Vibrations of rectangular plates of bilinearly varying thickness and with general boundary conditions |
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Authors: | R.H. Gutiérrez P.A.A. Laura R.O. Grossi |
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Affiliation: | Institute of Applied Mechanics, Puerto Belgrano Naval Base, 8111 Argentina |
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Abstract: | Results are presented for the fundamental frequency of a rectangular plate having a thickness which varies in a bilinear fashion in the x-direction. Translational and rotational flexibilities are taken into account at all edges. A simple algorithm, which allows one to evaluate the fundamental frequency of vibration, is derived by making use of the Ritz method and expressing the fundamental displacement function in terms of a polynomial co-ordinate function which satisfies approximately the natural boundary conditions. |
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