Vibrations of circular plates with discontinuous variation of the thickness in a non-concentric fashion

The paper deals with the determination of the fundamental frequency coefficient of the structural elements described in the title in the case where the edges are elastically restrained against rotation. An approximate solution is obtained by means of the Ritz method and Rayleigh's optimization...

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Bibliographic Details
Published in:Journal of sound and vibration 1991-01, Vol.144 (1), p.1-8
Main Authors: Laura, P.A.A., Gutierrez, R.H., Bergmann, A., Carnicer, R., Sanzi, H.C.
Format: Article
Language:English
Subjects:
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Physics
Solid mechanics
Structural and continuum mechanics
Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...)
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Summary:The paper deals with the determination of the fundamental frequency coefficient of the structural elements described in the title in the case where the edges are elastically restrained against rotation. An approximate solution is obtained by means of the Ritz method and Rayleigh's optimization procedure. The fundamental eigenvalues are also determined by using a finite element code, and good agreement is shown to exist with the analytical results.
ISSN:0022-460X
1095-8568
DOI:10.1016/0022-460X(91)90727-2