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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2020, Volume 61, Issue 6, Pages 108–123
DOI: https://doi.org/10.15372/PMTF20200614 (Mi pmtf258) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Perturbation approach to dynamic buckling of a statically pre-loaded, but viscously damped elastic structure

G. E. Ozoigboa, A. M. Etteb

a Alex Ekwueme Federal University NDUFU Alike, IKWO, Ebonyi, Nigeria
b Federal University of Technology, Owerri, Imo, Nigeria
Full-text PDF (304 kB) First page Citations (2)
DOI: https://doi.org/10.15372/PMTF20200614
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.
Keywords: perturbation, static pre-loading, viscous damping, cubic model, step load.
Received: 22.01.2020
Revised: 24.03.2020
Accepted: 27.04.2020
English version:
Journal of Applied Mechanics and Technical Physics, 2020, Volume 61, Issue 6, Pages 1001–1015
DOI: https://doi.org/10.1134/S0021894420060140
Bibliographic databases:
Document Type: Article
UDC: 539.3
Language: Russian
Citation: G. E. Ozoigbo, A. M. Ette, “Perturbation approach to dynamic buckling of a statically pre-loaded, but viscously damped elastic structure”, Prikl. Mekh. Tekh. Fiz., 61:6 (2020), 108–123; J. Appl. Mech. Tech. Phys., 61:6 (2020), 1001–1015
Citation in format AMSBIB
\Bibitem{OzoEtt20}
\by G.~E.~Ozoigbo, A.~M.~Ette
\paper Perturbation approach to dynamic buckling of a statically pre-loaded, but viscously damped elastic structure
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2020
\vol 61
\issue 6
\pages 108--123
\mathnet{http://mi.mathnet.ru/pmtf258}
\crossref{https://doi.org/10.15372/PMTF20200614}
\elib{https://elibrary.ru/item.asp?id=44510480}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2020
\vol 61
\issue 6
\pages 1001--1015
\crossref{https://doi.org/10.1134/S0021894420060140}
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  • https://www.mathnet.ru/eng/pmtf/v61/i6/p108
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Prikladnaya Mekhanika i Tekhnicheskaya Fizika Prikladnaya Mekhanika i Tekhnicheskaya Fizika
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