Vibro-Impact Problems with Dry Friction---Part II: Tangential Contacts and Frictional Catastrophes

DOI10.1137/140988905zbMath1351.34019OpenAlexW2325771211MaRDI QIDQ2798649

Laetitia Paoli

Publication date: 13 April 2016

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/140988905

zbMATH Keywords

measure differential inclusionunilateral constraintCoulomb's frictiondiscrete mechanical systemtime-discretization schemePainlevé's paradoxes

Mathematics Subject Classification ID

Ordinary differential inclusions (34A60) Dynamics of multibody systems (70E55) Collision of rigid or pseudo-rigid bodies (70F35) Numerical methods for ordinary differential equations (65L99) The dynamics of infinite particle systems (70F45)

Related Items (3)

Dynamics Beyond Dynamic Jam; Unfolding the Painlevé Paradox Singularity ⋮ Vibro-Impact Problems with Dry Friction---Part I: Existence Result ⋮ Dynamical Systems Coupled with Monotone Set-Valued Operators: Formalisms, Applications, Well-Posedness, and Stability

Cites Work

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• Differential inclusions in nonsmooth mechanical problems. Shocks and dry friction
• A chain rule involving vector functions of bounded variation
• Convergence of a time-stepping scheme for rigid-body dynamics and resolution of Painlevé's problem
• New results on Painlevé paradoxes
• Vibro-Impact Problems with Dry Friction---Part I: Existence Result
• Non-Absolutely Convergent Integrals with Respect to Functions of Bounded Variation
• Existence and uniqueness for dynamical unilateral contact with Coulomb friction: a model problem
• Existence and uniqueness of solutions to dynamical unilateral contact problems with coulomb friction: the case of a collection of points

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