摘 要：建立了基础激励和定轴转动联合作用时电流变夹层梁的运动微分方程，着重研究了基础简谐激励和匀速旋转运动作用时电流变夹层梁的振动稳定性。采用多尺度法获得了梁的一次近似解析解和参激振动失稳的条件。通过对电流变夹层梁在不同激励参数、控制电场和旋转角速度时的振动响应时间历程曲线和对应相图的数值分析，探讨了电场作用下电流变夹层梁的参激振动稳定性。仿真结果表明，在一定的条件下，可以通过控制作用于电流变夹层梁的电场强度来改变系统出现运动不稳定的临界激励幅值，提高结构的动力稳定性。

Abstract: The motion equations of a rotating electrorheological (ER) sandwich beam subjected to base excitation are derived. The vibration stability of the ER sandwich beam under constant angular velocity and harmonic base excitation is studied. The multiple scale method is used to determine the first order approximate analytic solutions and the necessary conditions for the existence of parametric unstable of the beam. The time responses and phase domains of the rotating ER sandwich beam for various excited parameters, electric fields, and rotating speed are presented to demonstrate the parametric dynamic stability of the beam under rotation and based joint excitation. Numerical results show that the critical value of excitation parameter of the rotating ER sandwich beam under base excitation can be adjusted when it subjected to an electric field, and the ER material layer can be used to improve the dynamic stability of the beam.