摘要
带有弹性联轴器的齿轮传动系统中,弹性联轴器的非线性恢复力函数和阻尼力函数均是频率和振幅的函数,在受到随机激励作用下形成了一类非线性随机系统.文中应用基于高斯勒让德积分的路径积分法计算此传动系统的位移-速度概率密度,并给出一些特定时刻的概率密度分布.最后,分析边界外概率丢失的问题,提出相应的解决方案.
For the gear system with flexible couplings, the nonlinear elastic force and damping force are both the functions of displacement and velocity. A nonlinear stochastic system is generated under the excitation of stochastic force. The path integral method based on Gauss Legendre integral is applied to calculate the joint probability density of displacement and velocity responses. Moreover, the distributions of probability density at some special time points are given. In the end, the problem of probability loss is analyzed, and a feasible measure to deal with it is also put forward.
出处
《动力学与控制学报》
2016年第6期561-565,共5页
Journal of Dynamics and Control
关键词
路径积分法
高斯勒让德积分
高斯激励
迹法
概率丢失
path integral method, Gauss-Legendre integral, Gauss white noise excitation, polynomial approximation, probability loss
