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Axisymmetric vibrations of circular plates of linearly varying thickness

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Summary

Free axisymmetric vibrations of circular plates of linearly varying thickness have been studied on the basis of classical theory of plates. The differential equation governing the motion of such plates have been solved by Frobenius method. The transverse displacement has been expressed as an infinite power series in the radial coordinate. Frequency parameters have been computed for the first three modes of vibration for clamped as well as simply supported circular plates corresponding to different values of taper constant.

Zusammenfassung

Auf Grund der klassischen Scheibentheorie werden die freien axialsymmetrischen Schwingungen der Kreisscheibe mit linear veränderlicher Dicke studiert. Die Differentialgleichung der Bewegung wird mit Hilfe der Methode von Frobenius gelöst. Die transversale Verschiebung wird als eine Reihe der radialen Koordinaten ausgedrückt. Die Schwingungsparameter werden für die ersten drei Eigenschwingungen sowohl für die eingespannte als auch für die aufgelegte Kreisscheibe für verschiedene Werte des Anzugs berechnet.

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References

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Author notes

  1. Raj Krishan Jain

    Present address: Aircraft Sesign Section, Cranfield Institute of Technology, Cranfield, Bedford, U.K.

Authors and Affiliations

  1. Dept. of Mathematics, University of Roorkee, Roorkee, India

    Chandrika Prasad, Raj Krishan Jain & Som Raj Soni

Authors
  1. Chandrika Prasad
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  2. Raj Krishan Jain
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  3. Som Raj Soni
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Prasad, C., Jain, R.K. & Soni, S.R. Axisymmetric vibrations of circular plates of linearly varying thickness. Journal of Applied Mathematics and Physics (ZAMP) 23, 941–948 (1972). https://doi.org/10.1007/BF01596221

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  • DOI: https://doi.org/10.1007/BF01596221

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