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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2019, Volume 60, Issue 1, Pages 167–180
DOI: https://doi.org/10.15372/PMTF20190118
(Mi pmtf492)
 

This article is cited in 10 scientific papers (total in 10 papers)

Analyzing the correctness of problems of bending of equal strength composite profiled beams

A. N. Polilova, N. A. Tatus'a, Sh. Tyanb

a Mechanical Engineering Research Institute, Russian Academy of Sciences, Moscow, 101990, Russia
b Xi’an University, Xi’an, 710049, China
Abstract: This paper describes the simplest cases of a rectangular cantilever beam loaded by an concentrated force that is distributed by the load or dead weight. There are five geometric parameters whose optimal values can be calculated on the basis of five requirements: rigidity (or concentrated elastic energy), strength, equal strength, ratio of sectional sizes, and resistance to the shear force (strength condition in interlaminar shear). The parameter range is determined, outside of which the linear beam theory cannot be used to correctly calculate the bending of equal strength beams loaded by distributed forces or dead weight.
Keywords: spring sheet, profiled beam, equal strength beam, strength, rigidity, elastic energy, optimal shape, composite plane spring.
Funding agency Grant number
Russian Foundation for Basic Research 18-08-00372
18-58-53029
National Natural Science Foundation of China 51575430
51811530107
Received: 27.04.2018
Revised: 27.04.2018
Accepted: 28.05.2018
English version:
Journal of Applied Mechanics and Technical Physics, 2019, Volume 60, Issue 1, Pages 144–155
DOI: https://doi.org/10.1134/S0021894419010188
Bibliographic databases:
Document Type: Article
UDC: 539.4:678.067
Language: Russian
Citation: A. N. Polilov, N. A. Tatus', Sh. Tyan, “Analyzing the correctness of problems of bending of equal strength composite profiled beams”, Prikl. Mekh. Tekh. Fiz., 60:1 (2019), 167–180; J. Appl. Mech. Tech. Phys., 60:1 (2019), 144–155
Citation in format AMSBIB
\Bibitem{PolTatTya19}
\by A.~N.~Polilov, N.~A.~Tatus', Sh.~Tyan
\paper Analyzing the correctness of problems of bending of equal strength composite profiled beams
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2019
\vol 60
\issue 1
\pages 167--180
\mathnet{http://mi.mathnet.ru/pmtf492}
\crossref{https://doi.org/10.15372/PMTF20190118}
\elib{https://elibrary.ru/item.asp?id=36976021}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2019
\vol 60
\issue 1
\pages 144--155
\crossref{https://doi.org/10.1134/S0021894419010188}
Linking options:
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  • https://www.mathnet.ru/eng/pmtf/v60/i1/p167
  • This publication is cited in the following 10 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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