Abstract
Free flexural vibrations of elliptic and circular plates with variable thickness have been studied by using characteristic orthogonal polynomials satisfying the essential boundary conditions and the Rayleigh-Ritz method. Two types of variable thickness have been considered: in the first case it varies linearly or quadratically parallel to the major axis; in the second case it is taken to be the same along concentric ellipses but varies linearly or quadratically as we move from one ellipse to another. The results for a circular plate with variable thickness follow as a special case. Computations have been carried out for clamped, simply supported and free boundary. Comparison has been made with known results in special cases.
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