Equations of Motion of a Rigid Body with Two Elastic Rods
https://doi.org/10.18255/1818-1015-2014-1-66-72
Abstract
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.
About the Authors
D. A. Eliseev
P.G. Demidov Yaroslavl State University
Russian Federation
Russian Federation
аспирант,
Sovetskaya str., 14, Yaroslavl, 150000, Russia
E. P. Kubyshkin
P.G. Demidov Yaroslavl State University
Russian Federation
Russian Federation
д-р физ.-мат. наук, профессор кафедры математического моделирования,
Sovetskaya str., 14, Yaroslavl, 150000, Russia
References
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2. Кубышкин Е.П. Уравнения движения одной механической системы, моделирующей динамику манипуляционного робота // Математика, кибернетика, информатика: труды международной научной конференции памяти А.Ю. Левина / Под редакцией С.А. Кащенко, В.А. Соколова / Яросл. гос. ун-т. Ярославль, 2008. С. 100–103. (Kubyshkin E.P. Uravneniya dvizheniya odnoy mekhanicheskoy sistemy, modeliruyushchey dinamiku manipulyatsionnogo robota // Matematika, kibernetika, informatika: trudy mezhdunarodnoy nauchnoy konferentsii pamyati A.Yu. Levina / Pod redaktsiyey S.A. Kaschenko, V.A. Sokolova / Yarosl. gos. un-t. Yaroslavl, 2008. S. 100–103 [in Russian].)
Review
For citations:
Eliseev D.A., Kubyshkin E.P. Equations of Motion of a Rigid Body with Two Elastic Rods. Modeling and Analysis of Information Systems. 2014;21(1):66-72. (In Russ.) https://doi.org/10.18255/1818-1015-2014-1-66-72
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