A Three Dimensional Semi-Analytical Finite Element Model for the Analysis of Piezoelectric Shells of Revolution
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This paper addresses the bending and free vibrations of multilayered cylindrical shells with piezoelectric layers using the 3D linear elasticity theory and a semianalytical axisymmetric shell finite element model. In the present 3D axisymmetric model, the displacement field is expanded in the circumferential direction using Fourier series, and thereby the 3D elasticity equations of motion are reduced to 2D equations involving circumferential harmonics. In the finite element model, the displacement components, electric potential and loading are expanded in truncated Fourier series. Special emphasis is given to the coupling between symmetric and anti-symmetric terms for laminates with piezoelectric rings. Numerical results for bending deflections and vibration frequencies are presented to show the good agreement with other finite element solutions. © 2006 Civil-Comp Press.
author list (cited authors)
Santos, H., Mota Soares, C. M., Mota Soares, C. A., & Reddy, J. N.