定位方案三维稳健性分析及一般解推导
|
摘要
空间三维定位涉及参数众多,定位误差分析模型形式复杂,现有研究多通过数值方法求解稳健方案,只能得到特殊解而无法获得一般解,难以揭示共性规律.为此,结合常用的工程条件和习惯引入2个附加假设,在对三维确定性定位误差分析模型进行简化的基础上,对定位方案的稳健性进行解析分析,并给出最稳健方案的一般解.以采用经典一面(3定位块)两销定位方式的某平板工件为例,将该一般解与商用三维偏差分析软件VisVSA的分析结果进行了对比验证,进而应用该一般解对某飞机后机身冲压排气管的安装定位方案进行了优化.
The locating error analysis model of 3 D workpieces involves a large number of parameters and is complicated. To find robust locating scheme by this model, most of the existing researches adopt numerical method; however, only a specific solution can be achieved rather than a general solution, thus regularities or rules cannot be revealed explicitly. In this study, by introducing two additional assumptions according to common engineering conditions, the deterministic locating analysis model is simplified; based on the simplified model, the robustness of locating scheme is analyzed analytically, and general solution of the most robust locator layout is given. The solution and what it reveals, are validated by a commercial variation analysis software VisVSA, and by using the locating of a plate workpiece as an example. The result has applied to the locating scheme design of the mounting of a stamp exhaust pipe on the rear fuselage.
The locating error analysis model of 3 D workpieces involves a large number of parameters and is complicated. To find robust locating scheme by this model, most of the existing researches adopt numerical method; however, only a specific solution can be achieved rather than a general solution, thus regularities or rules cannot be revealed explicitly. In this study, by introducing two additional assumptions according to common engineering conditions, the deterministic locating analysis model is simplified; based on the simplified model, the robustness of locating scheme is analyzed analytically, and general solution of the most robust locator layout is given. The solution and what it reveals, are validated by a commercial variation analysis software VisVSA, and by using the locating of a plate workpiece as an example. The result has applied to the locating scheme design of the mounting of a stamp exhaust pipe on the rear fuselage.
引文
[1] ASADA H,BY A B.Kinematic analysis of workpiece fixturing for flexible assembly with automatically reconfigurable fixtures[J].IEEE Journal of Robotics and Automation,1985,1(2):86-94.
[2] CHOU Y C,CHANDRU V,BARASH M M.A mathematical approach to automatic design configuration of machining fixtures:Analysis and synthesis[J].Journal of Engineering for Industry,1989,111(4):299-306.
[3] SAYEED Q A,DEMETER E C.Machining fixture design and analysis software[J].International Journal of Production Research,1994,32(7):1655-1674.
[4] CAI W,HU S J,YUAN J X.A variational method of robust fixture configuration design for 3-D workpieces[J].Journal of Manufacturing Science and Engineering,1997,119(4A):593-602.
[5] CAI W.Robust pin layout design for sheet-panel locating [J].International Journal of Advanced Manufacturing Technology,2006,28(5/6):486-494.
[6] WANG M Y.An optimum design for 3-D fixture synthesis in a point set domain [J].IEEE Transactions on Robotics and Automation,2000,16(6):839-846.
[7] HUANG W,KONG Z,CHENNAMARAJU A.Robust design for fixture layout in multistation assembly systems using sequential space filling methods[J].Journal of Computing and Information Science in Engineering,2010,10(4):041001.
[8] 姜昂,范清林,郑丞,等.夹具定位方案稳定性评价及定位点搜索算法[J].上海交通大学学报,2010,44(4):484-488.JIANG Ang,FAN Qinglin,ZHENG Cheng,et al.Stability evaluation of fixture locating layout and research in locator-searching algorithm[J].Journal of Shanghai Jiao Tong University,2010,44(4):484-488.
[9] WANG B F,NEE A Y C.Robust fixture layout with the multi-objective non-dominated ACO/GA approach[J].CIRP Annals-Manufacturing Technology,2011,60:183-186.
[10] TIAN Z Q,LAI X M,LIN Z Q.Robust fixture layout design for multi-station sheet metal assembly processes using a genetic algorithm [J].International Journal of Production Research,2009,47(21):6159-6176.
[11] VASUNDARA M,PADMANABAN K P.Recent developments on machining fixture layout design,analysis,and optimization using finite element method and evolutionary techniques[J].The International Journal of Advanced Manufacturing Technology,2014,70(1/2/3/4):79-96.
[12] TYAGI S,SHUKLA N,KULKARNI S.Optimal design of fixture layout in a multi-station assembly using highly optimized tolerance inspired heuristic[J].Applied Mathematical Modelling,2016,40(11/12):6134-6147.
[13] 金隼.基于功能尺寸的车身检测体系优化设计及其应用[D].上海:上海交通大学,2001.JIN Sun.Optimal design with functional dimensions for auto body measurement system and its application [D].Shanghai:Shanghai Jiao Tong University,2001.
[2] CHOU Y C,CHANDRU V,BARASH M M.A mathematical approach to automatic design configuration of machining fixtures:Analysis and synthesis[J].Journal of Engineering for Industry,1989,111(4):299-306.
[3] SAYEED Q A,DEMETER E C.Machining fixture design and analysis software[J].International Journal of Production Research,1994,32(7):1655-1674.
[4] CAI W,HU S J,YUAN J X.A variational method of robust fixture configuration design for 3-D workpieces[J].Journal of Manufacturing Science and Engineering,1997,119(4A):593-602.
[5] CAI W.Robust pin layout design for sheet-panel locating [J].International Journal of Advanced Manufacturing Technology,2006,28(5/6):486-494.
[6] WANG M Y.An optimum design for 3-D fixture synthesis in a point set domain [J].IEEE Transactions on Robotics and Automation,2000,16(6):839-846.
[7] HUANG W,KONG Z,CHENNAMARAJU A.Robust design for fixture layout in multistation assembly systems using sequential space filling methods[J].Journal of Computing and Information Science in Engineering,2010,10(4):041001.
[8] 姜昂,范清林,郑丞,等.夹具定位方案稳定性评价及定位点搜索算法[J].上海交通大学学报,2010,44(4):484-488.JIANG Ang,FAN Qinglin,ZHENG Cheng,et al.Stability evaluation of fixture locating layout and research in locator-searching algorithm[J].Journal of Shanghai Jiao Tong University,2010,44(4):484-488.
[9] WANG B F,NEE A Y C.Robust fixture layout with the multi-objective non-dominated ACO/GA approach[J].CIRP Annals-Manufacturing Technology,2011,60:183-186.
[10] TIAN Z Q,LAI X M,LIN Z Q.Robust fixture layout design for multi-station sheet metal assembly processes using a genetic algorithm [J].International Journal of Production Research,2009,47(21):6159-6176.
[11] VASUNDARA M,PADMANABAN K P.Recent developments on machining fixture layout design,analysis,and optimization using finite element method and evolutionary techniques[J].The International Journal of Advanced Manufacturing Technology,2014,70(1/2/3/4):79-96.
[12] TYAGI S,SHUKLA N,KULKARNI S.Optimal design of fixture layout in a multi-station assembly using highly optimized tolerance inspired heuristic[J].Applied Mathematical Modelling,2016,40(11/12):6134-6147.
[13] 金隼.基于功能尺寸的车身检测体系优化设计及其应用[D].上海:上海交通大学,2001.JIN Sun.Optimal design with functional dimensions for auto body measurement system and its application [D].Shanghai:Shanghai Jiao Tong University,2001.