The free vibration analysis of point supported rectangular plates using quadrature element method

In this study, solutions of point supported isotropic plates are presented by using hybrid approach of
Quadrature Element Method (QEM). The Hybrid QEM technique consists of a collocation method in
conjunction with Galerkin finite element technique, to combine the high accurate and rapid converging
of Differential Quadrature Method (DQM) for efficient solution of differential equation. To show the
validity of the solutions, obtained results are compared with other known solutions methods for point
supported rectangular plates. In addition different solutions are carried out for different type boundary
conditions, different locations and number of point supports. Obtained results for first vibration modes
on plates were also tested using a commercial finite element code and it was seen that they are in good
agreement.