转子系统配合面过盈联接的可靠性灵敏度分析
|
摘要
基于摄动原理,推导出了转子系统在过盈联接配合面发生打滑及塑性变形两种失效模式下的随机变量均值、方差、协方差及随机变量间相关系数的可靠性灵敏度公式;结合电主轴实例,讨论了电主轴的主轴与其内装转子过盈配合设计有关的各随机变量的均值、方差、协方差及随机变量相关系数对结构可靠性的影响;对影响系统可靠度的尺寸参数的均值的重要性进行了排序,通过排序得到了实际过盈量的均值是影响可靠度的最敏感参数的结论。应用遗传算法对配合面实际过盈量的均值进行一维无约束优化,优化后系统可靠度得到了提高。
Based on the perturbation theory,the reliability sensitivity formula about the mean value,variance,covariance of rotor system' s random variables and the correlation coefficients between rotor system' s random variables under two failure modes,which are skidding on interference fit mating surface and plastic deformation,are deduced. By using an example,the influence of the mean value,variance,covariance of random variables and the correlation coefficients between random variables,which are related to the design of interference fit between the spindle of electric spindle and its inner rotor,on structural reliability is discussed,and through sorting the importance of mean value of the size parameters affecting the reliability of the system,it is concluded that the mean value of the actual interference amount is the most sensitive parameter that affects the reliability. The genetic algorithm is applied to the one-dimensional unconstrained optimization of the mean value of the actual interference amount of the matching surface,and the reliability of the system is improved after the parameter optimization.
Based on the perturbation theory,the reliability sensitivity formula about the mean value,variance,covariance of rotor system' s random variables and the correlation coefficients between rotor system' s random variables under two failure modes,which are skidding on interference fit mating surface and plastic deformation,are deduced. By using an example,the influence of the mean value,variance,covariance of random variables and the correlation coefficients between random variables,which are related to the design of interference fit between the spindle of electric spindle and its inner rotor,on structural reliability is discussed,and through sorting the importance of mean value of the size parameters affecting the reliability of the system,it is concluded that the mean value of the actual interference amount is the most sensitive parameter that affects the reliability. The genetic algorithm is applied to the one-dimensional unconstrained optimization of the mean value of the actual interference amount of the matching surface,and the reliability of the system is improved after the parameter optimization.
引文
[1]范智广,巩亚东,王超,等.数控曲线磨削精度分布规律研究[J].机械设计与制造,2014(1):171-173Fan Z G,Gong Y D,Wang C,et al. Investigation of distribution of precision on NC curve grinding[J].Machinery Design&Manufacture,2014(1):171-173(in Chinese)
[2]范智广,巩亚东,王超,等.数控铣削加工中心加工精度分布规律[J].东北大学学报:自然科学版,2013,34(10):1465-1468Fan Z G, Gong Y D, Wang C, et al. Machining accuracy distribution regularities of CNC milling machining center[J]. Journal of Northeastern University:Natural Science,2013,34(10):1465-1468(in Chinese)
[3]陈连.过盈联接可靠性设计研究[J].中国机械工程,2005,16(1):28-32Chen L. Study on reliability design method for interference fit[J]. China Mechanical Engineering,2005,16(1):28-32(in Chinese)
