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Numerical analysis of shock interactions with the example of Painleve paradox with a “slanted” fall of a rod
B. M. Millerab, E. Ya. Rubinovichc a Kharkevich Institute for Information Transmission Problems, Russian Academy of Sciences, Moscow, Russia
b Monash University, Melbourne, Australia
c Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia
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).
Keywords:
shock interaction with dry friction, Painlevé problem.
Received: 19.07.2018 Revised: 11.10.2018 Accepted: 08.11.2018
Citation:
B. M. Miller, E. Ya. Rubinovich, “Numerical analysis of shock interactions with the example of Painleve paradox with a “slanted” fall of a rod”, Avtomat. i Telemekh., 2019, no. 10, 100–114; Autom. Remote Control, 80:10 (2019), 1835–1846
Linking options:
https://www.mathnet.ru/eng/at15366 https://www.mathnet.ru/eng/at/y2019/i10/p100
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Abstract page: | 176 | Full-text PDF : | 22 | References: | 17 | First page: | 9 |
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