Numerical Analysis of Shock Interactions with the Example of Painleve Paradox with a “Slanted” Fall of a Rod
- Authors: Miller B.M.1,2, Rubinovich E.Y.3
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Affiliations:
- Kharkevich Institute for Information Transmission Problems
- Monash University
- Trapeznikov Institute of Control Sciences
- Issue: Vol 80, No 10 (2019)
- Pages: 1835-1846
- Section: Topical Issue
- URL: https://journal-vniispk.ru/0005-1179/article/view/151190
- DOI: https://doi.org/10.1134/S0005117919100059
- ID: 151190
Cite item
Abstract
We consider a system that belongs to the class of well-known Painlevé problems; to solve it, we use the method of opening spatio-temporal singularities proposed by the authors. This method makes it possible to unambiguously solve the problem of finding the speeds of a body after hitting a surface with dry friction, i.e., to resolve a situation where traditional approaches either yield an ambiguous answer or lead to an infeasible system of relations (the Painlevé paradox).
About the authors
B. M. Miller
Kharkevich Institute for Information Transmission Problems; Monash University
Author for correspondence.
Email: bmiller@iitp.ru
Russian Federation, Moscow; Melbourne, Victoria
E. Ya. Rubinovich
Trapeznikov Institute of Control Sciences
Email: bmiller@iitp.ru
Russian Federation, Moscow
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