Axisymmetric vibrations of a circular plate of linearly varying thickness on an elastic foundation according to Mindlin theory |
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Authors: | J.S. Tomar D.C. Gupta |
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Affiliation: | Department of Applied Mechanics, University of Roorkee, Roorkee 247672, India;Department of Mathematics, J.V. Jain Postgraduate College, Saharanpur, India |
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Abstract: | Free axisymmetric vibrations of an elastic circular plate of linearly varying thickness on an elastic foundation have been studied on the basis of shear theory [1,2]. The transverse displacement and local rotation are expressed as an infinite series. The frequencies corresponding to the first two modes of vibrations are obtained for a circular plate with clamped and simply supported edge conditions for various values of the taper constant and the foundation modulus. The results have been compared with those of reference [3]. |
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