Stochastic optimal control analysis of a piezoelectric shell subjected to stochastic boundary perturbations
Stochastic optimal control analysis of a piezoelectric shell subjected to stochastic boundary perturbations
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随机边界扰动下压电壳的随机最优控制分析
DOI：
10.12989/sss.2012.9.3.231
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发表时间：
2012-03
影响因子：
3.5
通讯作者：
倪一清
中科院分区：
文献类型：
--
作者：
应祖光;冯驹;朱位秋;倪一清
The stochastic optimal control for a piezoelectric spherically symmetric shell subjected to stochastic boundary perturbations is constructed, analyzed and evaluated. The stochastic optimal control problem on the boundary stress output reduction of the piezoelectric shell subjected to stochastic boundary displacement perturbations is presented. The electric potential integral as a function of displacement is obtained to convert the differential equations for the piezoelectric shell with electrical and mechanical coupling into the equation only for displacement. The displacement transformation is constructed to convert the stochastic boundary conditions into homogeneous ones, and the transformed displacement is expanded in space to convert further the partial differential equation for displacement into ordinary differential equations by using the Galerkin method. Then the stochastic optimal control problem of the piezoelectric shell in partial differential equations is transformed into that of the multi-degree-of-freedom system. The optimal control law for electric potential is determined according to the stochastic dynamical programming principle. The frequency-response function matrix, power spectral density matrix and correlation function matrix of the controlled system response are derived based on the theory of random vibration. The expressions of mean-square stress, displacement and electric potential of the controlled piezoelectric shell are finally obtained to evaluate the control effectiveness. Numerical results are given to illustrate the high relative reduction in the root-mean-square boundary stress of the piezoelectric shell subjected to stochastic boundary displacement perturbations by the optimal electric potential control.
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影响因子：
7.3
作者：
C. To;Tao Chen
通讯作者：
C. To;Tao Chen
DOI：
10.1007/bf00887680
发表时间：
1990-12
期刊：
Soviet Applied Mechanics
影响因子：
--
作者：
A. Babaev;L. But;V. G. Savin
通讯作者：
A. Babaev;L. But;V. G. Savin
DOI：
10.1115/1.1554415
发表时间：
2003-05
期刊：
Journal of Applied Mechanics
影响因子：
--
作者：
H. Ding;H. Wang;Wenteng Chen
通讯作者：
H. Ding;H. Wang;Wenteng Chen
影响因子：
--
作者：
Li Hang-yun;Liu Zheng-xing;Lin Qi-rong
通讯作者：
Li Hang-yun;Liu Zheng-xing;Lin Qi-rong
影响因子：
3.5
作者：
Xin Li;Yunfeng Zhang
通讯作者：
Xin Li;Yunfeng Zhang