Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2020, Number 2, Pages 3–8 (Mi vmumm4309)  
This article is cited in 2 scientific papers (total in 2 papers)

Mathematics

Oscillation equation of a beam with fixed and pivotally supporter ends

I. A. Rudakov

Bauman Moscow State Technical University
Full-text PDF (188 kB) Citations (2)
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Abstract: The problem of existence of periodic solutions of a quasilinear equation of forced oscillations of an I-beam whose one end is fixed and the second one is pivotally supported is studied. Properties of the differential operator are given and the theorem on the existence of a countable number of solutions is proved in the case the nonlinear term has a power growth.
Key words: equation of beam vibrations, periodic solutions, eigenvalues, Fourier series, variational method.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 1.3843.2017/4.6
Received: 07.02.2018
English version:
Moscow University Mathematics Bulletin, 2020, Volume 75, Issue 2, Pages 53–57
DOI: https://doi.org/10.3103/S0027132220020011
Bibliographic databases:
Document Type: Article
UDC: 517.956.35
Language: Russian
Citation: I. A. Rudakov, “Oscillation equation of a beam with fixed and pivotally supporter ends”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2020, no. 2, 3–8; Moscow University Mathematics Bulletin, 75:2 (2020), 53–57
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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