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- W2355543986 abstract "The stochastic optimal control of a spherically symmetric piezoelectric shell under random boundary excitations is studied.The dynamic equilibrium equation,the kinetic equation,the charge conservative equation and the electrical and mechanical coupling constitutive equations of the piezoelectric shell are given.These equations and the performance parameters construct a stochastic optimal control problem.The electric potential integral is presented to convert the governing equations into a mechanical vibration equation.Using the displacement transformation and the Galerkin method,the partial differential vibration equation is converted into ordinary differential equations for optimal control.Based on the stochastic dynamical programming principle,the HJB equation is derived and then the optimal control electric potential for the piezoelectric shell is determined.The frequency-response function,response power spectrum density and correlation function matrices of the controlled shell system are presented for estimating the random response.Finally,numerical results are given to demonstrate the effectiveness of the stochastic optimal control of the piezoelectric shell." @default.
- W2355543986 created "2016-06-24" @default.
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- W2355543986 date "2012-01-01" @default.
- W2355543986 modified "2023-09-24" @default.
- W2355543986 title "Stochastic Optimal Control of Spherically Symmetric Piezoelectric Shells" @default.
- W2355543986 hasPublicationYear "2012" @default.
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