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Analytical model for buckling analysis of the plates under patch and concentrated loads
Abstract The problem of elastic stability of rectangular plates with different boundary conditions under wheel and patch loading is analyzed using Ritz energy technique. Basic analytical model with two specific types of boundary conditions, designed to simulate standard experimental sample, is tested. High quality of presented analytical results, proved through comparison with data obtained by numerical methods, is due to introduction of the exact stress functions of Mathieu's theory of elasticity and adequate deflection functions. Hence, the conditions for analyzing the advanced models with different levels of complexity and for realization of comprehensive parametric study are created for these load types.
Highlights Analytical solutions for buckling problems of the plates under patch and wheel load are presented. Models with two specific types of boundary conditions (SSSS and CSCS) are investigated. Main contribution is introduction of exact elasticity solutions for in-plane stress distributions. High level of accuracy has been proven by comparison with results obtained by FEM.
Analytical model for buckling analysis of the plates under patch and concentrated loads
Abstract The problem of elastic stability of rectangular plates with different boundary conditions under wheel and patch loading is analyzed using Ritz energy technique. Basic analytical model with two specific types of boundary conditions, designed to simulate standard experimental sample, is tested. High quality of presented analytical results, proved through comparison with data obtained by numerical methods, is due to introduction of the exact stress functions of Mathieu's theory of elasticity and adequate deflection functions. Hence, the conditions for analyzing the advanced models with different levels of complexity and for realization of comprehensive parametric study are created for these load types.
Highlights Analytical solutions for buckling problems of the plates under patch and wheel load are presented. Models with two specific types of boundary conditions (SSSS and CSCS) are investigated. Main contribution is introduction of exact elasticity solutions for in-plane stress distributions. High level of accuracy has been proven by comparison with results obtained by FEM.
Analytical model for buckling analysis of the plates under patch and concentrated loads
Mijušković, Olga (author) / Ćorić, Branislav (author) / Šćepanović, Biljana (author) / Žugić, Ljiljana (author)
Thin-Walled Structures ; 101 ; 26-42
2015-12-17
17 pages
Article (Journal)
Electronic Resource
English
Analytical model for buckling analysis of the plates under patch and concentrated loads
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