        3.000
-1.0535       0.3428        3.000
-1.1725       0.3027        3.000
-1.29         0.2584        3.000
-1.4066       0.2119        3.000
-1.5235       0.1661        3.000
-1.6421       0.1249        3.000
-1.7639       0.0946        3.000
-1.8888       0.0851        3.000
-2.012        0.1072        3.000
-2.1238       0.1634        3.000
-2.218        0.2458        3.000
-2.2783       0.3551        3.000
-2.3032       0.4779        3.000
-2.3051       0.6033        3.000
-2.2916       0.7281        3.000
-2.2663       0.851         3.000
-2.2311       0.9715        3.000
-2.1876       1.0892        3.000
X             Y              Z
-2.1367       1.204          3.000
-2.0795       1.3158         3.000
-2.0164       1.4243         3.000
-1.9477       1.5294         3.000
-1.8738       1.6308         3.000
-1.7947       1.7283         3.000
-1.7106       1.8216         3.000
-1.6216       1.9102         3.000
-1.5278       1.9936         3.000
-1.4292       2.0713         3.000
-1.326        2.1428         3.000
-1.2183       2.2073         3.000
-1.1065       2.2642         3.000
-0.9907       2.3128         3.000
-0.8714       2.3518         3.000
-0.7491       2.3801         3.000
-0.6247       2.3969         3.000
-0.4993       2.4016         3.000
-0.374        2.3938         3.000
-0.2502       2.3733         3.000
-0.1292       2.3401         3.000
-0.0118       2.2955         3.000
0.1009        2.2403         3.000
0.2084        2.1755         3.000
0.3103        2.1022         3.000
0.4068        2.0219         3.000
0.4982        1.9359         3.000
0.585         1.8452         3.000
0.6675        1.7505         3.000
0.7459        1.6525         3.000
0.8205        1.5515         3.000
0.8917        1.448          3.000
0.9598        1.3425         3.000
1.0252        1.2354         3.000
1.0884        1.1269         3.000
1.1496        1.0172         3.000
1.209         0.9067         3.000
1.2668        0.7952         3.000
1.3231        0.683          3.000
1.3781        0.5701         3.000
1.4318        0.4566         3.000
1.4845        0.3426         3.000
1.5363        0.2283         3.000
1.5873        0.1135         3.000
1.6376        -0.0015        3.000
1.6871        -0.1169        3.000
X            Y              Z
1.736        -0.2326        3.000
1.7842       -0.3485        3.000
1.8319       -0.4647        3.000
1.8791       -0.581         3.000
1.9258       -0.6976        3.000
1.972        -0.8143        3.000
2.0178       -0.9312        3.000
2.0632       -1.0483        3.000
2.1082       -1.1655        3.000
2.1528       -1.2829        3.000
2.197        -1.4004        3.000
2.2409       -1.518         3.000
2.2845       -1.6358        3.000
2.3279       -1.7536        3.000
2.3706       -1.8717        3.000
2.4123       -1.9901        3.000
2.4556       -2.108         3.000
2.4906       -2.2278        3.000
2.4183       -2.3296        3.500
2.301        -2.3088        3.500
2.2365       -2.201         3.500
2.1778       -2.0891        3.500
2.1178       -1.978         3.500
2.0573       -1.8672        3.500
1.9959       -1.7568        3.500
1.9334       -1.647         3.500
1.8696       -1.538         3.500
1.8043       -1.4299        3.500
1.7374       -1.3228        3.500
1.669        -1.2166        3.500
1.5988       -1.1116        3.500
1.527        -1.0077        3.500
1.4534       -0.9051        3.500
1.3779       -0.8038        3.500
1.3005       -0.704         3.500
1.2211       -0.6058        3.500
1.1395       -0.5094        3.500
1.0556       -0.4151        3.500
0.9692       -0.3229        3.500
0.8802       -0.2333        3.500
0.7887       -0.1463        3.500
0.6945       -0.0622        3.500
0.5973       0.0185         3.500
0.4971       0.0953         3.500
0.3935       0.1675         3.500
0.2864       0.2345         3.500
X             Y             Z
0.1758        0.2954        3.500
0.0617        0.3495        3.500
-0.0557       0.396         3.500
-0.1762       0.4338        3.500
-0.2993       0.4621        3.500
-0.4243       0.4798        3.500
-0.5503       0.4864        3.500
-0.6765       0.482         3.500
-0.8019       0.4672        3.500
-0.9257       0.4424        3.500
-1.0475       0.409         3.500
