Perturbation Approach to Dynamic Buckling of a Statically Pre-Loaded, but Viscously Damped Elastic Structure

Ozoigbo, G. E.; Ette, A. M.

doi:10.1134/s0021894420060140

Cited by 3 publications

(1 citation statement)

References 5 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Mention must be made of other relevant investigations as in Koteiko and Mania [5], Kolakowski [6,7], Rajanna et al [8], Ozoigbo et al [9] and Ette [10,11]. In a similar study, Ozoigbo and Ette [12], in a perturbation approach investigated the dynamic buckling of a prestatically but viscously damped elastic structures while Mcshane et al [13] made a similar investigation on inclined structures. The structures under investigation was first studied by Danielson [14] where he assumed the normal displacement W(x, y, T) of the Imperfect spherical shell to be of the form ( ) ( ) ( ) ( ) ( ) ( ) ( )…”

Section: Introductionmentioning

confidence: 99%

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

Ozoigbo

Chukwuchekwa

Osuji

et al. 2022

Preprint

Self Cite

View full text Add to dashboard Cite

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.

show abstract