Free vibration of a rectangular plate with interemediate elastic support

Abstract

This paper presents a semi-analytical method to investigate the effect of intermediate elastic support on the natural frequencies of rectangular plate based on the finite strip transition matrix method. A singular value decomposition algorithm is employed at the intermediate support to eleminate the dependenc of the solution of the first span on other span. By a new treatment of the intermediate line suuport, the dimension of the final matrix of the general solution will be the same as that of plates without intermediate support. Numerical results for different combinations of classical boundary conditions at the plate edges are presented. The illustrated results are in excellent agreement with solutions available in the literature, thus validating the accuracy and reliability of the proposed technique.