ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)


Cite this article as:

Чистяков В. В. About rotational dynamics of a rigid body around non-principal axis passing through the center of mass under dry friction acting. Izvestiya VUZ. Applied Nonlinear Dynamics, 2014, vol. 22, iss. 2, pp. 3-15. DOI: https://doi.org/10.18500/0869-6632-2014-22-2-3-15

Language: 
Russian

About rotational dynamics of a rigid body around non-principal axis passing through the center of mass under dry friction acting

Abstract: 

The dynamics is studying for rigid body rotating around fixed axis Oz being central but not principal. Therefore the inertial torques Mx and My arose depending both on mass geometry Jxz, Jyz  and on angular velocity ? and acceleration ". Dry friction acting on axis’s supports with coefficient  ? leads to that the value of " serves as the reason and result of the motion simultaneously. There  were integrated numerically and/or analytically the dynamical equations of free and forced motion  including rotational harmonic and inharmonic oscillations too. The results obtained are comparing  with those following from the standard linear equations.

DOI: 
10.18500/0869-6632-2014-22-2-3-15
References: 

1. Смирнов Ю.П. Об уравнениях динамики систем с трением// Сборник научно-методических статей по теоретической механике. Вып. 11. М.: Высшая школа, 1981. С. 184. 2. Borisov A.V., Jalnin A.Yu., Kuznetsov S.P., Sataev I.R., Sedova J.V. Dynamical phenomena occurring due to phase volume compression in nonholonomic model of the rattleback // Regular and Chaotic Dynamics. 2012. Vol. 17, No 6. P. 512. 3. Лурье А.И. Аналитическая механика. М.: Наука, 1961. 4. Painleve P.  ? Lec,ons sur le frottement. Paris: Hermann, 1895. (Пэнлеве П. Лекции о трении. М.: Гостехиздат, 1954.) 5. Маркеев А.П. Теоретическая механика: Учебник для университетов. М.: ЧеРо, 1999. 6. Бать М.И., Джанелидзе Г.Ю., Кельзон А.С. Теоретическая механика в примерах и задачах. М.: Наука, 1973.

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