考虑公差原则的零件公差分析方法研究
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摘要
零件的公差分析是产品公差设计中的重要环节,为提高机械产品质量和零件的互换性,在零件设计时需要考虑尺寸公差和形位公差的关系,即公差原则,而传统的零件公差分析方法很少考虑公差原则中的相关要求,难以对有相关要求的零件进行三维公差分析。针对上述问题,利用SDT理论对有相关要求的轴类零件进行三维公差数学建模,然后结合蒙特卡洛法实现了对此类零件三维公差分析。最后以花键轴为实例,对比了不同公差原则下的零件公差分析结果,验证了所述方法的有效性。
Tolerance analysis of parts is an important process in product of tolerance design,to improve the quality of mechanical products and parts interchangeability,relation betweengeometric tolerances and size tolerance need to consider when parts design,namely the principle of tolerance.Traditional method of tolerance analysis was rarely considered relevant requirements in tolerance principle,it is difficult to parts for 3D tolerance analysis which have relevant requirements. For the above problem,the 3D tolerance mathematicalmodel of shaft parts have related requirements was established by using SDT theory,then combined with the montecarlo method,and the 3D tolerance analysis of parts wasrealized. Finally,use the spline shaft as an example,the result of parts withdifferent tolerance principle tolerance analysiswascompared,and validityof the proposed method was verified.
Tolerance analysis of parts is an important process in product of tolerance design,to improve the quality of mechanical products and parts interchangeability,relation betweengeometric tolerances and size tolerance need to consider when parts design,namely the principle of tolerance.Traditional method of tolerance analysis was rarely considered relevant requirements in tolerance principle,it is difficult to parts for 3D tolerance analysis which have relevant requirements. For the above problem,the 3D tolerance mathematicalmodel of shaft parts have related requirements was established by using SDT theory,then combined with the montecarlo method,and the 3D tolerance analysis of parts wasrealized. Finally,use the spline shaft as an example,the result of parts withdifferent tolerance principle tolerance analysiswascompared,and validityof the proposed method was verified.
引文
[1]王太勇,熊越东,路世忠.蒙特卡洛仿真法在尺寸及公差设计中的应用[J].农业机械学报,2005,36(5):102-104.(Wang Tai-yong,Xiong,Yue-dong,Lu Shi-zhong.The monte-carlo simulation method in the application of the dimension and tolerance design[J].Journal of Agricultural Machinery,2005,36(5):102-104.)
[2]Roy U,LI B.Representation and interpretation of geomet-ric tolerances for polyhedral objects I.form tolerances[J].Computer Aided Design,1998,30(2):151-161.
[3]刘玉生.基于数学定义的平面尺寸和形位公差建模与表示技术的研究[D].杭州:浙江大学,2000.(Liu Yu-sheng.Based on the mathematical definition of planar dimension,form and position tolerances of modeling and presentation technology research[D].Hangzhou:Zhejiang University,2000.)
[4]蔡敏,杨将新,吴昭同.基于数学定义的圆柱要素形状公差数学模型的研究[J].机械工程学报,2003,39(12):86-90.(Can Min,Yang Jiang-Xin,Wu Zhao-Tong.Mathematical model elements based on the mathematical definition of cylindrical shape tolerance research[J].Journal of Mechanical Engineering,2003,39(12):86-90.)
[5]杨将新,茅健,曹衍龙.基于MMR和LMR的同轴度数学模型[J].浙江大学学报:工学版,2007(12):1967-1970.(Yang Jiang-Xin,Mao Jian,Cao Yan-long,The coaxial degree mathematical model based on the MMR and LMR[J].Journal of Zhejiang University:Engineering Science,2007(12):1967-1970.)
[6]Yan-long Cao,Yu-sheng Liu,Jian Mao.3DTS:A 3D tolerancing system based on mathematical definition[J].Journal of Zhejiang University Science A,2006,7(11):1810-1818.
[7]Hong Y S,Chang T C.Tolerancing Algebra:a Building Block for Handling Tolerancing Interactions in Design and Manufacturing[J].International Journal Production Research,2002,40(18):46334649.
[8]程彬彬,王志越,黄美发.装配体三维公差建模及分析研究[J].机械设计与制造,2016(4):76-79.(Cheng Bin-bin,Wang Zhi-yue Huang mei-fa.Research on Assembly 3D Tolerance Modeling and Analysis[J].Machinery Design&Manufacture,2016(4):76-79.)
[9]吕林森.新编公差原则与几何精度设计[M].北京:国防工业出版社,2007.(Lv Shu-Sen.New Principle and Geometric Accuracy Tolerance Design[M].Beijing:National Defense Industry Press,2007.)
[10]王晶,石宏,黄笑飞.基于蒙特卡罗模拟法的航空发动机装配公差分析[J].沈阳航空工业学院学报,2010(4):8-11.(Wang Jing,Shi Hong,Huang Xiao-fei.Based on monte carlo simulation of aircraft engine assembly tolerance analysis[J].Journal of Shenyang Institute of Aviation Industry,2010(4):8-11.)
[2]Roy U,LI B.Representation and interpretation of geomet-ric tolerances for polyhedral objects I.form tolerances[J].Computer Aided Design,1998,30(2):151-161.
[3]刘玉生.基于数学定义的平面尺寸和形位公差建模与表示技术的研究[D].杭州:浙江大学,2000.(Liu Yu-sheng.Based on the mathematical definition of planar dimension,form and position tolerances of modeling and presentation technology research[D].Hangzhou:Zhejiang University,2000.)
[4]蔡敏,杨将新,吴昭同.基于数学定义的圆柱要素形状公差数学模型的研究[J].机械工程学报,2003,39(12):86-90.(Can Min,Yang Jiang-Xin,Wu Zhao-Tong.Mathematical model elements based on the mathematical definition of cylindrical shape tolerance research[J].Journal of Mechanical Engineering,2003,39(12):86-90.)
[5]杨将新,茅健,曹衍龙.基于MMR和LMR的同轴度数学模型[J].浙江大学学报:工学版,2007(12):1967-1970.(Yang Jiang-Xin,Mao Jian,Cao Yan-long,The coaxial degree mathematical model based on the MMR and LMR[J].Journal of Zhejiang University:Engineering Science,2007(12):1967-1970.)
[6]Yan-long Cao,Yu-sheng Liu,Jian Mao.3DTS:A 3D tolerancing system based on mathematical definition[J].Journal of Zhejiang University Science A,2006,7(11):1810-1818.
[7]Hong Y S,Chang T C.Tolerancing Algebra:a Building Block for Handling Tolerancing Interactions in Design and Manufacturing[J].International Journal Production Research,2002,40(18):46334649.
[8]程彬彬,王志越,黄美发.装配体三维公差建模及分析研究[J].机械设计与制造,2016(4):76-79.(Cheng Bin-bin,Wang Zhi-yue Huang mei-fa.Research on Assembly 3D Tolerance Modeling and Analysis[J].Machinery Design&Manufacture,2016(4):76-79.)
[9]吕林森.新编公差原则与几何精度设计[M].北京:国防工业出版社,2007.(Lv Shu-Sen.New Principle and Geometric Accuracy Tolerance Design[M].Beijing:National Defense Industry Press,2007.)
[10]王晶,石宏,黄笑飞.基于蒙特卡罗模拟法的航空发动机装配公差分析[J].沈阳航空工业学院学报,2010(4):8-11.(Wang Jing,Shi Hong,Huang Xiao-fei.Based on monte carlo simulation of aircraft engine assembly tolerance analysis[J].Journal of Shenyang Institute of Aviation Industry,2010(4):8-11.)