FINITE ELEMENT ANALYSIS OF FUNCTIONALLY GRADED PIEZOELECTRIC BEAMS

摘要: M.R. Eslami § Professor Finite Element Analysis of Functionally Graded Piezoelectric Beams In this paper, the static bending, free vibration, and dynamic response functionally graded piezoelectric beams have been carried out by finite element method under different sets mechanical, thermal, electrical loadings. The beam with material (FGPM) is assumed to be across thickness a simple power law distribution in terms volume fractions constituents. electric potential linear FGPM thickness. temperature field uniform over surface through governing equations are obtained using energy Hamilton’s principle based on Euler-Bernoulli theory that includes thermo-piezoelectric effects. model derived constitutive equation accounting for coupling between elasticity effect two nodes Hermitian element. present modelled displacement components as nodal degrees freedom. calculated post-computation equation. Results presented two-constituent mechanical boundary conditions. Numerical results include influence indexes, loadings type in-plane conditions deflection, stress, natural frequencies, response. numerical good agreement available solutions reported literature.