周期变速旋转运动电流变夹层梁的参激振动

PARAMETRIC VIBRATION OF A ROTATING ER SANDWICH BEAM WITH PERIODICALLY VARYING VELOCITY

采用多尺度法对周期变速旋转运动电流变夹层梁的动力稳定性进行了研究.假设电流变夹层梁绕固定轴线做随时间变化的简谐周期运动,将变速度转动梁作为一个时变参激振动系统,分析了不同结构和控制参数对失稳区域的影响.仿真结果表明,改变外加控制电场强度的大小和梁的结构参数,可改变旋转电流变夹层梁发生动力失稳的临界角速度和失稳区域.故在一定的条件下,可以通过控制作用于电流变夹层梁的电场强度来调节旋转运动柔性梁的振动特性,提高结构的动力稳定性.

The dynamic stability of a rotating electrorheological （ER） sandwich beam with periodically varying velocity is studied by using the method of multiple scales. Assuming the angular velocity of the beam is given as a harmonic function of time, the rotating sandwich beam is regarded as a parametrically excited system. The effects of structure parameters and working condition on the instability boundaries in parametric resonance of the rotating beam are investigated. Numerical results show that the vibration characteristic and dynamic stability of the rotating ER sandwich beam 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 rotating flexible beams.