基于数据驱动建模的钣金装配过程误差分析
|
摘要
钣金装配过程的误差分析对于消除钣金装配质量故障具有重要意义。现有分析建模方法由于受钣金装配零件的材料、几何形状和装配工艺的限制,难于对钣金装配过程进行准确建模和误差分析。与分析建模方法不同,基于装配体关键产品特征的历史测量数据提出进行钣金装配过程误差分析的数据驱动建模方法。所提方法由工程经验和数学推导,建立钣金装配过程的多元一阶自回归模型和多元部分线性模型。基于极大似然估计方法和最小二乘核光滑估计方法给出所建立模型的参数和非参数估计。四元四工序典型汽车引擎盖的装配实例证明,所提方法在钣金装配误差分析过程中具有有效性。基于数据驱动的建模方法易于建模,分析结果准确可靠,可为钣金装配过程的误差分析提供新思路。
Variation analysis in a compliant sheet metal assembly process is of great significance for eliminating assembly quality faults. Existing analytical modeling methods are not competent because they are limited by material, geometry and assembly process of the compliant sheet metal parts. Different from the analytical modeling method, a data-driven modeling-based method for variation analysis in a compliant sheet metal assembly process is proposed based on the measured historical data of key product characteristics.Through engineering experience and mathematical deduction, the multivariate first-order autoregressive model and the multivariate partial linear model are established. The maximum likelihood estimation method and the least squares kernel smoothing estimation method are employed to calculate the parameters and nonparametric estimates of the established models. A typical four-step hood assembly example with four key product characteristics demonstrates the effectiveness of the proposed method in the process of variation analysis. The data-driven modeling method is easy to model and the analysis results are accurate and reliable, which provides a new path for variation analysis of sheet metal assembly process.
Variation analysis in a compliant sheet metal assembly process is of great significance for eliminating assembly quality faults. Existing analytical modeling methods are not competent because they are limited by material, geometry and assembly process of the compliant sheet metal parts. Different from the analytical modeling method, a data-driven modeling-based method for variation analysis in a compliant sheet metal assembly process is proposed based on the measured historical data of key product characteristics.Through engineering experience and mathematical deduction, the multivariate first-order autoregressive model and the multivariate partial linear model are established. The maximum likelihood estimation method and the least squares kernel smoothing estimation method are employed to calculate the parameters and nonparametric estimates of the established models. A typical four-step hood assembly example with four key product characteristics demonstrates the effectiveness of the proposed method in the process of variation analysis. The data-driven modeling method is easy to model and the analysis results are accurate and reliable, which provides a new path for variation analysis of sheet metal assembly process.
引文
[1]LIN J,JIN S,ZHENG C,et al.Compliant assembly variation analysis of aeronautical panels using unified substructures with consideration of identical parts[J].Computer-Aided Design,2014,57(12):29-40.
[2]CHASE K W,GAO J,MAGLEBY S P.General 2-Dtolerance analysis of mechanical assemblies with small kinematic adjustments[J].Journal of Design and Manufacturing,1995,5(3):263-274.
[3]GAO J,CHASE K W,MAGLEBY S P.Generalized 3-Dtolerance analysis of mechanical assemblies with small kinematic adjustments[J].IIE Transactions,1998,30(4):367-377.
[4]LEISHMAN R C,CHASE K W.Direct linearization method kinematic variation analysis[J].ASME Journal of Mechanical Design,2010,132(7):31-39.
[5]LIU S,HU S,WOO T.Tolerance analysis for sheet metal assemblies[J].ASME Journal of Mechanical Design,1996,118(1):62-66.
[6]LIU S C,HU S J.Variation simulation for deformable sheet metal assemblies using finite element methods[J].ASME Journal of Manufacturing Science and Engineering,1997,119(3):368-374.
[7]CAI W W,HSIEH C C,LONG Y,et al.Digital panel assembly methodologies and applications for compliant sheet components[J].ASME Journal of Manufacturing Science and Engineering,2006,128(1):270-280.
[8]MAZUR M,LEARY M,SUBIC A.Computer Aided Tolerancing(CAT)platform for the design of assemblies under external and internal forces[J].Computer-Aided Design,2011,43(6):707-719.
