This article is cited in 1 scientific paper (total in 1 paper)
Equations of Motion of a Rigid Body with Two Elastic Rods
D. A. Eliseev, E. P. Kubyshkin
P. G. Demidov Yaroslavl State University, Sovetskaya str., 14, Yaroslavl, 150000, Russia
In the paper we propose a mathematical model of a mechanical system consisting of a rigid body and two rigidly connected elastic straight rods located in the same plane. The system rotates around the axis passing through the mass center of a rigid body and perpendicular to the plane of the rods. The rods are modeled by the Euler–Bernoulli beam. The mathematical model is an initial-boundary value problem for a hybrid system of differential equations. The cases of fast and slow rotations of the system are considered.
mathematical model, mechanical system, equations of motion, solid, elastic rod, hybrid system of differential equations.
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D. A. Eliseev, E. P. Kubyshkin, “Equations of Motion of a Rigid Body with Two Elastic Rods”, Model. Anal. Inform. Sist., 21:1 (2014), 66–72
Citation in format AMSBIB
\by D.~A.~Eliseev, E.~P.~Kubyshkin
\paper Equations of Motion of a Rigid Body with Two Elastic Rods
\jour Model. Anal. Inform. Sist.
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D. A. Eliseev, E. P. Kubyshkin, “Issledovanie ustoichivosti reshenii nachalno-kraevoi zadachi, modeliruyuschei dinamiku odnoi diskretno-kontinualnoi mekhanicheskoi sistemy”, Model. i analiz inform. sistem, 22:2 (2015), 197–208
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