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Vibration analysis on plates by orthogonal polynomials
- Issue Date
- 1989
- Keywords
- Beam Function; Gauss-Legendre Quadrature; Gram-Schmidt Process; Orthogonal Polynomials; Orthogonality Properties
- Citation
- KSME Journal, v.3, no.2, pp.95 - 102
- Journal Title
- KSME Journal
- Volume
- 3
- Number
- 2
- Start Page
- 95
- End Page
- 102
- ISSN
- 1738-494X
- Abstract
- This paper presents vibration analysis of plates by the Rayleigh-Ritz method with orthogonal polynomials derived by the Gram-Schmidt Process as displacement functions, and Gauss-Legendre Quadrature as an integration scheme. A computer program was developed and numerical results by this computation were in good accord with those obtained by using other beam functions. Furthermore, the present method was shown to resolve various problems encountered in the application of existing methods. © 1989, The Korean Society of Mechanical Engineers (KSME). All rights reserved.
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