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ON A PENDULUM MOTION IN MULTI-DIMENSIONAL SPACE. PART 3. DEPENDENCE OF FORCE FIELDS ON THE TENSOR OF ANGULAR VELOCITY
- Authors: Shamolin M.V.1
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Affiliations:
- Institute of Mechanics, Lomonosov Moscow State University
- Issue: Vol 24, No 2 (2018)
- Pages: 33-54
- Section: Articles
- URL: https://journals.ssau.ru/est/article/view/6304
- DOI: https://doi.org/10.18287/2541-7525-2018-24-2-33-54
- ID: 6304
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Abstract
In the proposed cycle of work, we study the equations of motion of dynamically symmetric fixed n-dimensional rigid bodies–pendulums located in a nonconservative force fields. The form of these equations is taken from the dynamics of real fixed rigid bodies placed in a homogeneous flow of a medium. In parallel, we study the problem of motion of a free n-dimensional rigid body also located in a similar force fields. Herewith, this free rigid body is influenced by a nonconservative tracing force; under action of this force, either the magnitude of the velocity of some characteristic point of the body remains constant, which means that the system possesses a nonintegrable servo constraint. In this work, we study that case when the force fields linearly depend on the tensor of angular velocity.
About the authors
M. V. Shamolin
Institute of Mechanics, Lomonosov MoscowState University
Author for correspondence.
Email: morenov.sv@ssau.ru
Russian Federation
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