中文摘要：

基于电压源模型,推导出薄膜式光致伸缩作动器应变与光强的本构关系。建立光电层合球壳系统动力学方程及模态控制方程。利用规格化后的模态控制因子对球壳子午线方向及圆周方向的薄膜与弯矩效应进行评价,不同位置下的模态控制因子为作动器布局优化提供了依据。将LQR控制算法与光源激励策略相结合,确定光电层合球壳系统的主动控制策略。进行主动振动控制仿真,得到球壳位移及控制光强响应曲线。仿真结果表明,在较低能量的控制光强下,光致伸缩作动器可实现对球壳的主动振动控制,且振动抑制效果明显。

英文摘要：

The constitutive relationship between the induced strain and the light intensity of film photostrictive actuator is formulated based on a voltage source model.Dynamics and modal control equations of a photostrictive laminated spherical shell are presented.Membrane and bending effect along meridional and circumferential directions are evaluated by normalized modal control factors.Actuator locations which better control effect can be decided by modal control factors.The active control strategy is confirmed by combining the illuminating method and LQR approach.Time curves of the transverse displacement and control light intensity response are simulated and evaluated.Simulation results show that photostrictive actuators can suppress the vibration of spherical shell well under lower power light intensity.