Abstract
This chapter contributes to the study of dynamic properties of a chain of n heavy Hess tops coupled by ideal spherical joints by constructing a new class of particular solutions of the equations of chain’s motion. The new class describes the chain’s motions under which all bodies move similar to each other. We establish conditions for existence of the new solutions and show how the equations of motion can be reduced to quadratures in the case when these conditions are fulfilled.
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Acknowledgements
Support for this project was provided by a PSC-CUNY Award, jointly funded by The Professional Staff Congress and The City University of New York (Award # 67306-00 45).
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Chebanov, D. (2016). On the Problem of Similar Motions of a Chain of Coupled Heavy Rigid Bodies. In: Bélair, J., Frigaard, I., Kunze, H., Makarov, R., Melnik, R., Spiteri, R. (eds) Mathematical and Computational Approaches in Advancing Modern Science and Engineering. Springer, Cham. https://doi.org/10.1007/978-3-319-30379-6_5
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DOI: https://doi.org/10.1007/978-3-319-30379-6_5
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