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A comprehensive analytical solution for free vibration of rectangular plates with classical edge coditions: Experimental verification

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Abstract

The problem of obtaining free vibration frequencies and mode shapes of rectangular plates resting on combinations of classical (i.e., clamped, simply supported, or free) edge supports is one that has been investigated for more than one hundred years. More recently, the superposition method has been developed for obtaining accurate analytical-type solutions for this family of problems. The object of this paper is to report on the results of numerous experimental tests carefully performed in order to verify the superposition method and associated computer software. Experimental and computed results are compared for a wide range of plate configurations. Very good agreement between theory and experiment has been obtained with regard to both plate natural frequencies and mode shapes. It is concluded that this computational procedure constitutes a powerful new tool for analysis of rectangular plate vibration problems.

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References

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Authors and Affiliations

  1. Canadian Space Agency, Station H, P.O. Box 11490, K2H 8S2, Ottawa, Ontario, Canada

    R. K. Singal (Research Scientist)

  2. Department of Mechanical Engineering, University of Ottawa, K1N 6N5, Ottawa, Ontario, Canada

    D. J. Gorman (Professor) & S. A. Forgues (Cooperative Student)

Authors
  1. R. K. Singal
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  2. D. J. Gorman
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  3. S. A. Forgues
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Singal, R.K., Gorman, D.J. & Forgues, S.A. A comprehensive analytical solution for free vibration of rectangular plates with classical edge coditions: Experimental verification. Experimental Mechanics 32, 21–23 (1992). https://doi.org/10.1007/BF02317979

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  • DOI: https://doi.org/10.1007/BF02317979

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