中文摘要：

有免费边界状况的 paraboloidal 膜壳活跃地用能在紫外光的照明下面提供无接触的使活动的 photostrictive 致动器被控制。与配对的 photostrictive 致动器把压成薄片的 paraboloidal 壳的管理方程基于膜近似被建立。南方 / 环绕的致动器的形式的控制行动被案例研究分别地提出并且评估。与壳的速度有关的经常的轻紧张被采用，然后管理方程在能与 Newmark- 方法被解决的一种靠近环的形式被写。就联合 photostrictive 致动器的行为的多地而言，横向的排水量和控制光紧张的时间历史被模仿并且评估。结果证明 photostrictive 致动器能有效地控制 paraboloidal 膜壳，和面向的环绕的方向能比沿着南方的方向放的 photostrictive 致动器给更好的控制效果的 photostrictive 致动器的颤动。

英文摘要：

The paraboloidal membrane shell with free boundary condition is actively controlled using photostrictive actuators which can provide contactless actuation under the illumination of ultraviolet light. The governing equations of the paraboloidal shell laminated with paired photostrictive actuators are established based on membrane approximation. The modal control actions of meridional/circumferential actuators are respectively formulated and evaluated by case studies. Constant light intensity related to the velocity of the shell is adopted, and then the governing equations are written in a closed-loop form which can be solved with Newmark-β method. Considering the multi-field coupling behavior of photostrictive actuators, time histories of transverse displacement and control light intensity are simulated and evaluated. The results show that photostrictive actuators can effectively control the vibration of the paraboloidal membrane shell, and the photostrictive actuators oriented along circumferential direction can give better control effect than photostrictive actuators placed along the meridional direction.