Necessary and Sufficient Conditions of Rolling and Sliding of a Spherical Shell in a Helical Channel

Necessary and Sufficient Conditions of Rolling and Sliding of a Spherical Shell in a Helical Channel We investigate the conditions when the motion of a heavy ball in a helical channel takes the form of rolling or rolling with partial sliding. This problem is relevant for the manufacturing technology of unsuspended spherical laser targets being developed at the thermonuclear target laboratory at the Lebedev Physics Institute of the Russian Academy of Sciences. While moving through the cryostat channel, the laser target may slide part of the way, which causes undesirable damage to its surface. We study the possible motion regimes with the objective of determining the optimal regime that minimizes the sliding length. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Computational Mathematics and Modeling Springer Journals

Necessary and Sufficient Conditions of Rolling and Sliding of a Spherical Shell in a Helical Channel

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Publisher
Springer Journals
Copyright
Copyright © 2018 by Springer Science+Business Media, LLC, part of Springer Nature
Subject
Mathematics; Mathematical Modeling and Industrial Mathematics; Computational Mathematics and Numerical Analysis; Applications of Mathematics; Optimization
ISSN
1046-283X
eISSN
1573-837X
D.O.I.
10.1007/s10598-018-9408-3
Publisher site
See Article on Publisher Site

Abstract

We investigate the conditions when the motion of a heavy ball in a helical channel takes the form of rolling or rolling with partial sliding. This problem is relevant for the manufacturing technology of unsuspended spherical laser targets being developed at the thermonuclear target laboratory at the Lebedev Physics Institute of the Russian Academy of Sciences. While moving through the cryostat channel, the laser target may slide part of the way, which causes undesirable damage to its surface. We study the possible motion regimes with the objective of determining the optimal regime that minimizes the sliding length.

Journal

Computational Mathematics and ModelingSpringer Journals

Published: May 31, 2018

References

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