机电集成电磁蜗杆传动在系统参数激励下的稳定性分析

考虑到机电集成电磁蜗杆传动系统的参数振动由外界的激励产生，通过系统内参数的周期性改变间接地实现，推导出描述参数振动的数学模型为周期变系数的常微分方程；通过对系统转动惯量波动进行分析可知系统是稳定的；利用系统参数刚度矩阵和小参数导出系统微分方程，将其正则化得到系统微分方程的通解，进而得到判断因子，从而确定系统的动力稳定状态，并用具体算例进行了验证。

Stability Analysis for Electromechanical Integrated Electromagnetic Worm Drive under Parameter Excitation

The parametric vibration of electromechanical integrated electromagnetic worm drive was caused by external excitation,and indirectly realized through the system internal parameters of periodic changes. The mathematical model describing parameter vibration was an ordinary differential equation of periodic variable coefficient. The system was stable through the rotational inertia fluctuation analysis.The system differential equation was derived by using system parameters of stiffness matrix and a small parameter,and the general solution was obtained by regularization,the determine factors were obtained, the dynamic stability status of the system was confirmed and verified by an example.