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


For citation:

Chistyakov V. V. 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: 10.18500/0869-6632-2014-22-2-3-15

This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
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Language: 
Russian
Article type: 
Article
UDC: 
531.47+531.536+531.555.1

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

Autors: 
Chistyakov Victor Vladimirovich, FGBOU VPO "Yaroslavl State Pedagogical University. K.D. Ushinsky
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 ε and acceleration ε. Dry friction acting on axis’s supports with coefficient δ leads to that the value of ε 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.

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Received: 
20.01.2014
Accepted: 
03.02.2014
Published: 
31.07.2014
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