Natural frequencies of rectangular plates are obtained by employing a set of beam characteristic orthogonal polynomials in the Rayleigh-Ritz method. The orthogonal polynomials are generated by using a Gram-Schmidt process, after the first member is constructed so as to satisfy all the boundary condi
INELASTIC BUCKLING OF RECTANGULAR STEEL PLATES USING A RAYLEIGH–RITZ METHOD
✍ Scribed by SMITH, S. T.; BRADFORD, M. A.; OEHLERS, D. J.
- Book ID
- 120469349
- Publisher
- World Scientific Publishing Company
- Year
- 2003
- Tongue
- English
- Weight
- 396 KB
- Volume
- 03
- Category
- Article
- ISSN
- 0219-4554
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📜 SIMILAR VOLUMES
A fast converging series consisting of a set of static beam functions, which is a combination of sine series and polynomials, is developed and these functions are used as the basis functions in the Rayleigh-Ritz method to study the vibrational characteristics of thin, isotropic rectangular plates. I
The plate characteristic functions are used to express the deflection shapes in the Rayleigh-Ritz method to study rectangular plate vibrations. Since the plate characteristic functions are reasonable approximations to the vibration modes, they are found to improve the convergence of vibration freque