-1.1672       0.3687        3.500
-1.2853       0.3239        3.500
-1.4023       0.2764        3.500
-1.5192       0.2287        3.500
-1.6374       0.1842        3.500
-1.7586       0.1487        3.500
-1.8835       0.1317        3.500
-2.0088       0.1441        3.500
-2.1246       0.1932        3.500
-2.2219       0.273         3.500
-2.2857       0.381         3.500
-2.312        0.5043        3.500
-2.3155       0.6304        3.500
-2.3032       0.7561        3.500
-2.2792       0.88          3.500
-2.2454       1.0017        3.500
-2.2032       1.1207        3.500
-2.1537       1.2369        3.500
-2.0977       1.35          3.500
-2.0355       1.46          3.500
-1.9675       1.5664        3.500
-1.8941       1.6691        3.500
-1.8155       1.7679        3.500
-1.7317       1.8624        3.500
-1.6429       1.9523        3.500
-1.5492       2.0369        3.500
-1.4505       2.1156        3.500
-1.3469       2.1879        3.500
-1.2387       2.253         3.500
-1.1262       2.3103        3.500
-1.0097       2.359         3.500
-0.8896       2.3977        3.500
-0.7664       2.4255        3.500
-0.6411       2.4413        3.500
-0.5149       2.4447        3.500
X             Y              Z
-0.3891       2.4352         3.500
-0.2648       2.4127         3.500
-0.1436       2.3776         3.500
-0.0262       2.331          3.500
0.0864        2.2739         3.500
0.1936        2.2072         3.500
0.2953        2.1324         3.500
0.3915        2.0506         3.500
0.4827        1.9632         3.500
0.5692        1.8713         3.500
0.6515        1.7755         3.500
0.7298        1.6764         3.500
0.8044        1.5744         3.500
0.8755        1.4701         3.500
0.9437        1.3638         3.500
1.0092        1.2558         3.500
1.0724        1.1464         3.500
1.1337        1.036          3.500
1.1933        0.9247         3.500
1.2513        0.8125         3.500
1.3078        0.6995         3.500
1.363         0.5859         3.500
1.4169        0.4717         3.500
1.4699        0.3571         3.500
1.5219        0.242          3.500
1.5732        0.1266         3.500
1.6236        0.0108         3.500
1.6734        -0.1053        3.500
1.7225        -0.2217        3.500
1.771         -0.3383        3.500
1.8189        -0.4551        3.500
1.8663        -0.5722        3.500
1.9133        -0.6894        3.500
1.9598        -0.8069        3.500
2.0058        -0.9245        3.500
2.0515        -1.0422        3.500
2.0967        -1.1602        3.500
2.1416        -1.2782        3.500
2.1861        -1.3964        3.500
2.2302        -1.5147        3.500
2.2741        -1.6332        3.500
2.3178        -1.7517        3.500
2.3608        -1.8704        3.500
2.4028        -1.9895        3.500
2.4464        -2.108         3.500
2.4818        -2.2285        3.500
X             Y             Z
2.41          -2.3302       4.000
2.2923        -2.3094       4.000
2.2274        -2.2011       4.000
2.1684        -2.0889       4.000
2.1082        -1.9773       4.000
2.0475        -1.8659       4.000
1.9862        -1.7549       4.000
1.9239        -1.6445       4.000
1.8604        -1.5347       4.000
1.7956        -1.4257       4.000
1.7294        -1.3175       4.000
1.6617        -1.2103       4.000
1.5924        -1.1041       4.000
1.5215        -0.9989       4.000
1.4489        -0.895        4.000
1.3745        -0.7923       4.000
1.2983        -0.6909       4.000
1.22          -0.5911       4.000
1.1396        -0.493        4.000
1.057         -0.3969       4.000
0.9719        -0.3028       4.000
0.8843        -0.2112       4.000
0.7941        -0.122        4.000
0.7012        -0.0357       4.000
0.6053        0.0473        4.000
0.5063        0.1265        4.000
0.4039        0.2013        4.000
0.2978        0.2708        4.000
0.1881        0.3343        4.000
0.0747        0.391         4.000
-0.0423       0.4401        4.000
-0.1624       0.4807        4.000
-0.2853       0.5117        4.000
-0.4104       0.5323        4.000
-0.5368       0.5416        4.000
-0.6636       0.5398        4.000
-0.7897       0.5274        4.000
-0.9145       0.505         4.000
-1.0373       0.4735        4.000
-1.1581       0.4348        4.000
-1.2771       0.3909        4.000
-1.3949       0.3439        4.000
