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Analysis of the Dynamic Buckling of a Viscously Damped Spherical Shell Under an Impulse Load

Article scientifique 2022 Anglais

Résumé

Abstract A regular perturbation scheme is here developed for analyzing the dynamic buckling of a lightly damped, imperfect spherical shell struck by an impulse. For simplicity of mathematical analysis, the spherical shell is discretized into time dependent modes and the resultant formulation is that of a two – small parameter problem in which the small parameters serve as agents of asymptotic expansions in a multi-timing perturbation analysis. Unlike most earlier but similar studies, all imperfections and nonlinearities as well as pre-buckling inertia and coupling terms are retained and none is neglected. In the final analysis, the dynamic buckling load is determined and the contributions to buckling of each of the terms are highlighted.

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Ozoigbo, G., Chukwuchekwa, J., Osuji, W., Udo, I., Ette, A. (2022). Analysis of the Dynamic Buckling of a Viscously Damped Spherical Shell Under an Impulse Load. https://doi.org/10.21203/rs.3.rs-2252820/v1

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Auteur(s)

G. E. Ozoigbo J. U. Chukwuchekwa W. I. Osuji I. U. Udo A. M. Ette

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