Transverse vibration of a circular plate with unidirectional quadratic thickness variation (Q1910798)
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scientific article; zbMATH DE number 858700
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Transverse vibration of a circular plate with unidirectional quadratic thickness variation |
scientific article; zbMATH DE number 858700 |
Statements
Transverse vibration of a circular plate with unidirectional quadratic thickness variation (English)
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18 July 1996
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Free transverse vibration of a circular plate with thickness varying as \((1+ \alpha|x|+ \beta x^2)\) has been studied when the edge of the plate is clamped or simply-supported. The Rayleigh-Ritz method with suitable choice of basis functions satisfying the essential boundary conditions, has been employed to find the fundamental frequency and the associated mode shapes for various values of \(\alpha\) and \(\beta\) with different boundary conditions. The convergence of results is ensured by working out several approximations till the results converge to the desired accuracy.
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Rayleigh-Ritz method
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basis functions
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fundamental frequency
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mode shapes
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convergence
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