航空发动机叶片三坐标测量优化采样方法
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摘要
针对航空发动机叶片三坐标检测测量效率低的问题,提出了一种适用于翼型曲面三坐标测量优化采样算法。基于杠杆平衡系统,对现有采样算法做了统一的数学描述;并通过引入挠率信息,使得曲率-弧长采样算法适用于空间曲线,并在此基础上研究了基于前、后缘线选取叶片被测截面的算法;研究了弧长分量与曲率分量的比例系数的优化方法。最后,对多个叶片模型进行采样实验,计算重构误差并与等参数采样、等弧长采样、曲率采样、等弦公差采样、加权曲率采样算法对比,结果表明优化采样算法精度提高11.2%以上,与等步长采样方法对比,测点数减少92.3%。
In view of the inefficiency of inspecting aero-engine blades with coordinates measuring machine,unified mathematical descriptions of common sampling algorithms were proposed based on lever system,meanwhile,an optimal sampling algorithm for airfoil surfaces inspection with coordinate measuring machine was presented.By introducing torsion information,the curvature-arc sampling algorithm was appropriate to space curves,and based on this,the algorithm for sampling cross sections on the blade surface through the leading and the trailing edge curves was proposed.And the optimization method of weights in curvature-arc sampling was researched also.Finally,several experiments for different blades were implemented,and the comparisons of optimal sampling points'reconstruction errors with those of equal-parameter sampling,equal-arc sampling,curvature-based sampling,equal-deviation sampling and weighted curvature-based sampling were made.The results indicate that the accuracy of optimal sampling is 11.2%higher at least.And the number of optimal sampling points is 92.3%less than equal-step sampling which is used widely in practice.
In view of the inefficiency of inspecting aero-engine blades with coordinates measuring machine,unified mathematical descriptions of common sampling algorithms were proposed based on lever system,meanwhile,an optimal sampling algorithm for airfoil surfaces inspection with coordinate measuring machine was presented.By introducing torsion information,the curvature-arc sampling algorithm was appropriate to space curves,and based on this,the algorithm for sampling cross sections on the blade surface through the leading and the trailing edge curves was proposed.And the optimization method of weights in curvature-arc sampling was researched also.Finally,several experiments for different blades were implemented,and the comparisons of optimal sampling points'reconstruction errors with those of equal-parameter sampling,equal-arc sampling,curvature-based sampling,equal-deviation sampling and weighted curvature-based sampling were made.The results indicate that the accuracy of optimal sampling is 11.2%higher at least.And the number of optimal sampling points is 92.3%less than equal-step sampling which is used widely in practice.
引文
[1] LI W,ZHOU L,YAN S J.A case study of blade inspection based on optical scanning method[J].International Journal of Production Research,2015,53(7):2165-2178.
[2]魏永超,赵伟.航空发动机叶片高精度自动测量系统[J].航空动力学报,2017,32(3):513-518.WEI Yongchao,ZHAO Wei.High precision automatic measurement system for aero engine blade[J].Journal of Aerospace Power,2017,32(3):513-518.(in Chinese)
[3]蔺小军,单晨伟,王增强,等.航空发动机叶片型面三坐标测量机测量技术[J].计算机集成制造系统,2012,18(1):125-131.LIN Xiaojun,SHAN Chenwei,WANG Zengqiang,et al.Measurement techniques of coordinate measuring machine for blade surface of aero-engine[J].Computer Integrated Manufacturing Systems,2012,18(1):125-131.(in Chinese)
[4] AINSWORTH I,RISTIC M,BRUJIC D.CAD-based measurement path planning for free-form shapes using contact probes[J].International Journal of Advanced Manufacturing Technology,2000,16(1):23-31.
[5] LI S Z.Adaptive sampling and mesh generation[J].Computer-Aided Design,1995,27(3):235-240.
[6] LAI Xinmin,LI Zhongqin,ZHAO Ziping.A study of a reverse engineering system based on vision sensor for freeform surfaces[J].Computers and Industrial Engineering,2001,40(3):215-227.
[7] ELKOTT D F,ELMARAGHY H A,ELMARAGHY W H.Automatic sampling for CMM inspection planning of free-form surfaces[J].International Journal of Production Research,2002,40(11):2653-2676.
