A Numerical Approach For The Free Vibration Of Isotropic Triangular Plates

Abstract

The final aim of this paper is to solve the classic differential equation for the behaviour of the free flexural vibration of a thin, triangular, isotropic and homogeneous plate subject to a classic boundary condition by means of a discrete relaxation of a rectangular mesh. Modified Numerow-Cowling algorithm is applied to get the tridimensional shapes modes. The characteristic frequencies are calculated by means of a collocation method and their results are compared to the Rayleigh-Ritz method. Results for a thin aluminium plate of triangular shape for different aspect ratios are shown. 1 Introduction Any vibrating surface, especially a thin plate radiates sound due to the interaction between the solid surface and the air parti