Geodesic
Equations of Motion of a Rigid Body with Two Elastic Rods
Modelirovanie i analiz informacionnyh sistem, Tome 21 (2014) no. 1, pp. 66-72

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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.
Keywords: mathematical model, mechanical system, solid, elastic rod, hybrid system of differential equations.
Mots-clés : equations of motion 
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     author = {D. A. Eliseev and E. P. Kubyshkin},
     title = {Equations of {Motion} of a {Rigid} {Body} with {Two} {Elastic} {Rods}},
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D. A. Eliseev; E. P. Kubyshkin. Equations of Motion of a Rigid Body with Two Elastic Rods. Modelirovanie i analiz informacionnyh sistem, Tome 21 (2014) no. 1, pp. 66-72. http://geodesic.mathdoc.fr/item/MAIS_2014_21_1_a4/