Orthogonal Polynomials in Vibration Analysis of Nonhomogeneous Triangular Plate

In his paper, free transverse vibration behavior of nonhomogeneous equilateral triangular plate of variable thickness using 2-D boundary characteristic orthogonal polynomials in the Rayleigh-Ritz method is presented. The material’s elastic properties and thickness are functions of in-plane coordinates. The first three natural frequencies for four different combinations of clamped, simply supported and free edges have been computed. Effects of various plate parameters on frequencies has been studied. Transverse displacements in the form of 3-D graphs for all the four boundary conditions have been presented. A comparison of results with those available in the literature has been presented.