基于改进最佳极限偏差法的弧面凸轮机构公差分配研究

中国机械工程 ›› 2014, Vol. 25 ›› Issue (6): 731-736.

基于改进最佳极限偏差法的弧面凸轮机构公差分配研究

杨世平1;文智慧1;李立民2;谭援强1;陈小告1

1.湘潭大学,湘潭,411105
2.湖南华菱湘潭钢铁有限公司,湘潭,411101

出版日期:2014-03-26 发布日期:2014-04-11
基金资助:
湖南省自然科学省市(湘潭)联合基金资助一般项目(13JJ9005);湖南省科技厅重点资助项目(2010GK2027);湘潭大学自然科学基金资助项目(10XZX14)

Research on Tolerance Allocation of Globoidal Cam Mechanism Based on Improved Optimal Limit Deviation Method

Yang Shiping1;Wen Zhihui1;Li Limin2;Tan Yuanqiang1;Chen Xiaogao1

1.Xiangtan University,Xiangtan,Hunan,411105
2.Hunan Valin Xiangtan Iron and Steel Co., Ltd.,Xiangtan,Hunan,411101

Online:2014-03-26 Published:2014-04-11
Supported by:
Hunan Provincial Key Program of Ministry of Science and Technology of China（No. 2010GK2027）

摘要/Abstract

摘要：

基于空间啮合理论推导了含误差的弧面凸轮机构啮合方程,采用微分分析法推导了影响弧面凸轮机构运动精度的各误差因素的影响系数表达式。结合各误差影响系数,探讨了弧面凸轮机构的简易公差分配法,然后综合考虑加工成本、尺寸因素、装配性能等工程实际，提出了弧面凸轮机构改进最佳极限偏差公差分配法。用这两种方法对某型弧面凸轮机构进行了公差分配，结果表明采用改进最佳极限偏差法更为合理。对弧面凸轮机构的公差分配进行了有益的探索,同时也为其他空间共轭传动机构的公差分配提供了一定的借鉴。

关键词: 弧面凸轮机构, 含误差啮合方程, 改进最佳极限偏差法, 公差分配

Abstract:

Based on the meshing theory, the meshing equations of a globoidal cam mechanism with error were deduced. By using the differential method, the motion accuracy influence coefficient expressions of the globoid cam mechanism were obtained. Firstly a simple tolerance allocation method was proposed. Then the improved optimal limit deviation tolerance allocation method was proposed by comprehensively considering the processing cost, size and the assembly performance of practical engineering. On the basis of that, the globoidal cam mechanism tolerance allocation problems were discussed. Targeted to a specific globoidal cam mechanism transmission system example, the tolerance distribution problems were solved by using two methods. The results show that the improved optimal limit deviation method is reasonable. A tolerance allocation method is provided for the globoidal cam mechanism, and provides reference for other spatial conjugate transmission mechanism tolerance allocation.

Key words: globoidal cam mechanism, meshing equation with error, improved optimal limit deviation method, tolerance allocation

中图分类号:

TH111

杨世平, 文智慧, 李立民, 谭援强, 陈小告. 基于改进最佳极限偏差法的弧面凸轮机构公差分配研究[J]. 中国机械工程, 2014, 25(6): 731-736.

Yang Shiping, Wen Zhihui, Li Limin, Tan Yuanqiang, Chen Xiaogao. Research on Tolerance Allocation of Globoidal Cam Mechanism Based on Improved Optimal Limit Deviation Method[J]. China Mechanical Engineering, 2014, 25(6): 731-736.

参考文献

[1]Turner J U,Wozny M J,Hoh D D.Tolerance Analysis in a Solid Modeling Environment[C]//Proceedings of the 1987 ASME International Computers in Engineering Conference and Exhibition.New York,1987:169-175.
[2]石则昌,刘深厚.机构精确度[M].北京:高等教育出版社,1996.
[3]蒋庄德,苑国英.机械精度设计[M].西安:西安交通大学出版社,2000.
[4]王瑜,翟文杰,马玉林.公差多目标优化求解方法[J].哈尔滨工业大学学报, 2008,40(6):939-941.
Wang Yu,Zhai Wenjie,Ma Yulin.Solution of Multi Objective Tolerance Optimization Model[J].Journal of Harbin Institute of Technology,2008,40(6):939-941.
[5]郑丞,金隼,来新民,等.基于非合作博弈的公差分配优化[J].机械工程学报, 2009,45(10):159-165.
Zheng Cheng,Jin Sun,Lai Xinmin,et al.Tolerance Allocation Optimization Based on Non-cooperative Game Analysis[J]. Journal of Mechanical Engineering,2009,45(10):159-165.
[6]徐旭松,杨将新,曹衍龙,等.一种面向可装配性的公差分析方法[J].中国机械工程,2008,19(24):2976-2981.
Xu Xusong,Yang Jiangxin,Cao Yanlong,et al.A Tolerance Analysis Method for Feasibility of Assembly[J].China Mechanical Engineering,2008,19(24):2976-2981.
[7]许林,程耿东,易平.利用系统可靠度约束下的优化设计求解公差分配问题[J].机械强度,2006,28(6):839-844.
Xu Lin,Cheng Gengdong,Yi Ping.Tolerance Assingment Using Algorithm for System Reliability Based Optimal Design[J]. Journal of Mechanical Strength,2006,28(6):839-844.
[8]曹衍龙,杨将新,吴绍同,等.面向制造环境的稳健公差设计方法[J].中国机械工程,2003,14(2):134-137.
Cao Yanlong,Yang Jiangxin,Wu Shaotong,et al.A Robust Tolerance Design Method Based on Manufacturing Environment[J]. China Mechanical Engineering,2003,14(2):134-137.
[9]胡秉辰,王夕生.弧面分度凸轮的加工和原始误差分析[J].农业机械学报, 1992,23(2):79-83.
Hu Bingcheng,Wang Xisheng.Analysis of Machining and the Original Error of the Globoida CAM[J].Transactions of the Chinese Society for Agricultural Machinery,1992,23(2):79-83.
[10]于云满,张敏,张义选.精密间歇机构[M].北京:机械工业出版社,1999.
[11]杨玉琥,陆锡年,张增太,等.弧面凸轮分度机构的精度分析与设计[J].天津大学学报,1996,39(2):172-176.
Yang Yuhu,Lu Xinian,Zhang Zengtai,et al.Precision Analysis and Design of Roller Gear CAM Mechanism[J].Journal of Tianjin University,1996,29(2):172-176.
[12]陈朝光,唐余永.微分几何及其在机械工程中的应用[M].哈尔滨:哈尔滨工业大学出版社,1998.