随机参数齿轮-转子系统的扭转振动分析  

Dynamic response of torsional vibration of gear-rotor with random parameters

作　　者：魏永祥[1] 陈建军[1] 王敏娟[1] 

机构地区：[1]西安电子科技大学机电工程学院,西安710071

出　　处：《航空动力学报》2010年第11期2637-2642,共6页Journal of Aerospace Power

基　　金：国家高技术研究发展计划(2006AA04Z402)

摘　　要：建立了考虑物理参数和几何参数均为随机变量的齿轮-转子扭转振动系统在随机荷载激励下的动力学方程.利用Newmark-β逐步积分法将此随机参数时变刚度系统的动力学方程转换为拟静力学控制方程.利用求解随机变量函数数字特征的矩法,导出了系统动态位移反应的均值和方差计算公式.通过算例得出了:系统的时变刚度对系统响应有冲击作用,系统的物理参数、几何参数和外荷载幅值的随机性对系统动力响应的影响不可忽略,其中几何参数的随机性对系统位移响应的随机性影响较大.The vibration equations of torsional vibration of gear-rotor with random physical parameters and geometrical parameters under random excitation were established.Dynamic equations with random parameters and time-varying stiffness were transformed into static governing equations by the Newmark-β step-by-step integration method.Considering the system parameters and force as inhomogeneous random parameters,the mean value and variance of dynamic displacement response were calculated by moment method.The example shows that：the time-varying stiffness of system has impact on the response of system,the influences of the randomness of physical parameters,geometrical parameters and the amplitude of loads on system dynamic response can not be ignored,and the randomness of geometric parameters has greater effect on displacement response of system.

关 键 词：随机参数 齿轮转子系统 动力学 NEWMARK-Β法 时变刚度 

分 类 号：TH113[机械工程—机械设计及理论]