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https://hdl.handle.net/2440/966
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Type: | Journal article |
Title: | Numerical Convergence of Simple and Orthogonal polynomials for the Unilateral Plate Buckling Problem using the Rayleigh-Ritz Method |
Author: | Smith, S. Bradford, M. Oehlers, D. |
Citation: | International Journal for Numerical Methods in Engineering, 1999; 44(11):1685-1707 |
Publisher: | JOHN WILEY & SONS LTD |
Issue Date: | 1999 |
ISSN: | 0029-5981 1097-0207 |
Abstract: | Unilateral buckling is a contact problem whereby buckling is confined to take place in only one lateral direction. For plate structures, this can occur when a thin steel plate is juxtaposed with a rigid concrete medium and the steel may only buckle locally away from the concrete core. This paper investigates the use of simple and orthogonal polynomials in the Rayleigh-Ritz method for unilateral plate buckling. The orthogonal polynomials used are the classical Chebyshev types 1 and 2, Legrende, Hermite and Laguerre. The study presents a comparison between the efficiency of the polynomial-based displacement functions with regard to elastic bilateral and unilateral plate buckling, where efficiency is measured as a function of their convergence characteristics. Some buckling solutions for plates with varying boundary conditions and in-plane shear loads are also provided as an illustration. Copyright © 1999 John Wiley & Sons, Ltd. |
DOI: | 10.1002/(SICI)1097-0207(19990420)44:11<1685::AID-NME562>3.0.CO;2-9 |
Published version: | http://dx.doi.org/10.1002/(sici)1097-0207(19990420)44:11%3C1685::aid-nme562%3E3.0.co;2-9 |
Appears in Collections: | Aurora harvest 4 Civil and Environmental Engineering publications |
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