基于JSS矩阵的装配精度分配方法

摘要/Abstract

摘要：

采用小位移旋量描述结合面误差，分析了典型结合面的误差传递属性。定义了结合面的信息集成表达符号，结合多色集合理论，建立了描述装配关系、结合面类型、结合面误差传递属性的结合面符号矩阵，进而提出了装配误差传递路径的搜索方法。分析了结合面间的关系对误差传递的影响，建立了结合面的实际误差传递属性矩阵，获取了各误差分量的传递路径,明确了影响装配体精度的关键误差分布。根据多体运动学原理建立了装配体误差模型，结合装配体精度要求进行了结合面精度分配，进而实现了结合面相应几何要素的精度分配。为正向公差设计与装配过程精度控制提供了依据。最后通过实例分析，验证了该方法的可行性与实用性。

关键词: 小位移旋量法, 多色集合理论, JSS矩阵, 误差传递路径, 精度分配

Abstract:

Joint surface error was described by SDT,typical joint surface error transfer properties were analyzed. Information integrated expression symbols of joint surfaces were defined, combined with the polychromatic sets theory,JSS matrix,was established,that could describe assembly relationship,joint surface type and error transfer properties,and then assembly error transfer path search method was proposed,critical error distribution that affected the precision of assembly was identified. Assembly error model was established based on the multibody kinematics principles,and combined with assembly accuracy requirements,the accuracy allocation of joint surface and the relevant geometric element were implemented, then the basis was provided for tolerance design and accuracy control during assembly process.At last, the feasibility and practicability of the proposed method was verified by example analyses.

Key words: small displacement torsor(SDT) , method；polychromatic sets theory;joint surface symbol(JSS) , matrix；error transfer path；accuracy allocation

中图分类号:

TH115

吕程, 刘子建. 基于JSS矩阵的装配精度分配方法[J]. 中国机械工程, 2016, 27(02): 143-149.

Lü Cheng, Liu Zijian. Assembly Accuracy Allocation Method Based on JSS Matrix[J]. China Mechanical Engineering, 2016, 27(02): 143-149.

导出引用管理器 EndNote|Ris|BibTeX

链接本文: https://www.cmemo.org.cn/CN/

https://www.cmemo.org.cn/CN/Y2016/V27/I02/143

参考文献

[1]孛朝旺, 杨志宏, 王林博,等.尺寸工程技术综述与展望[J].计算机集成制造系统, 2014,20(3):464-470.
Bo Chaowang, Yang Zhihong, Wang Linbo, et al.Review and Outlook of Dimensional Engineering[J].Computer Integrated Manufacturing Systems, 2014,20(3):464-470.
[2]张岩, 莫蓉.基于灰色粒子群算法的飞机装配公差多目标优化设计[J].计算机集成制造系统, 2014,20(8):1870-1878.
Zhang Yan, Mo Rong.Multiobjective Optimization Design Based on Grey Particle Swarm Optimization Algorithm for Aircraft Assembly Tolerance[J].Computer Integrated Manufacturing Systems, 2014,20(8): 1870-1878.
[3]杨波,高常青,黄克正,等.生长型设计中公差进化设计方法研究[J].机械工程学报, 2012, 48(7): 147-155.
Yang Bo,Gao Changqing,Huang Kezheng,et al.Tolerance Evolutionary Strategy in Incremental Growth Design[J]. Journal of Mechanical Engineering, 2012, 48(7): 147-155.
[4]金秋,莫帅.基于改进成本公差模型的并行公差优化设计[J].天津科技大学学报, 2010, 25(5): 53-56.
Jin Qiu,Mo Shuai.Concurrent Tolerancing Optimization Design Based on improved Cost-tolerance Model[J]. Journal of Tianjin University of Science & Technology, 2010, 25(5): 53-56.
[5]Kumar M S,Stalin B.Optimum Tolerance Synthesis for Complex Assembly with Alternative Process Selection Using Lagrange Multiplier Method[J].The International Journal of Advanced Manufacturing Technology,2009, 44(3/4): 405-411.
[6]Jeang A.Optimal Tolerance Design by Response Surface Methodology[J].International Journal of Production Research, 1999, 37(14): 3275-3288.
[7]彭和平.基于新一代 GPS 框架的公差设计理论与方法研究[D].武汉:华中科技大学, 2009.
[8]徐旭松.基于新一代 GPS 的功能公差设计理论与方法研究[D].杭州：浙江大学, 2008.
[9]吴兆强.基于小位移旋量的公差模拟建模及公差分析[J].机械设计与制造,2010(1): 205-207.
Wu Zhaoqiang. Stimulated Tolerances Modeling Based on Small Displacement Torsors and Tolerances Analysis[J]. Machinery Design & Manufacture,2010(1): 205-207.
[10]张娇娜.基于GPS标准体系的形状公差建模及其误差评价技术[D].杭州：浙江大学, 2007.
[11]Pavlov V V.Polychromatic Graph of Mathematics Simulation for Technical System[C]//the Proceedings of Scientific and Technical Conference (CAD-88).Plovdiv, 1988:8-10.
[12]李宗斌,高新勤,赵丽萍.基于多色集合理论的信息建模与优化技术[M].北京：科学出版社, 2010.
[13]黄强, 李青锋.机床通用误差模型的建立及应用[J].中国机械工程,2013,24(12): 1626-1630.
Huang Qiang, Li Qingfeng.Buliding and Application of General Model for Machine Tool Errors[J].China Mechanical Engineering, 2013, 24(12): 1626-1630.
[14]Rocha C R,Tonetto C P,Dias A.A Comparison between the Denavit–Hartenberg and the Screw-based Methods Used in Kinematic Modeling of Robot Manipulators[J]. Robotics and ComputerIntegrated Manufacturing,2011, 27(4):723-728.
[15]Chen J S. Computer-aided Accuracy Enhancement for Multiaxis CNC Machine Tool[J].International Journal of Machine Tools and Manufacturing,1999,35(4): 593-605.
[16]吕程，刘子建.基于装配定位优先级的并联结合面误差建模[J].中国机械工程, 2015,26(24)：3295-3301.
Lü Cheng，Liu Zijian. Parallel Joint Surface Error Modeling Based on Assembly Positioning Priority[J]. China Mechanical Engineering, 2015, 26(24)：3295-3301.