Numerical analysis of shock interactions with the example of Painlevé paradox with a ``slanted fall of a rod

DOI10.1134/S0005117919100059zbMath1446.74176OpenAlexW2980962533MaRDI QIDQ2173044

Boris M. Miller, Evgeny Ya. Rubinovich

Publication date: 22 April 2020

Published in: Automation and Remote Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0005117919100059

zbMATH Keywords

dry frictionimpuls effectopening spatio-temporal singularity

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Friction in solid mechanics (74M10) Shocks and related discontinuities in solid mechanics (74J40)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The Painlevé paradox studied at a 3D slender rod
• Optimality condition in the control problem for a system described by a measure differential equation
• Convergence of a time-stepping scheme for rigid-body dynamics and resolution of Painlevé's problem
• Optimality conditions in generalized control problems. II: Sufficient conditions of optimality
• Impulsive control systems without commutativity assumptions
• Method of discontinuous time change in problems of control for impulse and discrete-continuous systems
• New results on Painlevé paradoxes
• Optimally controlled processes with unbounded derivatives
• Singular space-time transformations. Towards one method for solving the Painlevé problem
• Discontinuous solutions in the optimal control problems and their representation by singular space-time transformations
• Dynamical systems with discontinuous solutions and problems with unbounded derivatives
• On Differential Systems with Quadratic Impulses and Their Applications to Lagrangian Mechanics
• Rigid body collisions with friction
• Mouvement à un nombre fini de degrés de liberté avec contraintes unilatérales : cas avec perte d'énergie
• Rigid-Body Dynamics with Friction and Impact
• Dynamical Systems With Active Singularities of Elastic Type: A Modeling and Controller Synthesis Framework
• Existence and uniqueness for dynamical unilateral contact with Coulomb friction: a model problem
• An Extended Pontryagin Principle for Control Systems whose Control Laws Contain Measures

This page was built for publication: Numerical analysis of shock interactions with the example of Painlevé paradox with a ``slanted fall of a rod