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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2011, Volume 52, Issue 4, Pages 36–42 (Mi pmtf1500)  
This article is cited in 2 scientific papers (total in 2 papers)

Calculation of the critical velocity of a stepwise rod system under a longitudinal impact

A. A. Bityurin

Ul’yanovsk State Technical University, Ul’yanovsk, 432027, Russia
Full-text PDF (205 kB) Citations (2)
Abstract: A longitudinal elastic central impact of a system of a constant-section and stepwise rods on a rigid target is modeled by an exact analytical solution of the differential wave equation by the D’Alembert method with imposing appropriate initial and boundary conditions. Based on the Euler formula, an analytical expression is derived for calculating the critical velocity at which buckling of the rod system occurs.
Keywords: rod system, longitudinal impact, critical velocities, stable state.
Received: 15.02.2010
Accepted: 21.06.2010
English version:
Journal of Applied Mechanics and Technical Physics, 2011, Volume 52, Issue 4, Pages 530–535
DOI: https://doi.org/10.1134/S0021894411040043
Bibliographic databases:
Document Type: Article
UDC: 622.233.6
Language: Russian
Citation: A. A. Bityurin, “Calculation of the critical velocity of a stepwise rod system under a longitudinal impact”, Prikl. Mekh. Tekh. Fiz., 52:4 (2011), 36–42; J. Appl. Mech. Tech. Phys., 52:4 (2011), 530–535
Citation in format AMSBIB
\Bibitem{Bit11}
\by A.~A.~Bityurin
\paper Calculation of the critical velocity of a stepwise rod system under a longitudinal impact
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2011
\vol 52
\issue 4
\pages 36--42
\mathnet{http://mi.mathnet.ru/pmtf1500}
\elib{https://elibrary.ru/item.asp?id=16973558}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2011
\vol 52
\issue 4
\pages 530--535
\crossref{https://doi.org/10.1134/S0021894411040043}
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  • https://www.mathnet.ru/eng/pmtf/v52/i4/p36
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Prikladnaya Mekhanika i Tekhnicheskaya Fizika Prikladnaya Mekhanika i Tekhnicheskaya Fizika
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