ABSTRACT
ABSTRACT: An improved Fourier series method is presented for the in-plane vibration analysis of rectangular plates. The in-plane displacement fields are expressed by the linear combination of a double Fourier series and auxiliary series functions. The general boundary conditions can be represented by two sets of linear springs along each edge, and the matrix eigenvalue equation of the plate with arbitrary boundary conditions can be derived using the Rayleigh-Ritz method. Modal analysis and harmonic response analysis are carried out to validate the accuracy of the current approach.
