PERTURBATION APPROACH TO DYNAMIC BUCKLING OF A STATICALLY PRE-LOADED, BUT VISCOUSLY DAMPED ELASTIC STRUCTURE
| Autor: | A. M. Ette, G. E. Ozoigbo |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
Physics
Viscous damping Mechanical Engineering Structure (category theory) Perturbation (astronomy) 02 engineering and technology Mechanics Function (mathematics) Condensed Matter Physics 01 natural sciences Displacement (vector) 010305 fluids & plasmas 020303 mechanical engineering & transports 0203 mechanical engineering Buckling Mechanics of Materials 0103 physical sciences |
| Zdroj: | Journal of Applied Mechanics and Technical Physics. 61:1001-1015 |
| ISSN: | 1573-8620 0021-8944 |
| DOI: | 10.1134/s0021894420060140 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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