Torsion of a growing shaft


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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.

About the authors

Alexander V Manzhirov

A. Ishlinsky Institite for Problems in Mechanics, Russian Academy of Sciences; National Engineering Physics Institute “MEPhI”; N. E. Bauman Moscow State Technical University

Email: manzh@inbox.ru
http://orcid.org/0000-0002-7578-6031 Dr. Phys. & Math. Sci., Professor; Deputy Director; Lab. of Modelling in Mechanics of Solids; Professor; Dept. of High Mathematics; Professor; Dept. of Applied Mathematics 101, pr. Vernadskogo, Moscow, 119526, Russian Federation; 31, Kashirskoe shosse, Moscow, 115409 Russian Federation; 5/1, 2-ya Baumanskaya st., Moscow, 105005, Russian Federation

Mikhail N Mikhin

Russian State University for the Humanities

Email: mmikhin@inbox.ru
Cand. Phys. & Math. Sci., Associate Professor; Associate Professor; Dept. of High Mathematics 9, Miusskaya pl., Moscow, 125993, Russian Federation

Evgenii V Murashkin

A. Ishlinsky Institite for Problems in Mechanics, Russian Academy of Sciences; National Engineering Physics Institute “MEPhI”; N. E. Bauman Moscow State Technical University

Email: murashkin@ipmnet.ru
http://orcid.org/0000-0002-3267-4742 Cand. Phys. & Math. Sci.; Senior Researcher; Lab. of Modelling in Mechanics of Solids; Associate Professor; Dept. of High Mathematics; Associate Professor; Dept. of Applied Mathematics 101, pr. Vernadskogo, Moscow, 119526, Russian Federation; 31, Kashirskoe shosse, Moscow, 115409 Russian Federation; 5/1, 2-ya Baumanskaya st., Moscow, 105005, Russian Federation

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