A semi-analytical DQEM for free vibration analysis of thick plates with two opposite edges simply supported

摘要

This paper is introducing a semi-analytical differential quadrature element method (DQEM) based on first-order shear deformation theory for free vibration analysis of thick plates. By decomposing the plate into a series of sub-domains or elements, any discontinuity in geometry, material properties, and elastic foundations in one direction can be handled conveniently. Classical, as well as non-classical boundary conditions can be imposed. One benefits of this semi-analytical DQEM is reducing the storage requirements and the computational efforts needed to assemble the global equations. The method would also increase the computational efficiency in comparison with the finite element method (FEM) or differential quadrature method (DQM) analysis of such problems. The accuracy, versatility, stability, and convergence of the algorithm are certified.