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Free vibration of ring-sector plates of variable rigidity

Published online by Cambridge University Press:  04 July 2016

A. P. Bhattacharya
A. P. Bhattacharya*
Affiliation:
School of Engineering, University of Zambia, Lusaka
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Extract

The present note is concerned with the flexural vibrations of a thin elastic plate with variable rigidity and having the form of a sector of a circular ring. Plates of this shape have been rather sparsely treated in the literature.

The problem of free vibration of sectorial plates with radial edges simply supported has been investigated by Ramiah and Vijaykumar and by Ramakrishnan and Kunnukkasseril. For the case of a plate having clamped radial edges and the circumferential edges having any combination of boundary conditions, an approximate solution has been obtained by Bhattacharya. The free vibration of annular plates for various boundary conditions are summarised by Leissa. All these are for plates of constant thickness only.

Type
Technical Notes
Information
The Aeronautical Journal , Volume 83 , Issue 826 , October 1979 , pp. 399 - 401
Copyright
Copyright © Royal Aeronautical Society 1979 

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References

1. Ramiah, G. K. and Vijaykumar, K. Natural frequencies of circumferentially truncated sector plates with simply supported edges. Journal of Sound and Vibration, Vol 34, pp 53–61, 1974.Google Scholar
2. Ramakrishnan, R. and Kunnukkasseril, V. K. Free 7. vibration of annual sector plates. Journal of Sound and Vibration, Vol 30, pp 127–129, 1973.Google Scholar
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