ABOUT ROTATIONAL DYNAMICS OF A RIGID BODY AROUND NON-PRINCIPAL AXIS PASSING THROUGH THE CENTER OF MASS UNDER DRY FRICTION ACTING
Cite this article as:
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: https://doi.org/10.18500/0869-6632-2014-22-2-3-15
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 ω and acceleration ". Dry friction acting on axis’s supports with coefficient δ 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.
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BibTeX
author = {Viktor Vladimirovich Chistyakov},
title = {ABOUT ROTATIONAL DYNAMICS OF A RIGID BODY AROUND NON-PRINCIPAL AXIS PASSING THROUGH THE CENTER OF MASS UNDER DRY FRICTION ACTING},
year = {2014},
journal = {Izvestiya VUZ. Applied Nonlinear Dynamics},
volume = {22},number = {2},
url = {https://old-andjournal.sgu.ru/en/articles/about-rotational-dynamics-of-rigid-body-around-non-principal-axis-passing-through-the},
address = {Саратов},
language = {russian},
doi = {10.18500/0869-6632-2014-22-2-3-15},pages = {3--15},issn = {0869-6632},
keywords = {Astatic rotator,axis of inertia,inertial torque,dry friction,quadratic drag,rotational oscillations.},
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 ω and acceleration ". Dry friction acting on axis’s supports with coefficient δ 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. }}