-1.5122       0.2957        4.000
-1.6302       0.2493        4.000
-1.7506       0.2095        4.000
-1.8748       0.185         4.000
X              Y             Z
-2.0013        0.1864        4.000
-2.1211        0.226         4.000
-2.2227        0.3011        4.000
-2.2915        0.4065        4.000
-2.32          0.5298        4.000
-2.3252        0.6564        4.000
-2.3145        0.7827        4.000
-2.2921        0.9074        4.000
-2.2598        1.0301        4.000
-2.219         1.1501        4.000
-2.1708        1.2674        4.000
-2.1159        1.3817        4.000
-2.0548        1.4927        4.000
-1.9877        1.6004        4.000
-1.915         1.7043        4.000
-1.8369        1.8042        4.000
-1.7536        1.8997        4.000
-1.6649        1.9904        4.000
-1.5712        2.0757        4.000
-1.4723        2.1551        4.000
-1.3684        2.2278        4.000
-1.2597        2.2931        4.000
-1.1465        2.3503        4.000
-1.0293        2.3984        4.000
-0.9083        2.4364        4.000
-0.7844        2.4629        4.000
-0.6584        2.4771        4.000
-0.5316        2.4785        4.000
-0.4054        2.4669        4.000
-0.2811        2.4421        4.000
-0.1599        2.4048        4.000
-0.0429        2.356         4.000
0.0692         2.2968        4.000
0.176          2.2285        4.000
0.2772         2.1522        4.000
0.373          2.0691        4.000
0.4638         1.9806        4.000
0.55           1.8876        4.000
0.6321         1.791         4.000
0.7103         1.6911        4.000
0.7849         1.5886        4.000
0.8562         1.4837        4.000
0.9246         1.3769        4.000
0.9903         1.2685        4.000
1.0538         1.1587        4.000
1.1154         1.0478        4.000
X              Y              Z
1.1752         0.936          4.000
1.2335         0.8234         4.000
1.2903         0.71           4.000
1.3458         0.596          4.000
1.4001         0.4814         4.000
1.4533         0.3663         4.000
1.5057         0.2508         4.000
1.5572         0.1349         4.000
1.6079         0.0187         4.000
1.658          -0.0978        4.000
1.7074         -0.2146        4.000
1.7561         -0.3317        4.000
1.8043         -0.449         4.000
1.852          -0.5665        4.000
1.8992         -0.6842        4.000
1.946          -0.8021        4.000
1.9923         -0.9201        4.000
2.0383         -1.0383        4.000
2.0839         -1.1567        4.000
2.1291         -1.2752        4.000
2.174          -1.3938        4.000
2.2185         -1.5125        4.000
2.2629         -1.6313        4.000
2.307          -1.7502        4.000
2.3505         -1.8693        4.000
2.393          -1.9888        4.000
2.4372         -2.1077        4.000
2.4732         -2.2285        4.000
2.4023         -2.331         4.500
2.2841         -2.311         4.500
2.2186         -2.2028        4.500
2.1591         -2.0904        4.500
2.0985         -1.9787        4.500
2.0376         -1.8671        4.500
1.9762         -1.7558        4.500
1.9141         -1.6449        4.500
1.851          -1.5346        4.500
1.7867         -1.4249        4.500
1.7211         -1.316         4.500
1.6542         -1.2079        4.500
1.5859         -1.1008        4.500
1.516          -0.9946        4.500
1.4445         -0.8895        4.500
1.3714         -0.7855        4.500
1.2964         -0.6828        4.500
1.2195         -0.5816        4.500
X             Y              Z
1.1405        -0.482         4.500
1.0593        -0.3843        4.500
0.9756        -0.2886        4.500
0.8894        -0.1952        4.500
0.8005        -0.1043        4.500
0.7089        -0.0162        4.500
0.6143        0.0687         4.500
0.5165        0.1499         4.500
0.4152        0.2266         4.500
0.3102        0.2982         4.500
0.2014        0.364          4.500
0.0889        0.4231         4.500
-0.0272       0.4747         4.500
-0.1468       0.5179         4.500
-0.2692       0.5518         4.500
-0.3941       0.5755         4.500
-0.5205       0.5882         4.500
-0.6476       0.59           4.500
-0.7744       0.5812         4.500
-0.9001       0.5625         4.500
-1.0241       0.5346         4.500
-1.1461       0.4992         4.500
