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Investigation of the natural vibrations of plates made of composite materials with the help of the finite-element method

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Polymer Mechanics Aims and scope

Abstract

The modes and frequencies of small natural vibrations in a cavity of thin plates are investigated on the basis of the method of finite elements in displacements. The effect of the rigidity characteristics of a material on the natural frequencies and modes of vibrations of flat cantilever vanes whose tapered edge is restrained is studied. An example is given of the use of the finite-element method to determine the natural vibrations of an orthotropic plate in the shape of an airplane wing. Quadrangular and modified triangular bending finite elements are used to simulate a continuous system. A mass-element matrix is constructed on the basis of a four-term ("contracted") polynomial determining the deflection that permits a significant reduction of the order of the solving system.

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Authors
  1. A. S. Vol'mir
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  2. V. A. Smetanenko
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Additional information

Translated from Mekhanika Polimerov, No. 2, pp. 284–288, March–April, 1976.

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Vol'mir, A.S., Smetanenko, V.A. Investigation of the natural vibrations of plates made of composite materials with the help of the finite-element method. Polymer Mechanics 12, 245–249 (1976). https://doi.org/10.1007/BF00856460

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  • DOI: https://doi.org/10.1007/BF00856460

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