[4]同剑,原大宁,刘宏昭,等.电主轴与其内装转子过盈配合的可靠性分析[J].机械科学与技术,2013,32(6):845-852Tong J,Yuan D N,Liu H Z,et al. The reliability analysis of motorized spindle and motor rotor with interference fit[J]. Mechanical Science and Technology for Aerospace Engineering,2013,32(6):845-852(in Chinese)
[5]卢昊,张义民,赵长龙,等.多失效模式机械零件可靠性灵敏度估计[J].机械工程学报,2012,48(2):63-67Lu H, Zhang Y M, Zhao C L, et al. Reliability sensitivity estimation of mechanical components with multiple failure modes[J]. Journal of Mechanical Engineering,2012,48(2):63-67(in Chinese)
[6]宋述芳,吕震宙.基于马尔可夫蒙特卡罗子集模拟的可靠性灵敏度分析方法[J].机械工程学报,2009,45(4):33-38Song S F, Lv Z Z. Structural reliability sensitivity analysis method based on Markov chain Monte Carlo subset simulation[J]. Journal of Mechanical Engineering,2009,45(4):33-38(in Chinese)
[7] De Lataillade A,Blanco S,Clergent Y,et al. Monte Carlo method and sensitivity estimations[J]. Journal of Quantitative Spectroscopy and Radiative Transfer,2002,75(5):529-538
[8]金雅娟,张义民,张艳林.基于鞍点逼近的机械零部件可靠性及其灵敏度分析[J].机械工程学报,2009,45(12):102-107Jin Y J,Zhang Y M,Zhang Y L. Analysis of reliability and reliability sensitivity for machine components by mean-value first order saddlepoint approximation[J].Journal of Mechanical Engineering,2009,45(12):102-107(in Chinese)
[9]张义民,黄贤振,贺向东,等.任意分布参数平面连杆机构运动精度可靠性灵敏度设计[J].机械科学与技术,2008,27(5):684-687,691Zhang Y M,Huang X Z,He X D,et al. Reliability sensitivity design of the kinematic accuracy of a planar linkage mechanism with arbitrary distribution parameters[J].Mechanical Science and Technology for Aerospace Engineering,2008,27(5):684-687,691(in Chinese)
[10]袁涛,张义民,薛玉春,等.任意分布参数随机变量间相关系数的可靠性灵敏度[J].机械强度,2008,30(3):386-390Yuan T, Zhang Y M, Xue Y C, et al. Reliability sensitivity to correlation coefficients among random variables with arbitrary distribution parameters[J].Journal of Mechanical Strength,2008,30(3):386-390(in Chinese)
[11]牛序铭,孙志刚,孔春元,等.隐式极限状态方程可靠性灵敏度四阶矩估算[J].中国机械工程,2014,25(7):949-953Niu X M, Sun Z G, Kong C Y, et al. Reliability sensitivity estimation for implicit limit state function using fourth-moment method[J]. China Mechanical Engineering,2014,25(7):949-953(in Chinese)
[12]史妍妍,孙志礼,闫明.响应面方法在可靠性灵敏度计算中的应用[J].东北大学学报:自然科学版,2009,30(2):270-273Shi Y Y,Sun Z L,Yan M. Application of response surface methodology in sensitivity calculation of reliability[J]. Journal of Northeastern University:Natural Science,2009,30(2):270-273(in Chinese)
[13]曾刚,程文明,曾鸣.基于遗传算法的机械零部件可靠性优化设计[J].机械设计与制造,2012(10):1-3Zeng G,Cheng W M,Zeng M. Reliability-optimization design of the mechanical units based on genetic algorithm[J]. Machinery Design&Manufacture,2012(10):1-3(in Chinese)
[14]刘传领.改进的蚁群遗传优化算法及其应用[J].计算机应用,2013,33(11):3111-3113,3128Liu C L. Improved ant colony genetic optimization algorithm and its application[J]. Journal of Computer Applications,2013,33(11):3111-3113,3128(in Chinese)
[15]周明,孙树栋.遗传算法原理及应用[M].北京:国防工业出版社,1999Zhou M, Sun S D. Genetic algorithms:theory and applications[M]. Beijing:National Defend Industry Press,1999(in Chinese)
[2]范智广,巩亚东,王超,等.数控铣削加工中心加工精度分布规律[J].东北大学学报:自然科学版,2013,34(10):1465-1468Fan Z G, Gong Y D, Wang C, et al. Machining accuracy distribution regularities of CNC milling machining center[J]. Journal of Northeastern University:Natural Science,2013,34(10):1465-1468(in Chinese)