-1.2664       0.4581         4.500
-1.3852       0.413          4.500
-1.5033       0.3659         4.500
-1.6215       0.3192         4.500
-1.7413       0.2766         4.500
-1.8644       0.2453         4.500
-1.9908       0.2351         4.500
-2.1143       0.262          4.500
-2.2207       0.3306         4.500
-2.296        0.4317         4.500
-2.3278       0.5543         4.500
-2.3347       0.6812         4.500
-2.3258       0.8079         4.500
-2.3049       0.9333         4.500
-2.2743       1.0566         4.500
-2.2349       1.1774         4.500
-2.1879       1.2955         4.500
-2.1341       1.4107         4.500
-2.0739       1.5226         4.500
-2.0078       1.6311         4.500
-1.9358       1.7359         4.500
-1.8584       1.8367         4.500
-1.7754       1.933          4.500
-1.6869       2.0242         4.500
X             Y              Z
-1.5931       2.1099         4.500
-1.494        2.1895         4.500
-1.3897       2.2622         4.500
-1.2806       2.3273         4.500
-1.1668       2.3839         4.500
-1.0488       2.4311         4.500
-0.9271       2.4677         4.500
-0.8025       2.4925         4.500
-0.676        2.5044         4.500
-0.549        2.5031         4.500
-0.4227       2.4887         4.500
-0.2987       2.4613         4.500
-0.1781       2.4213         4.500
-0.0618       2.37           4.500
0.0495        2.3087         4.500
0.1555        2.2386         4.500
0.2561        2.1609         4.500
0.3514        2.0768         4.500
0.4417        1.9874         4.500
0.5276        1.8937         4.500
0.6096        1.7965         4.500
0.6877        1.6963         4.500
0.7625        1.5935         4.500
0.834         1.4884         4.500
0.9027        1.3815         4.500
0.9688        1.2729         4.500
1.0327        1.163          4.500
1.0947        1.0521         4.500
1.155         0.9402         4.500
1.2137        0.8274         4.500
1.271         0.7139         4.500
1.3268        0.5998         4.500
1.3815        0.485          4.500
1.4352        0.3698         4.500
1.4879        0.2541         4.500
1.5397        0.138          4.500
1.5908        0.0216         4.500
1.6411        -0.0951        4.500
1.6908        -0.2121        4.500
1.7399        -0.3294        4.500
1.7883        -0.4469        4.500
1.8363        -0.5646        4.500
1.8838        -0.6825        4.500
1.9309        -0.8006        4.500
1.9776        -0.9188        4.500
2.0239        -1.0372        4.500
X              Y              Z
2.0698         -1.1557        4.500
2.1154         -1.2744        4.500
2.1607         -1.3931        4.500
2.2058         -1.512         4.500
2.2506         -1.631         4.500
2.2953         -1.75          4.500
2.3395         -1.8691        4.500
2.3827         -1.9887        4.500
2.4275         -2.1076        4.500
2.4645         -2.2285        4.500
2.3931         -2.3326        5.000
2.2747         -2.313         5.000
2.2086         -2.2051        5.000
2.1484         -2.0929        5.000
2.0873         -1.9813        5.000
2.0261         -1.8698        5.000
1.9645         -1.7585        5.000
1.9023         -1.6475        5.000
1.8394         -1.5369        5.000
1.7755         -1.4269        5.000
1.7105         -1.3175        5.000
1.6444         -1.2088        5.000
1.5769         -1.101         5.000
1.508          -0.994         5.000
1.4377         -0.888         5.000
1.3657         -0.7831        5.000
1.292          -0.6793        5.000
1.2165         -0.577         5.000
1.1389         -0.4761        5.000
1.0591         -0.3771        5.000
0.9769         -0.28          5.000
0.8921         -0.1851        5.000
0.8046         -0.0927        5.000
0.7144         -0.0031        5.000
0.6211         0.0834         5.000
0.5245         0.1662         5.000
0.4244         0.2447         5.000
0.3206         0.3183         5.000
0.213          0.3863         5.000
0.1017         0.4477         5.000
-0.0135        0.5018         5.000
-0.1321        0.5476         5.000
-0.2539        0.5844         5.000
-0.3781        0.6115         5.000
-0.5042        0.6282         5.000
-0.6313        0.634          5.000
X              Y             Z
-0.7584        0.6295        5.000
-0.8849        0.6155        5.000
-1.01          0.5925        5.000
