Transverse Vibration of Arbitrarily-shaped Thin Plate with An Eccentric Hole in Elastic Boundary Conditions

This paper deals with the transverse vibration of arbitrarily-shaped thin plate with an ecentric hole in elastic boundary conditions by using the Fourier expansion method proposed by K. Nagaya and improved by Song Jiasu. The general solution, which is in form of bessel functions, of the governing equation of the plate is employed. The frequency equations along the boundaries are deduced in polar coordinate system and expressed in Fourier series. The results are obtained by numerical method. Several numerical examples are presented and the results are compared with those of other literatures and Finite Element Method(FEM) by using ANSYS. Good accuracy and concise procedures are the main features of this method.