[8] EDGEWORTH R,WILHELM R G.Adaptive sampling for coordinate metrology[J].Precision Engineering,1999,23(3):144-154.
[9] ASCIONE R,MORONI G,PETRO S,et al.Adaptive inspection in coordinate metrology based on Kriging models[J].Precision Engineering,2013,37(1):44-60.
[10] CHEN Y,PENG C.Intelligent adaptive sampling guided by Gaussian process inference[J].Measurement Science and Technology,2017,28(10):105005.1-105055.11.
[11] YU Mingrang,ZHANG Yingjie,LI Yunlong,et al.Adaptive sampling method for inspection planning on CMM for free-form surfaces[J].International Journal of Advanced Manufacturing Technology,2013,67(9/10/11/12):1967-1975.
[12] XU Y,LI Z.Method for determining the probing points for efficient measurement of freeform surface[J].International Journal of Aerospace and Mechanical Engineering,2008,2(3):187-192.
[13] OBEIDAT S M,RAMAN S.An intelligent sampling method for inspecting free-form surfaces[J].International Journal of Advanced Manufacturing Technology,2009,40(11/12):1125-1136.
[14] REN M,KONG L,SUN L,et al.A curve network sampling strategy for measurement of freeform surfaces on coordinate measuring machines[J].IEEE Transactions on Instrumentation and Measurement,2017,66(11):3032-3043.
[15] ELKOTT D F,VELDHUIS S C.Isoparametric line sampling for the inspection planning of sculptured surfaces[J].Computer-Aided Design,2005,37(2):189-200.
[16] HE G Y,JIA H Y,GUO L Z,et al.Adaptive sampling strategy for free-form surface based on CAD model[R].Advanced Materials Research,2012,542-543(10):541-544.
[17]何改云,季彩霞,郭龙真,等.基于等矩策略的自由曲面测量方法误差分析[J].天津大学学报(自然科学与工程技术版),2016,49(2):128-133.HE Gaiyun,JI Caixia,GUO Longzhen,et al.Analysis of measurement method error in freeform surface based on equal moment strategy[J].Journal of Tianjin University(Science and Technology),2016,49(2):128-133.(in Chinese)
[18] JIANG Ruisong,WANG Wenhu,ZHANG Dinghua,et al.A practical sampling method for profile measurement of complex blades[J].Measurement,2016,81:57-65.
[19]程云勇,朱真真,李维亮,等.面向叶片弯扭变形分析的测量采样方法[J].计算机集成制造系统,2013,19(6):1329-1335.CHENG Yunyong,ZHU Zhenzhen,LI Weiliang,et al.Measurement sampling method oriented to blade bending and torsion deformation analysis[J].Computer Integrated Manufacturing Systems,2013,19(6):1329-1335.(in Chinese)
[20] MAGDZIAK M.The influence of a number of points on results of measurements of a turbine blade[J].Aircraft Engineering and Aerospace Technology,2017,89(6):953-959.
[21]张现东,卜昆,程云勇,等.基于CMM的叶片测点采样分布方法研究[J].锻压技术,2012,37(4):137-141.ZHANG Xiandong,BU Kun,CHENG Yunyong,et al.Research on CMM-based measuring points'sampling and distribution method of blades[J].Forging and Stamping Technology,2012,37(4):137-141.(in Chinese)
[22] PAGANI L,SCOTT P J.Curvature based sampling of curves and surfaces[J].Computer Aided Geometric Design,2018,59:32-48.
[2]魏永超,赵伟.航空发动机叶片高精度自动测量系统[J].航空动力学报,2017,32(3):513-518.WEI Yongchao,ZHAO Wei.High precision automatic measurement system for aero engine blade[J].Journal of Aerospace Power,2017,32(3):513-518.(in Chinese)
[3]蔺小军,单晨伟,王增强,等.航空发动机叶片型面三坐标测量机测量技术[J].计算机集成制造系统,2012,18(1):125-131.LIN Xiaojun,SHAN Chenwei,WANG Zengqiang,et al.Measurement techniques of coordinate measuring machine for blade surface of aero-engine[J].Computer Integrated Manufacturing Systems,2012,18(1):125-131.(in Chinese)
[4] AINSWORTH I,RISTIC M,BRUJIC D.CAD-based measurement path planning for free-form shapes using contact probes[J].International Journal of Advanced Manufacturing Technology,2000,16(1):23-31.
