Proceedings of the International Conference on Geometry, Integrability and Quantization

Some Constraints and Symmetries in Dynamics of Homogeneously Deformable Elastic Bodies

Barbara Gołubowska, Vasyl Kovalchuk, Ewa E. Rożko, and Jan J. Sławianowski

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.

Article information

Source
Proceedings of the Fourteenth International Conference on Geometry, Integrability and Quantization, Ivaïlo M. Mladenov, Andrei Ludu and Akira Yoshioka, eds. (Sofia: Avangard Prima, 2013), 103-115

Dates
First available in Project Euclid: 13 July 2015

Permanent link to this document
https://projecteuclid.org/ euclid.pgiq/1436795015

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

Mathematical Reviews number (MathSciNet)
MR3183933

Zentralblatt MATH identifier
1382.70005

Citation

Gołubowska, Barbara; Kovalchuk, Vasyl; Rożko, Ewa E.; Sławianowski, Jan J. Some Constraints and Symmetries in Dynamics of Homogeneously Deformable Elastic Bodies. Proceedings of the Fourteenth International Conference on Geometry, Integrability and Quantization, 103--115, Avangard Prima, Sofia, Bulgaria, 2013. doi:10.7546/giq-14-2013-103-115. https://projecteuclid.org/euclid.pgiq/1436795015


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