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Journal of Applied Mechanics and Technical Physics

2020 year, number 6

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

G. E. Ozoigbo1, A. M. Ette2
1Alex Ekwueme Federal University NDUFU Alike, IKWO, Nigeria
2Federal University of Technology, Owerri, Nigeria
Keywords: perturbation, static pre-loading, viscous damping, cubic model, step load


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.