[9]MERKLEY K G.Tolerance analysis of compliant assemblies[D].Provo:Brigham Young University,1998.
[10]BIHLMAIER B F.Tolerance analysis of flexible assemblies using finite element and spectral analysis[D].Provo:Brigham Young University,1999.
[11]MORTENSEN A J.An integrated methodology for statistical tolerance analysis of flexible assemblies[D].Provo:Brigham Young University,2002.
[12]CAMELIO J A,HU S J,CEGLAREK D.Modeling variation propagation of multi-station assembly systems with compliant parts[J].ASME Journal of Mechanical Design,2003,125(4):673-681.
[13]YUE J,CAMELIO J A,CHIN M,et al.Product-oriented sensitivity analysis for multistation compliant assemblies[J].ASME Journal of Mechanical Design,2007,129(8):844-851.
[14]田兆青,来新民,林忠钦.多工位薄板装配偏差流传递的状态空间模型[J].机械工程学报,2007,43(2):202-209.TIAN Zhaoqing,LAI Xinmin,LIN Zhongqin.State space model of variations stream propagation in multisation assembly processes of sheet metal[J].Journal of Mechanical Engineering,2007,43(2):202-209.
[15]CAI W.Fixture optimization for sheet panel assembly considering welding gun variations[J].Journal of Mechanical Engineering Science,2008,222(2):235-246.
[16]LONG Y.Variation simulation for compliant sheet metal assemblies with applications[D].Ann Arbor:University of Michigan,2000.
[17]JIN S,YU K,LAI X,et al.Sensor placement strategy for fixture variation diagnosis of compliant sheet metal assembly process[J].Assembly Automation,2009,29(4):358-363.
[18]于奎刚,金隼,来新民.基于Taguchi的柔性薄板装配夹具稳健设计[J].上海交通大学学报,2009,43(12):1941-1945.YU Kuigang,Jin Sun,LAI Xinmin.A fixture locating robust design method of compliant sheet metal assembly based on taguchi method[J].Journal of Shanghai Jiao Tong University,2009,43(12):1941-1945.
[19]DAHLSTROM S,LINDKVIST L.Variation simulation of sheet metal assemblies using the method of influence coefficients with contact modeling[J].ASME Journal of Manufacturing Science and Engineering,2007,129(3):615-622.
[20]GERBINO S,PATALANO S,FRANCIOSA P.Statistical variation analysis of multi-station compliant assemblies based on sensitivity matrix[J].International Journal of Computer Applications in Technology,2008,33(1):12-23.
[21]UNGEMACH G,MANTWILL F.Efficient consideration of contact in compliant assembly variation analysis[J].ASME Journal of Manufacturing Science and Engineering,2009,131(1):51-59.
[22]RUEY S T.Multivariate Time series analysis:With R and financial applications[M].New Jersey:Wiley,2013.
[23]GREEN P J,SILVERMAN B W.Nonparametric regression and generalized linear models[M].London:Chapman and Hall,1994.
[24]RUDEMO M.Empirical choice of histograms and kernel density estimators[J].Scandinavian Journal of Statistics,1982,9(2):65-78.
[25]BOWMAN A W.An alternative method of cross-validation for the smoothing of density estimates[J].Biometrika,1984,71(2):353-360.
[26]LAWLESS J F,MACKAY R J,ROBINSON JA.Analysis of variation transmission in manufacturing processes-Part I[J].Journal of Quality Technology,1999,31(2):131-142.
[2]CHASE K W,GAO J,MAGLEBY S P.General 2-Dtolerance analysis of mechanical assemblies with small kinematic adjustments[J].Journal of Design and Manufacturing,1995,5(3):263-274.
[3]GAO J,CHASE K W,MAGLEBY S P.Generalized 3-Dtolerance analysis of mechanical assemblies with small kinematic adjustments[J].IIE Transactions,1998,30(4):367-377.
[4]LEISHMAN R C,CHASE K W.Direct linearization method kinematic variation analysis[J].ASME Journal of Mechanical Design,2010,132(7):31-39.
[5]LIU S,HU S,WOO T.Tolerance analysis for sheet metal assemblies[J].ASME Journal of Mechanical Design,1996,118(1):62-66.