-1.1334        0.5616        5.000
-1.2551        0.5245        5.000
-1.3752        0.4828        5.000
-1.4943        0.438         5.000
-1.6131        0.3924        5.000
-1.7326        0.3487        5.000
-1.8545        0.3125        5.000
-1.9799        0.292         5.000
-2.1059        0.3041        5.000
-2.2178        0.363         5.000
-2.3005        0.4584        5.000
-2.3362        0.5799        5.000
-2.3451        0.7067        5.000
-2.3376        0.8337        5.000
-2.318         0.9594        5.000
-2.2888        1.0832        5.000
-2.2509        1.2046        5.000
-2.2052        1.3233        5.000
-2.1527        1.4392        5.000
-2.0937        1.5519        5.000
-2.0284        1.6611        5.000
-1.9571        1.7664        5.000
-1.8801        1.8677        5.000
-1.7975        1.9644        5.000
-1.7092        2.056         5.000
-1.6155        2.142         5.000
-1.5162        2.2215        5.000
-1.4116        2.2939        5.000
-1.3019        2.3582        5.000
-1.1874        2.4137        5.000
-1.0686        2.4591        5.000
-0.9462        2.4935        5.000
-0.821         2.5158        5.000
-0.6941        2.5248        5.000
-0.567         2.5201        5.000
-0.4411        2.5022        5.000
-0.3177        2.4714        5.000
-0.1981        2.4282        5.000
-0.0831        2.374         5.000
0.027          2.3103        5.000
0.1319         2.2383        5.000
0.2315         2.1592        5.000
0.326          2.074         5.000
X            Y              Z
0.4157       1.9838         5.000
0.5013       1.8897         5.000
0.583        1.7922         5.000
0.6612       1.6918         5.000
0.736        1.5889         5.000
0.8078       1.4839         5.000
0.8768       1.377          5.000
0.9433       1.2686         5.000
1.0077       1.1588         5.000
1.0703       1.048          5.000
1.1311       0.9363         5.000
1.1903       0.8237         5.000
1.2481       0.7103         5.000
1.3045       0.5963         5.000
1.3596       0.4816         5.000
1.4137       0.3665         5.000
1.4668       0.2509         5.000
1.5191       0.1349         5.000
1.5706       0.0185         5.000
1.6213       -0.0982        5.000
1.6713       -0.2151        5.000
1.7207       -0.3324        5.000
1.7696       -0.4499        5.000
1.8179       -0.5676        5.000
1.8658       -0.6854        5.000
1.9133       -0.8035        5.000
1.9603       -0.9217        5.000
2.0071       -1.04          5.000
2.0535       -1.1585        5.000
2.0996       -1.277         5.000
2.1455       -1.3957        5.000
2.1912       -1.5144        5.000
2.2367       -1.6333        5.000
2.282        -1.7521        5.000
2.3272       -1.8711        5.000
2.3714       -1.9904        5.000
2.417        -2.1092        5.000
2.4549       -2.2299        5.000
2.3848       -2.3337        5.500
2.2662       -2.3147        5.500
2.1992       -2.2072        5.500
2.1382       -2.0955        5.500
2.0762       -1.9844        5.500
2.0142       -1.8733        5.500
1.952        -1.7622        5.500
1.8894       -1.6514        5.500
X             Y             Z
1.8262        -1.541        5.500
1.7621        -1.431        5.500
1.6972        -1.3216       5.500
1.6311        -1.2128       5.500
1.564         -1.1047       5.500
1.4956        -0.9974       5.500
1.4258        -0.891        5.500
1.3546        -0.7855       5.500
1.2818        -0.6811       5.500
1.2073        -0.578        5.500
1.1308        -0.4762       5.500
1.0523        -0.3761       5.500
0.9715        -0.2777       5.500
0.8883        -0.1815       5.500
0.8025        -0.0875       5.500
0.7139        0.0039        5.500
0.6225        0.0924        5.500
0.5278        0.1774        5.500
0.4296        0.2584        5.500
0.3279        0.3348        5.500
0.2223        0.4059        5.500
0.1129        0.4709        5.500
-0.0003       0.5289        5.500
-0.1173       0.579         5.500
-0.2376       0.6204        5.500
-0.3607       0.6524        5.500
-0.4861       0.6742        5.500
-0.6128       0.6851        5.500
-0.7401       0.6856        5.500
-0.8669       0.6762        5.500
-0.9928       0.6577        5.500
-1.1172       0.6309        5.500
-1.2399       0.5972        5.500
-1.3611       0.5582        5.500
