Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2019, Number 5, Pages 61–65 (Mi vmumm3631)  
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Action of moving loads on the Bernoulli–Euler and Timoshenko beams

T. I. Zhdan

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
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Abstract: A dynamic behavior of Bernoulli–Euler and Timoshenko beams subjected to a moving concentrated load is considered. A solution of this problem is found and analyzed in the form of a convergent series in the case of a stretched beam and a beam lying on an elastic foundation. The parameter ranges where the results of these two models are coincident are found. It is shown that, under certain conditions, a resonance is possible in such a system.
Key words: elastic foundation, resonance, Bernoulli–Euler model, Timoshenko model, bending moment, moving load.
Received: 11.03.2018
English version:
Moscow University Mechanics Bulletin, 2019, Volume 74, Issue 5, Pages 123–127
DOI: https://doi.org/10.3103/S0027133019050042
Bibliographic databases:
Document Type: Article
UDC: 531
Language: Russian
Citation: T. I. Zhdan, “Action of moving loads on the Bernoulli–Euler and Timoshenko beams”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2019, no. 5, 61–65; Moscow University Mechanics Bulletin, 74:5 (2019), 123–127
Citation in format AMSBIB
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\paper Action of moving loads on the Bernoulli--Euler and Timoshenko beams
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2019
\issue 5
\pages 61--65
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\jour Moscow University Mechanics Bulletin
\yr 2019
\vol 74
\issue 5
\pages 123--127
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    Full-text PDF :186
    References:25
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