轮廓度公差约束的叶片模型配准方法
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摘要
针对公差非均匀分布的发动机叶片叶型检测评估问题,提出一种基于轮廓度公差约束的叶片模型配准方法。根据叶片轮廓度公差定义,给出一种基于中弧线的叶片轮廓度公差模型生成方法。建立了轮廓度公差约束的叶型截面配准数学模型,并给出了基于Nelder-Mead单纯形法的叶型截面带约束配准求解过程。采用仿真数据及实际叶片的三坐标测量数据与理论模型,对所讨论的模型配准方法进行了验证。结果表明,Nelder-Mead单纯型法可用于薄壁叶片模型的带约束配准求解;与最佳贴合配准相比,公差带约束配准方法可减少测量数据点集的超差点数目,为叶片检测评估提供更多参考。
Aiming at the inspection and evaluation problem of aero-engine blade surface with unuiform distribution of tolerance,a new registration method of blade model based on constraint of profile tolerance was developed.According to the definition of contour tolerance,ageneration method for blade contour tolerance model based on middle camber line was provided.A mathematic model for registration of blade section profile based on contour tolerance was built,and a solution process to the tolerance constrained registration of blade section profile based on NelderMead simplex method was given.The validity of proposed method was verified by using simmulation data,actual CMM data and theoretic model of blade.The experiment results showed that Nelder-Mead simplex method could be used to resolve the problem of profile tolerence constrained blade model alignment.Campared with the best-fit method,the disscussed method could reduce the number of points outside the profile tolerance zone,which could be adopted as additional reference for blade inspection and evaluation.
Aiming at the inspection and evaluation problem of aero-engine blade surface with unuiform distribution of tolerance,a new registration method of blade model based on constraint of profile tolerance was developed.According to the definition of contour tolerance,ageneration method for blade contour tolerance model based on middle camber line was provided.A mathematic model for registration of blade section profile based on contour tolerance was built,and a solution process to the tolerance constrained registration of blade section profile based on NelderMead simplex method was given.The validity of proposed method was verified by using simmulation data,actual CMM data and theoretic model of blade.The experiment results showed that Nelder-Mead simplex method could be used to resolve the problem of profile tolerence constrained blade model alignment.Campared with the best-fit method,the disscussed method could reduce the number of points outside the profile tolerance zone,which could be adopted as additional reference for blade inspection and evaluation.
引文
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[2]CHEN Kaiyun,YE Peiqing,YU Xuelan,et al.Research on the laser measurement system for air compressor blade surface[J].Journal of Scientific Instrument,2003,24(4):609-612(in Chinese).[陈凯云,叶佩青,俞学兰,等.航空压气机叶片型面激光测量系统研究[J].仪器仪表学报,2003,24(4):609-612.]
[3]MING Xingzu,SUN Huazhou,WU Zhiqing.Measurement techniques of aeroengine adjustable guide vane[J].Aviation Technology,1998(3):31-32(in Chinese).[明兴祖,孙华周,吴志清.航空发动机可调导向叶片测量技术[J].航空工艺技术,1998(3):31-32.]
[4]CHENG Yunyong,WANG Liya,ZHU Zhenzhen.Geometric analysis of investment casting turbine blades based on digital measurement data[J].China Foundry,2014,11(1):20-27.
[5]BESL P J,MCKAY N D.A method for registration of 3-D shapes[J].IEEE Transactions on Pattern Analysis and Machine Intelligence,1992,14(2):239-256.
[6]LIU Jing.Technology and applied research on model registration of blade by digitized detection[D].Xi'an:Northwestern Polytechnical University,2006(in Chinese).[刘晶.叶片数字化检测中的模型配准技术及应用研究[D].西安:西北工业大学,2006.]
[7]MOHIB A M N,EIMARAGHY H A.Tolerance-based localization algorithm:form tolerance verification application[J].Internation Journal of Advanced Manufacturing Technology,2010,47(5):581-595.
[8]QIAN Xiaoping,ROBINSON D M,ROSS J.Ross admissible transformation volume for part dimensional quality gauging[J].Computer-Aided Design,2005,37(13):1335-1352.
[9]WANG Weizhen,MO Rong,WAN Neng.Research on tolerance constraint based blade model registration method[J].Computer Engineering and Application,2013,49(10):264-266(in Chinese).[王威振,莫蓉,万能.叶片模型公差约束条件下的配准方法研究[J].计算机工程与应用,2013,49(10):264-266.]
[10]HU Shulong,ZHANG Dinghua,ZHANG Ying,et al.Tolerance constraints based digital model of leaf type detection method[J].Journal of Aeronautics,2013,34(10):2411-2418(in Chinese).[胡述龙,张定华,张莹,等.带公差约束的数字样板叶型检测方法[J].航空学报,2013,34(10):2411-2418.]
[11]ElMARAGHY H A,BARARI A,KNOPF G K.Integrated inspection and machining for maximum conformance to design tolerances[J].CIRP Annals-Manufacturing Technology,2004,53(1):411-416.
[12]《Turbine machinery series of modern manufacturing technology》Editorial.Blade manufacturing technology[M].Beijing:Science Press,2003:385(in Chinese).[《透平机械现代制造技术丛书》编委会.叶片制造技术[M].北京:科学出版社,2003:385.]