-1.4808       0.5152        5.500
-1.5999       0.4703        5.500
-1.7195       0.4269        5.500
-1.8409       0.3888        5.500
-1.9652       0.3617        5.500
-2.092        0.3605        5.500
-2.2103       0.4049        5.500
-2.3013       0.4925        5.500
-2.3444       0.6112        5.500
-2.3544       0.738         5.500
-2.3478       0.865         5.500
-2.329        0.9908        5.500
X             Y             Z
-2.301        1.1149        5.500
-2.2646       1.2369        5.500
-2.2207       1.3563        5.500
-2.1699       1.473         5.500
-2.1128       1.5867        5.500
-2.0494       1.697         5.500
-1.9798       1.8035        5.500
-1.9043       1.9059        5.500
-1.8228       2.0036        5.500
-1.7353       2.096         5.500
-1.6418       2.1824        5.500
-1.5425       2.2619        5.500
-1.4375       2.3337        5.500
-1.327        2.3967        5.500
-1.2114       2.45          5.500
-1.0915       2.4924        5.500
-0.968        2.5228        5.500
-0.842        2.5407        5.500
-0.7149       2.545         5.500
-0.588        2.5356        5.500
-0.4629       2.5129        5.500
-0.3406       2.4778        5.500
-0.2223       2.4311        5.500
-0.1086       2.3739        5.500
0             2.3077        5.500
0.1036        2.2338        5.500
0.202         2.1532        5.500
0.2956        2.0669        5.500
0.3846        1.976         5.500
0.4696        1.8813        5.500
0.551         1.7834        5.500
0.6289        1.6828        5.500
0.7036        1.5798        5.500
0.7754        1.4747        5.500
0.8445        1.3679        5.500
0.9113        1.2596        5.500
0.976         1.1499        5.500
1.0388        1.0393        5.500
1.1           0.9277        5.500
1.1596        0.8152        5.500
1.2177        0.702         5.500
1.2746        0.5882        5.500
1.3303        0.4738        5.500
1.3849        0.3588        5.500
1.4385        0.2434        5.500
1.4913        0.1276        5.500
X             Y              Z
1.5434        0.0115         5.500
1.5947        -0.105         5.500
1.6454        -0.2217        5.500
1.6955        -0.3387        5.500
1.745         -0.4559        5.500
1.7941        -0.5733        5.500
1.8428        -0.6909        5.500
1.8911        -0.8087        5.500
1.9391        -0.9265        5.500
1.9867        -1.0445        5.500
2.0341        -1.1626        5.500
2.0813        -1.2809        5.500
2.1282        -1.3991        5.500
2.175         -1.5175        5.500
2.2217        -1.6359        5.500
2.2684        -1.7543        5.500
2.3146        -1.8728        5.500
2.3599        -1.9918        5.500
2.4067        -2.1101        5.500
2.4459        -2.2304        5.500
2.376         -2.3339        6.000
2.2574        -2.316         6.000
2.1895        -2.2092        6.000
2.1278        -2.0981        6.000
2.0649        -1.9875        6.000
2.0021        -1.877         6.000
1.9391        -1.7665        6.000
1.8758        -1.6563        6.000
1.8119        -1.5463        6.000
1.7474        -1.4368        6.000
1.6819        -1.3277        6.000
1.6156        -1.2193        6.000
1.5482        -1.1114        6.000
1.4797        -1.0043        6.000
1.41          -0.898         6.000
1.3389        -0.7925        6.000
1.2665        -0.688         6.000
1.1925        -0.5846        6.000
1.1168        -0.4824        6.000
1.0392        -0.3817        6.000
0.9595        -0.2827        6.000
0.8775        -0.1854        6.000
0.7932        -0.0902        6.000
0.7064        0.0027         6.000
0.6169        0.0929         6.000
0.5243        0.1801         6.000
X             Y             Z
0.4285        0.2637        6.000
0.3292        0.3431        6.000
0.2262        0.4177        6.000
0.1196        0.4869        6.000
0.009         0.5497        6.000
-0.1053       0.6053        6.000
-0.2232       0.6528        6.000
-0.3444       0.6913        6.000
-0.4682       0.72          6.000
-0.5941       0.738         6.000
-0.721        0.7452        6.000
-0.8481       0.742         6.000
-0.9745       0.7292        6.000
-1.0998       0.7073        6.000
-1.2234       0.6777        6.000
-1.3454       0.6418        6.000
-1.4659       0.6012        6.000
