ON THE FREE-VIBRATION ANALYSIS OF A PLATE WITH AN OBLIQUE INELASTIC LINE CONSTRAINT

The free vibration of a rectangular plate with an oblique inelastic li ne constraint under various boundary conditions is analytically invest igated. A double Fourier sine series is employed for the modal displac ement functions and the method of stationary potential energy is appli ed for the analysis to obtain the general analytical solution. The geo metric boundary conditions and interior oblique inelastic line constra int are enforced by means of Stokes' Transformation and the Lagrange m ultipliers. The normalized frequency parameters and mode shapes are ob tained for various boundary conditions and the results are cross-check ed with those by MSC/NASTRAN Finite Element package.