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Effect of secondary terms on axisymmetric vibration of circular plates

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Summary

Free transverse vibration of a circular plate is considered by assuming the displacement components as an infinite series in the thickness coordinate. The analysis is done by retaining only the first two terms in each series. The equations of motion are derived by Hamilton's energy principle and the solutions are obtained in terms of Bessel functions. Numerical results are compared with the classical and shear theories which are particular cases of the present theory.

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Author notes

  1. Neelam Mishra

    Present address: Department of Earth Sciences, University of Roorkee, 247672, Roorkee, India

Authors and Affiliations

  1. Department of Mathematics, University of Roorkee, 247672, Roorkee, U.P., India

    A. P. Gupta & Neelam Mishra

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  1. A. P. Gupta
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  2. Neelam Mishra
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Gupta, A.P., Mishra, N. Effect of secondary terms on axisymmetric vibration of circular plates. J Eng Math 14, 101–106 (1980). https://doi.org/10.1007/BF00037620

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  • DOI: https://doi.org/10.1007/BF00037620

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