-1.5854       0.5578        6.000
-1.7049       0.5143        6.000
-1.8255       0.4742        6.000
-1.9486       0.4424        6.000
-2.0749       0.4297        6.000
-2.1983       0.4564        6.000
-2.2983       0.5332        6.000
-2.3517       0.647         6.000
-2.3629       0.7735        6.000
-2.3563       0.9004        6.000
-2.3376       1.0262        6.000
-2.3099       1.1503        6.000
-2.2746       1.2724        6.000
-2.2321       1.3922        6.000
-2.1829       1.5095        6.000
-2.1276       1.6239        6.000
-2.0661       1.7352        6.000
-1.9985       1.8429        6.000
-1.9248       1.9465        6.000
-1.8448       2.0453        6.000
-1.7584       2.1386        6.000
-1.6656       2.2255        6.000
-1.5664       2.305         6.000
-1.4612       2.3763        6.000
-1.35         2.438         6.000
-1.2336       2.4888        6.000
-1.1125       2.5276        6.000
-0.988        2.5533        6.000
-0.8615       2.5655        6.000
X            Y             Z
-0.7345      2.5638        6.000
-0.6083      2.5482        6.000
-0.4844      2.5198        6.000
-0.3638      2.4797        6.000
-0.2473      2.4288        6.000
-0.1356      2.3681        6.000
-0.0288      2.2992        6.000
0.0731       2.2232        6.000
0.1702       2.1411        6.000
0.2626       2.0538        6.000
0.3507       1.9621        6.000
0.435        1.8669        6.000
0.5157       1.7687        6.000
0.5933       1.6679        6.000
0.6678       1.5649        6.000
0.7395       1.4599        6.000
0.8086       1.3532        6.000
0.8755       1.245         6.000
0.9404       1.1356        6.000
1.0035       1.0253        6.000
1.065        0.914         6.000
1.125        0.8018        6.000
1.1836       0.689         6.000
1.241        0.5755        6.000
1.2972       0.4615        6.000
1.3525       0.347         6.000
1.4068       0.232         6.000
1.4604       0.1167        6.000
1.5133       0.0011        6.000
1.5655       -0.1149       6.000
1.617        -0.2311       6.000
1.6681       -0.3476       6.000
1.7186       -0.4643       6.000
1.7688       -0.5811       6.000
1.8185       -0.6981       6.000
1.8679       -0.8153       6.000
1.917        -0.9326       6.000
1.9658       -1.05         6.000
2.0144       -1.1675       6.000
2.0627       -1.2852       6.000
2.1108       -1.4029       6.000
2.1588       -1.5206       6.000
2.2066       -1.6384       6.000
2.2542       -1.7563       6.000
2.3017       -1.8743       6.000
2.3483       -1.9926       6.000
X             Y              Z
2.3961        -2.1104        6.000
2.4364        -2.2303        6.000
2.3687        -2.3355        6.500
2.25          -2.3186        6.500
2.1819        -2.2124        6.500
2.1196        -2.102         6.500
2.0564        -1.992         6.500
1.9932        -1.8821        6.500
1.9297        -1.7723        6.500
1.8658        -1.6628        6.500
1.8013        -1.5535        6.500
1.7362        -1.4448        6.500
1.6702        -1.3365        6.500
1.6033        -1.2287        6.500
1.5355        -1.1216        6.500
1.4666        -1.0151        6.500
1.3965        -0.9094        6.500
1.3252        -0.8045        6.500
1.2526        -0.7006        6.500
1.1786        -0.5976        6.500
1.1029        -0.4958        6.500
1.0256        -0.3954        6.500
0.9463        -0.2964        6.500
0.865         -0.199         6.500
0.7815        -0.1036        6.500
0.6958        -0.0101        6.500
0.6076        0.081          6.500
0.5167        0.1694         6.500
0.4228        0.2547         6.500
0.3258        0.3363         6.500
0.2254        0.4138         6.500
0.1215        0.4865         6.500
0.014         0.5537         6.500
-0.0972       0.6147         6.500
-0.212        0.6685         6.500
-0.3302       0.7141         6.500
-0.4516       0.7508         6.500
-0.5755       0.7775         6.500
-0.7013       0.7938         6.500
-0.8279       0.7996         6.500
-0.9546       0.7953         6.500
-1.0806       0.7812         6.500
-1.2053       0.7583         6.500
-1.3284       0.7278         6.500
-1.4498       0.6911         6.500
-1.5697       0.6497         6.500
X             Y             Z
-1.6889       0.6066        6.500
-1.8085       0.5644        6.500
-1.9295       0.5264        6.500
