Dynamic buckling of shallow curved structures under stochastic loads |
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| Authors: | S. T. Ariaratnam Wei -Chau Xie |
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| Affiliation: | (1) Solid Mechanics Division, Faculty of Engineering, University of Waterloo, N2L 3G1 Waterloo, Ontario, Canada |
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| Abstract: | In this paper, the dynamic stability of shallow structures such as arches and curved panels under stochastically fluctuating loads is studied. Sufficient conditions guaranteeing the almost-sure stability in both symmetric modes and unsymmetric modes of deformation are obtained first by Infante's method. Necessary and sufficient conditions are determined by evaluating the largest Lyapunov exponent of the perturbed solution. |
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| Keywords: | Dynamic buckling shallow curved structures almost-sure asymptotic stability Infante's method Lyapunov exponents |
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