[5] LI S Z.Adaptive sampling and mesh generation[J].Computer-Aided Design,1995,27(3):235-240.
[6] LAI Xinmin,LI Zhongqin,ZHAO Ziping.A study of a reverse engineering system based on vision sensor for freeform surfaces[J].Computers and Industrial Engineering,2001,40(3):215-227.
[7] ELKOTT D F,ELMARAGHY H A,ELMARAGHY W H.Automatic sampling for CMM inspection planning of free-form surfaces[J].International Journal of Production Research,2002,40(11):2653-2676.
[8] EDGEWORTH R,WILHELM R G.Adaptive sampling for coordinate metrology[J].Precision Engineering,1999,23(3):144-154.
[9] ASCIONE R,MORONI G,PETRO S,et al.Adaptive inspection in coordinate metrology based on Kriging models[J].Precision Engineering,2013,37(1):44-60.
[10] CHEN Y,PENG C.Intelligent adaptive sampling guided by Gaussian process inference[J].Measurement Science and Technology,2017,28(10):105005.1-105055.11.
[11] YU Mingrang,ZHANG Yingjie,LI Yunlong,et al.Adaptive sampling method for inspection planning on CMM for free-form surfaces[J].International Journal of Advanced Manufacturing Technology,2013,67(9/10/11/12):1967-1975.
[12] XU Y,LI Z.Method for determining the probing points for efficient measurement of freeform surface[J].International Journal of Aerospace and Mechanical Engineering,2008,2(3):187-192.
[13] OBEIDAT S M,RAMAN S.An intelligent sampling method for inspecting free-form surfaces[J].International Journal of Advanced Manufacturing Technology,2009,40(11/12):1125-1136.
[14] REN M,KONG L,SUN L,et al.A curve network sampling strategy for measurement of freeform surfaces on coordinate measuring machines[J].IEEE Transactions on Instrumentation and Measurement,2017,66(11):3032-3043.
[15] ELKOTT D F,VELDHUIS S C.Isoparametric line sampling for the inspection planning of sculptured surfaces[J].Computer-Aided Design,2005,37(2):189-200.
[16] HE G Y,JIA H Y,GUO L Z,et al.Adaptive sampling strategy for free-form surface based on CAD model[R].Advanced Materials Research,2012,542-543(10):541-544.
[17]何改云,季彩霞,郭龙真,等.基于等矩策略的自由曲面测量方法误差分析[J].天津大学学报(自然科学与工程技术版),2016,49(2):128-133.HE Gaiyun,JI Caixia,GUO Longzhen,et al.Analysis of measurement method error in freeform surface based on equal moment strategy[J].Journal of Tianjin University(Science and Technology),2016,49(2):128-133.(in Chinese)
[18] JIANG Ruisong,WANG Wenhu,ZHANG Dinghua,et al.A practical sampling method for profile measurement of complex blades[J].Measurement,2016,81:57-65.
[19]程云勇,朱真真,李维亮,等.面向叶片弯扭变形分析的测量采样方法[J].计算机集成制造系统,2013,19(6):1329-1335.CHENG Yunyong,ZHU Zhenzhen,LI Weiliang,et al.Measurement sampling method oriented to blade bending and torsion deformation analysis[J].Computer Integrated Manufacturing Systems,2013,19(6):1329-1335.(in Chinese)
[20] MAGDZIAK M.The influence of a number of points on results of measurements of a turbine blade[J].Aircraft Engineering and Aerospace Technology,2017,89(6):953-959.
[21]张现东,卜昆,程云勇,等.基于CMM的叶片测点采样分布方法研究[J].锻压技术,2012,37(4):137-141.ZHANG Xiandong,BU Kun,CHENG Yunyong,et al.Research on CMM-based measuring points'sampling and distribution method of blades[J].Forging and Stamping Technology,2012,37(4):137-141.(in Chinese)
[22] PAGANI L,SCOTT P J.Curvature based sampling of curves and surfaces[J].Computer Aided Geometric Design,2018,59:32-48.