Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

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Conservative motion of a discrete, tetrahedral top on a smooth horizontal plane


Author: Donald Greenspan
Journal: Quart. Appl. Math. 58 (2000), 17-36
MSC: Primary 70E18; Secondary 65P40, 70-08
DOI: https://doi.org/10.1090/qam/1738556
MathSciNet review: MR1738556
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Abstract | References | Similar Articles | Additional Information

Abstract: Tetrahedral tops are simulated as discrete, rigid bodies in rotation by introducing a molecular mechanics formulation. The contact point of the top with the $ \left( X, Y \right)$-plane is allowed to move in the plane. The conservative, dynamical differential equations are solved numerically in such a fashion that all the system invariants are preserved. Examples, which include cusp formation, and looping, are described and discussed.


References [Enhancements On Off] (What's this?)

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Additional Information

DOI: https://doi.org/10.1090/qam/1738556
Article copyright: © Copyright 2000 American Mathematical Society


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