介电弹性体球壳瞬态振动的最优参数控制  

Optimal parametric control for transient vibration of dielectric elastomer spherical shell

作　　者：杨颖 金肖玲[1] 王永[1] 黄志龙[1] YANG Ying;JIN Xiao-ling;WANG Yong;HUANG Zhi-long(Department of Engineering Mechanics,Zhejiang University,Hangzhou 310027,China)

机构地区：[1]浙江大学工程力学系

出　　处：《振动工程学报》2019年第5期778-785,共8页Journal of Vibration Engineering

基　　金：国家自然科学基金资助项目(11532011,11621062,11472240,11672262);中央高校基本科研业务费专项资金资助项目(2018QNA4052)

摘　　要：介电弹性体球壳在冲击载荷作用下发生瞬态振动,由于其具有较大柔性,将经历较长时间的持续衰减震荡。最优有界参数控制策略是通过实时地微调电压使球壳的震荡迅速衰减,从而达到抑制振动的目的。首先,建立伸长比扰动量满足的微分方程,并结合性能指标和控制电压界限,三者构成最优有界参数控制问题;而后,由动态规划原理之极值条件确定最优控制律,并采用伪逆算法求解最终的动态规划方程,从而导出最优控制电压。数值研究表明:该控制策略具有较好的控制效果及较高的鲁棒性。As impacted by an external load,a dielectric elastomer spherical shell will suffer from transient oscillation.The attenuation vibration of the spherical shell will sustain long time due to its large flexibility.This work establishes the optimal bounded parametric control strategy to suppress the transient oscillation by slightly adjusting the voltage in real time.Firstly,the motion of equation with respect to the perturbation of stretch ratio is derived,and the optimal bounded parameter control problem is constituted by combining with a performance index and a control constraint.The control law is determined by the extremum condition of the dynamic programming principle,and the control voltage is obtained by solving the final dynamic programming equation through the pseudoinverse algorithm.Numerical results show the good control effectiveness and high robustness to the impact intensity.

关 键 词：最优参数控制 介电弹性体 瞬态振动 控制界限 动态规划原理 

分 类 号：O328[理学—一般力学与力学基础] O347.1[理学—力学]