[3]陈连.过盈联接可靠性设计研究[J].中国机械工程,2005,16(1):28-32Chen L. Study on reliability design method for interference fit[J]. China Mechanical Engineering,2005,16(1):28-32(in Chinese)
[4]同剑,原大宁,刘宏昭,等.电主轴与其内装转子过盈配合的可靠性分析[J].机械科学与技术,2013,32(6):845-852Tong J,Yuan D N,Liu H Z,et al. The reliability analysis of motorized spindle and motor rotor with interference fit[J]. Mechanical Science and Technology for Aerospace Engineering,2013,32(6):845-852(in Chinese)
[5]卢昊,张义民,赵长龙,等.多失效模式机械零件可靠性灵敏度估计[J].机械工程学报,2012,48(2):63-67Lu H, Zhang Y M, Zhao C L, et al. Reliability sensitivity estimation of mechanical components with multiple failure modes[J]. Journal of Mechanical Engineering,2012,48(2):63-67(in Chinese)
[6]宋述芳,吕震宙.基于马尔可夫蒙特卡罗子集模拟的可靠性灵敏度分析方法[J].机械工程学报,2009,45(4):33-38Song S F, Lv Z Z. Structural reliability sensitivity analysis method based on Markov chain Monte Carlo subset simulation[J]. Journal of Mechanical Engineering,2009,45(4):33-38(in Chinese)
[7] De Lataillade A,Blanco S,Clergent Y,et al. Monte Carlo method and sensitivity estimations[J]. Journal of Quantitative Spectroscopy and Radiative Transfer,2002,75(5):529-538
[8]金雅娟,张义民,张艳林.基于鞍点逼近的机械零部件可靠性及其灵敏度分析[J].机械工程学报,2009,45(12):102-107Jin Y J,Zhang Y M,Zhang Y L. Analysis of reliability and reliability sensitivity for machine components by mean-value first order saddlepoint approximation[J].Journal of Mechanical Engineering,2009,45(12):102-107(in Chinese)
[9]张义民,黄贤振,贺向东,等.任意分布参数平面连杆机构运动精度可靠性灵敏度设计[J].机械科学与技术,2008,27(5):684-687,691Zhang Y M,Huang X Z,He X D,et al. Reliability sensitivity design of the kinematic accuracy of a planar linkage mechanism with arbitrary distribution parameters[J].Mechanical Science and Technology for Aerospace Engineering,2008,27(5):684-687,691(in Chinese)
[10]袁涛,张义民,薛玉春,等.任意分布参数随机变量间相关系数的可靠性灵敏度[J].机械强度,2008,30(3):386-390Yuan T, Zhang Y M, Xue Y C, et al. Reliability sensitivity to correlation coefficients among random variables with arbitrary distribution parameters[J].Journal of Mechanical Strength,2008,30(3):386-390(in Chinese)
[11]牛序铭,孙志刚,孔春元,等.隐式极限状态方程可靠性灵敏度四阶矩估算[J].中国机械工程,2014,25(7):949-953Niu X M, Sun Z G, Kong C Y, et al. Reliability sensitivity estimation for implicit limit state function using fourth-moment method[J]. China Mechanical Engineering,2014,25(7):949-953(in Chinese)
[12]史妍妍,孙志礼,闫明.响应面方法在可靠性灵敏度计算中的应用[J].东北大学学报:自然科学版,2009,30(2):270-273Shi Y Y,Sun Z L,Yan M. Application of response surface methodology in sensitivity calculation of reliability[J]. Journal of Northeastern University:Natural Science,2009,30(2):270-273(in Chinese)
[13]曾刚,程文明,曾鸣.基于遗传算法的机械零部件可靠性优化设计[J].机械设计与制造,2012(10):1-3Zeng G,Cheng W M,Zeng M. Reliability-optimization design of the mechanical units based on genetic algorithm[J]. Machinery Design&Manufacture,2012(10):1-3(in Chinese)
[14]刘传领.改进的蚁群遗传优化算法及其应用[J].计算机应用,2013,33(11):3111-3113,3128Liu C L. Improved ant colony genetic optimization algorithm and its application[J]. Journal of Computer Applications,2013,33(11):3111-3113,3128(in Chinese)
[15]周明,孙树栋.遗传算法原理及应用[M].北京:国防工业出版社,1999Zhou M, Sun S D. Genetic algorithms:theory and applications[M]. Beijing:National Defend Industry Press,1999(in Chinese)