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PERTURBATION APPROACH TO DYNAMIC BUCKLING OF A STATICALLY PRE-LOADED, BUT VISCOUSLY DAMPED ELASTIC STRUCTURE

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Abstract

In this paper, we embark on analytical determination of the dynamic buckling of a statically pre-loaded elastic structure subjected to step loading. We first employ a two-timing regular perturbation procedure for asymptotic determination of a uniformly valid expansion of the displacement. The dynamic buckling load is determined nontrivially and is related to the corresponding static load. The dynamic buckling load is studied as a function of various problem parameters: degree of damping, initial imperfection, and static pre-loading.

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Authors and Affiliations

  1. Alex Ekwueme Federal University NDUFU Alike, IKWO, Ebonyi, Nigeria

    G. E. Ozoigbo

  2. Federal University of Technology, Owerri, Imo, Nigeria

    A. M. Ette

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  1. G. E. Ozoigbo
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  2. A. M. Ette
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Correspondence to G. E. Ozoigbo.

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Ozoigbo, G.E., Ette, A.M. PERTURBATION APPROACH TO DYNAMIC BUCKLING OF A STATICALLY PRE-LOADED, BUT VISCOUSLY DAMPED ELASTIC STRUCTURE. J Appl Mech Tech Phy 61, 1001–1015 (2020). https://doi.org/10.1134/S0021894420060140

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  • DOI: https://doi.org/10.1134/S0021894420060140

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