Vibro-Impact Problems with Dry Friction---Part I: Existence Result

DOI10.1137/140988899zbMath1329.34046OpenAlexW1880196633MaRDI QIDQ2947445

Laetitia Paoli

Publication date: 24 September 2015

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

Full work available at URL: https://doi.org/10.1137/140988899

zbMATH Keywords

measure differential inclusiondiscrete mechanical systemtime-discretization schemePainlevé's paradoxesCoulombs frictionunilateral contraint

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 II: Tangential Contacts and Frictional Catastrophes ⋮ Dynamical Systems Coupled with Monotone Set-Valued Operators: Formalisms, Applications, Well-Posedness, and Stability

Uses Software

• Meschach

Cites Work

• A proximal-like method for a class of second order measure-differential inclusions describing vibro-impact problems
• Differential inclusions in nonsmooth mechanical problems. Shocks and dry friction
• A chain rule involving vector functions of bounded variation
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• Formulating dynamic multi-rigid-body contact problems with friction as solvable linear complementarity problems
• Time-stepping for three-dimensional rigid body dynamics
• A convergence result for a vibro-impact problem with a general inertia operator
• Vibro-Impact Problems with Dry Friction---Part II: Tangential Contacts and Frictional Catastrophes
• Frictional contact models with local compliance: semismooth formulation
• 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
• A semi‐implicit time‐stepping model for frictional compliant contact problems
• Convergence of Time-Stepping Method for Initial and Boundary-Value Frictional Compliant Contact Problems
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