[6]LIU S C,HU S J.Variation simulation for deformable sheet metal assemblies using finite element methods[J].ASME Journal of Manufacturing Science and Engineering,1997,119(3):368-374.
[7]CAI W W,HSIEH C C,LONG Y,et al.Digital panel assembly methodologies and applications for compliant sheet components[J].ASME Journal of Manufacturing Science and Engineering,2006,128(1):270-280.
[8]MAZUR M,LEARY M,SUBIC A.Computer Aided Tolerancing(CAT)platform for the design of assemblies under external and internal forces[J].Computer-Aided Design,2011,43(6):707-719.
[9]MERKLEY K G.Tolerance analysis of compliant assemblies[D].Provo:Brigham Young University,1998.
[10]BIHLMAIER B F.Tolerance analysis of flexible assemblies using finite element and spectral analysis[D].Provo:Brigham Young University,1999.
[11]MORTENSEN A J.An integrated methodology for statistical tolerance analysis of flexible assemblies[D].Provo:Brigham Young University,2002.
[12]CAMELIO J A,HU S J,CEGLAREK D.Modeling variation propagation of multi-station assembly systems with compliant parts[J].ASME Journal of Mechanical Design,2003,125(4):673-681.
[13]YUE J,CAMELIO J A,CHIN M,et al.Product-oriented sensitivity analysis for multistation compliant assemblies[J].ASME Journal of Mechanical Design,2007,129(8):844-851.
[14]田兆青,来新民,林忠钦.多工位薄板装配偏差流传递的状态空间模型[J].机械工程学报,2007,43(2):202-209.TIAN Zhaoqing,LAI Xinmin,LIN Zhongqin.State space model of variations stream propagation in multisation assembly processes of sheet metal[J].Journal of Mechanical Engineering,2007,43(2):202-209.
[15]CAI W.Fixture optimization for sheet panel assembly considering welding gun variations[J].Journal of Mechanical Engineering Science,2008,222(2):235-246.
[16]LONG Y.Variation simulation for compliant sheet metal assemblies with applications[D].Ann Arbor:University of Michigan,2000.
[17]JIN S,YU K,LAI X,et al.Sensor placement strategy for fixture variation diagnosis of compliant sheet metal assembly process[J].Assembly Automation,2009,29(4):358-363.
[18]于奎刚,金隼,来新民.基于Taguchi的柔性薄板装配夹具稳健设计[J].上海交通大学学报,2009,43(12):1941-1945.YU Kuigang,Jin Sun,LAI Xinmin.A fixture locating robust design method of compliant sheet metal assembly based on taguchi method[J].Journal of Shanghai Jiao Tong University,2009,43(12):1941-1945.
[19]DAHLSTROM S,LINDKVIST L.Variation simulation of sheet metal assemblies using the method of influence coefficients with contact modeling[J].ASME Journal of Manufacturing Science and Engineering,2007,129(3):615-622.
[20]GERBINO S,PATALANO S,FRANCIOSA P.Statistical variation analysis of multi-station compliant assemblies based on sensitivity matrix[J].International Journal of Computer Applications in Technology,2008,33(1):12-23.
[21]UNGEMACH G,MANTWILL F.Efficient consideration of contact in compliant assembly variation analysis[J].ASME Journal of Manufacturing Science and Engineering,2009,131(1):51-59.
[22]RUEY S T.Multivariate Time series analysis:With R and financial applications[M].New Jersey:Wiley,2013.
[23]GREEN P J,SILVERMAN B W.Nonparametric regression and generalized linear models[M].London:Chapman and Hall,1994.
[24]RUDEMO M.Empirical choice of histograms and kernel density estimators[J].Scandinavian Journal of Statistics,1982,9(2):65-78.
[25]BOWMAN A W.An alternative method of cross-validation for the smoothing of density estimates[J].Biometrika,1984,71(2):353-360.
[26]LAWLESS J F,MACKAY R J,ROBINSON JA.Analysis of variation transmission in manufacturing processes-Part I[J].Journal of Quality Technology,1999,31(2):131-142.
© 2004-2018 中国地质图书馆版权所有 京ICP备05064691号 京公网安备11010802017129号 地址：北京市海淀区学院路29号 邮编：100083 电话：办公室：(+86 10)66554848；文献借阅、咨询服务、科技查新：66554700 |