Article
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Hertz Elastic Dynamics of Two Colliding Elastic Spheres
Version 1
: Received: 5 September 2020 / Approved: 7 September 2020 / Online: 7 September 2020 (03:20:09 CEST)
How to cite: Sun, B. Hertz Elastic Dynamics of Two Colliding Elastic Spheres. Preprints 2020, 2020090151. https://doi.org/10.20944/preprints202009.0151.v1 Sun, B. Hertz Elastic Dynamics of Two Colliding Elastic Spheres. Preprints 2020, 2020090151. https://doi.org/10.20944/preprints202009.0151.v1
Abstract
This paper revisits a classic problem in physics - Hertz elastic dynamics of two colliding elastic spheres. This study obtains impact period in terms of hypergeometric function and successfully combines Deresiewicz's three segmental solutions into one single solution. Our numerical investigation confirms that Deresiewicz's inversion is a good approximation. As an essential part of this study, a general Maple code is provided.
Keywords
Hertz impact dynamics; exact solution; numerical solution; inversion; Maple
Subject
Physical Sciences, Applied Physics
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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