Numerical Analysis of Shock Interactions with the Example of Painleve Paradox with a “Slanted” Fall of a Rod


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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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