Open Access
VOL. 14 | 2013 Some Constraints and Symmetries in Dynamics of Homogeneously Deformable Elastic Bodies
Barbara Gołubowska, Vasyl Kovalchuk, Ewa E. Rożko, Jan J. Sławianowski

Editor(s) Ivaïlo M. Mladenov, Andrei Ludu, Akira Yoshioka

Geom. Integrability & Quantization, 2013: 103-115 (2013) DOI: 10.7546/giq-14-2013-103-115

Abstract

Our work has been inspired among others by the work of Arnold, Kozlov and Neihstadt. Our goal is to carry out a thorough analysis of the geometric problems we are faced with in the dynamics of affinely rigid bodies. We examine two models: classical dynamics description by d'Alembert and vakonomic one. We conclude that their results are quite different. It is not yet clear which model is practically better.

Information

Published: 1 January 2013
First available in Project Euclid: 13 July 2015

zbMATH: 1382.70005
MathSciNet: MR3183933

Digital Object Identifier: 10.7546/giq-14-2013-103-115

Rights: Copyright © 2013 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences

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