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Mathematics and Mechanics

Russian Academy of Sciences
 Founded
in January 1936
(Translated from 1958)
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ISSN 0021-8928
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IssuesArchive of Issues2014-5pp.480-487

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I.A. Bolgrabskaya and N.N. Shchepin, "A new solution of the equilibrium equations of a system of bodies with elastic joints," J. Appl. Math. Mech. 78 (5), 480-487 (2014)
Year 2014 Volume 78 Issue 5 Pages 480-487
Title A new solution of the equilibrium equations of a system of bodies with elastic joints
Author(s) I.A. Bolgrabskaya (Donetsk, Ukraine)
N.N. Shchepin (Donetsk, Ukraine, shchepin_nick@mail.ru)
Abstract Different ways of representing the elastic moments are proposed, which can be used for the finite-dimensional modelling of rod systems using a system of n axisymmetric solids, connected by elastic spherical joints. Using the example of a closed plane rod, possible states of equilibrium of the finite-dimensional model of the rod are analysed for different methods of specifying the elastic torques at the joints. The case when the rod axis has the form of a "figure of eight", which is modelled by a system of six axisymmetric solids with a relative torsion angle that depends on the bending, is investigated in detail.
Received 02 March 2012
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