Natural frequencies for cantilevered laminated composite right triangular and trapezoidal plates

Abstract

The first known natural frequencies for cantilevered laminated composite angle-ply triangular and trapezoidal plates are presented. The Ritz method with non-orthogonal algebraic polynomials has been used to obtain them. Detailed convergence studies are made and show that relatively accurate results can be obtained. Comparisons with experimental and analytical frequencies available in the literature for isotropic cantilevered triangular plates are made. The present method is shown to be superior to other methods used previously to obtain natural frequencies for this problem. Results are then obtained and listed for the lowest six frequencies, and for a set of various shapes of right triangular and trapezoidal thin plates.