-2.0538       0.5021        6.500
-2.1796       0.51          6.500
-2.2886       0.5721        6.500
-2.3525       0.6799        6.500
-2.3661       0.8056        6.500
-2.3589       0.9322        6.500
-2.3404       1.0576        6.500
-2.3126       1.1813        6.500
-2.2768       1.303         6.500
-2.2343       1.4224        6.500
-2.1856       1.5395        6.500
-2.131        1.654         6.500
-2.0705       1.7654        6.500
-2.0039       1.8733        6.500
-1.9313       1.9772        6.500
-1.8523       2.0764        6.500
-1.767        2.1702        6.500
-1.675        2.2574        6.500
-1.5764       2.3371        6.500
-1.4712       2.4079        6.500
-1.3599       2.4686        6.500
-1.2429       2.5173        6.500
-1.1212       2.5526        6.500
-0.9962       2.5738        6.500
-0.8697       2.5809        6.500
-0.7431       2.5737        6.500
-0.6182       2.5523        6.500
-0.4962       2.518         6.500
-0.3779       2.4724        6.500
-0.264        2.4167        6.500
-0.1548       2.3522        6.500
-0.0505       2.2802        6.500
0.0491        2.2017        6.500
0.1443        2.118         6.500
0.2353        2.0296        6.500
0.3223        1.9374        6.500
0.4058        1.842         6.500
0.486         1.7437        6.500
0.5632        1.6431        6.500
0.6375        1.5403        6.500
0.7091        1.4357        6.500
0.7784        1.3295        6.500
0.8455        1.2219        6.500
X            Y             Z
0.9106       1.1131        6.500
0.9741       1.0033        6.500
1.0361       0.8927        6.500
1.0967       0.7813        6.500
1.156        0.6692        6.500
1.2141       0.5565        6.500
1.2712       0.4432        6.500
1.3274       0.3295        6.500
1.3827       0.2154        6.500
1.4373       0.1009        6.500
1.4912       -0.0138       6.500
1.5444       -0.1289       6.500
1.5971       -0.2443       6.500
1.6492       -0.3599       6.500
1.7008       -0.4758       6.500
1.7518       -0.5918       6.500
1.8025       -0.7081       6.500
1.8527       -0.8245       6.500
1.9026       -0.9411       6.500
1.9522       -1.0578       6.500
2.0016       -1.1746       6.500
2.0508       -1.2915       6.500
2.0999       -1.4085       6.500
2.1488       -1.525        6.500
2.1976       -1.642        6.500
2.2459       -1.7598       6.500
2.2932       -1.877        6.500
2.3396       -1.9954       6.500
2.3882       -2.1126       6.500
2.4288       -2.2319       6.500
还应知道，表1中所公开的翼面可按几何比例放大或缩小以用于其他类似的涡轮设计。因此，在表1中所给出的坐标值可以按比例放大或缩小而使得翼面断面形状保持不变。表1中的坐标的按比例改变的模型用X，Y，Z值乘以或除以同一常数或数字来表达。
现在参看图8，表示了一个涡轮，其中可采用被限定的涡轮叶片翼面。在所显示的涡轮中，涡轮转子，标号为40，包括安装了叶片的转子叶轮42，而这叶片与定子叶片栅一起，形成了转子的各个级。尤其是，第1级46包括一个第1级转子叶轮44，在它上面的叶片17具有翼面10，叶片17与第1级定子叶片48对置。还应知道若干翼面10是在第1级叶轮44的圆周上间隔排列的，因此在这情况下，在第1级叶轮44上安装了60个叶片。
虽然已结合目前认为是最实际和优选的实施例说明了本发明，应该认识到，本发明并不限制于所公开的实施例，而相反，本发明要覆盖在所附权利要求书的精神与范围内所包含的各种改进和等同的结构。

Claims (4)

1.一种具有叶片翼面(10)的涡轮叶片(17)，该翼面(10)为一个沿垂直于任何翼面表面位置方向处在离该表面±0.100英寸内的包络面，其中翼面(10)具有一个不含涂层的名义轮廓该名义轮廓，实际上符合表1所给出的仅取小数点后三位的X，Y，Z笛卡儿坐标值，其中Z是离一个垂直于从涡轮中心线出发的半径并且包含X，Y值的平面的垂直距离，而Z值则是以在该翼面的径向最内端空气动力学断面处的X，Y平面上的零点为其始点，X，Y是确定在每个距离Z处的翼面轮廓的坐标，在这些Z距离处的轮廓互相平滑地连接起来以构成完整的翼面形状。
2.一个具有不含涂层的名义翼面轮廓(10)的涡轮叶片(17)，该翼面轮廓(10)实际上符合表1所给出的仅取小数点后三位的X，Y，Z笛卡儿坐标值，其中Z是离一个垂直于涡轮中心线的半径并且包含X，Y值的平面的垂直距离，而Z值则是以在该翼面的径向最内端空气动力学断面处的X，Y平面上的零点为其始点，X，Y是确定在每个距离Z处的翼面轮廓的坐标，在这些Z距离处的轮廓互相平滑地连接起来以构成完整的翼面形状。
X，Y和Z值可作为相一常数或数字的函数被改变比例，以产生按比例放大或缩小的叶片翼面。
3.一种包括一个具有若干叶片(17)的涡轮叶轮(44)的涡轮，每个所述叶片的翼面(10)为沿垂直于任何叶片翼面表面位置方向处于±0.100英寸内的包络面，其中翼面(10)的不含涂层的名义轮廓实际上符合表1所给出的仅取小数点后三位的X，Y，Z笛卡儿坐标值，其中Z是离一个垂直于从涡轮中心线出发的半径并且包含X，Y值的平面的垂直距离，而Z值则是以在该翼面的径向最内端空气动力学断面处的X，Y平面上的零点为其始点，X，Y是确定在每个距离Z处的翼面轮廓的坐标，在这些Z距离处的轮廓互相平滑地连接起来以构成完整的翼面形状。
4.一种涡轮，这个叶轮(44)包括一个具有若干叶片(17)的涡轮叶轮(44)的涡轮，每个所述叶片的不含涂层的名义翼面轮廓(10)实际上符合表1所给出的仅取小数点后三位的X，Y，Z笛卡儿坐标值，其中Z是离一个垂直于从涡轮中心线出发的半径并且包含X，Y值的平面的垂直距离，而Z值则是以在该翼面的径向最内端空气动力学断面处的X，Y平面上的零点为其始点，X，Y是确定在每个距离Z处的翼面轮廓的坐标，在这些Z距离处的轮廓互相平滑地连接起来以构成完整的翼面形状。
X，Y，Z值可作为同一常数或数字的函数被改变比例，以产生按比例放大或缩小的叶片翼面。
CNB028170946A 2001-07-11 2002-07-09 第1级高压涡轮叶片叶型 Expired - Fee Related CN100347408C (zh)

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CN101377306B (zh) * 2007-08-31 2012-03-14 通用电气公司 涡轮机喷嘴的翼面形状
CN103510998A (zh) * 2013-09-26 2014-01-15 哈尔滨汽轮机厂有限责任公司 一种适用于20-30wm等级的燃机涡轮第一级动叶片

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