Abstract
Abstract Free vibration of piezoelastic laminated cylindrical shells under a hydrostatic pressure is discussed in this paper. From Hamilton’s principle nonlinear dynamic equations of the piezoelastic laminated cylindrical shell are derived. Based on which, the dynamic equations of a closed piezoelastic cylindrical shell under a hydrostatic external pressure are obtained. An analytical solution is presented for the case of free vibration of a simply supported piezoelastic laminated cylindrical shell under a hydrostatic pressure, and the influence of fluid–structural coupling effect on the natural frequencies of submerged cylindrical shell is discussed. Numerical results are presented to examine the factors that influence the natural frequencies of the piezoelastic cylindrical shell under a hydrostatic pressure.
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