A 3D state-space solution for free-vibration analysis of a radially polarized laminated piezoelectric cylinder filled with fluid

This paper presents a three-dimensional exact mixed state-space solution for the free-vibration analysis of simply-supported arbitrarily thick laminated piezoceramic hollow cylinders completely filled with fluid. The piezoelectric layers of the laminated cylinder are supposed to be polarized in the radial direction and the fluid is considered inviscid and compressible. This exact solution and the corresponding results can be used to develop accurate piezoelectric shell finite elements, and to investigate the effects of various parameters on the natural frequencies and mode shapes of the fluid/piezoelectric–structure coupled system.