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Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]:
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Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2017, Volume 21, Number 4, Pages 684–698 (Mi vsgtu1581)  

Mechanics of Solids

Torsion of a growing shaft

A. V. Manzhirovabc, M. N. Mikhind, E. V. Murashkinabc

a Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences, Moscow
b Bauman Moscow State Technical University
c National Engineering Physics Institute "MEPhI", Moscow
d Russian State University for the Humanities, Moscow

Abstract: The torsion of a shaft by rigid disks is considered. The shaft has the form of circular cylinder. Two rigid disks are attached to its end faces. The process of continuous growth of such shaft under the influence of twisting torques applied to the disks is studied. Dual series equations which reflect the mathematical content of the problem at the different stages of the growing process are derived and solved. Results of the numerical analysis and singularities of the qualitative mechanical behaviour of the fundamental characteristics are discussed.

Keywords: growth, shaft, shape, torsion, stress-strain state

Funding Agency Grant Number
Russian Foundation for Basic Research 17-01-00712_а
This work was financially supported by the Russian Foundation for Basic Research (project no. 17–01–00712_a).


DOI: https://doi.org/10.14498/vsgtu1581

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Bibliographic databases:

Document Type: Article
UDC: 517.958:539.3(1); 539.385
MSC: 74D99
Received: November 23, 2017
Revised: December 15, 2017
Accepted: December 18, 2017
First online: December 20, 2017

Citation: A. V. Manzhirov, M. N. Mikhin, E. V. Murashkin, “Torsion of a growing shaft”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 21:4 (2017), 684–698

Citation in format AMSBIB
\Bibitem{ManMikMur17}
\by A.~V.~Manzhirov, M.~N.~Mikhin, E.~V.~Murashkin
\paper Torsion of a growing shaft
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2017
\vol 21
\issue 4
\pages 684--698
\mathnet{http://mi.mathnet.ru/vsgtu1581}
\crossref{https://doi.org/10.14498/vsgtu1581}
\zmath{https://zbmath.org/?q=an:06964882}
\elib{http://elibrary.ru/item.asp?id=32712832}


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  • Вестник Самарского государственного технического университета. Серия: Физико-математические науки
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