The contact problem in Lagrangian systems subject to bilateral and unilateral constraints, with or without sliding Coulomb's friction: a tutorial
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Publication:333504
DOI10.1007/s11044-016-9527-6zbMath1372.70044OpenAlexW2240883112MaRDI QIDQ333504
Florence Bertails-Descoubes, Alejandro Blumentals, Bernard Brogliato
Publication date: 31 October 2016
Published in: Multibody System Dynamics (Search for Journal in Brave)
Full work available at URL: https://hal.inria.fr/hal-01096394/file/ABBBBD.pdf
Lagrangian systemsKKT conditionscomplementarity problemunilateral constraintCoulomb's frictionbilateral constraintGauss' principle
Related Items (10)
Contact mechanics for dynamical systems: a comprehensive review ⋮ Feedback control of multibody systems with joint clearance and dynamic backlash: a tutorial ⋮ Le Canard de Painlevé ⋮ Lyapunov stability of a rigid body with two frictional contacts ⋮ The Geometry of the Painlevé Paradox ⋮ Planar multiple-contact problems subject to unilateral and bilateral kinetic constraints with static Coulomb friction ⋮ A general formulation for the contact between superellipsoid surfaces and nodal points ⋮ The contact problem in Lagrangian systems with redundant frictional bilateral and unilateral constraints and singular mass matrix. The all-sticking contacts problem ⋮ Dynamical Systems Coupled with Monotone Set-Valued Operators: Formalisms, Applications, Well-Posedness, and Stability ⋮ Automated generation of hybrid automata for multi-rigid-body mechanical systems and its application to the falsification of safety properties
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Cites Work
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- Inertial couplings between unilateral and bilateral holonomic constraints in frictionless Lagrangian systems
- Multibody dynamics with redundant constraints and singular mass matrix: existence, uniqueness, and determination of solutions for accelerations and constraint forces
- Kinetic quasi-velocities in unilaterally constrained Lagrangian mechanics with impacts and friction
- Singular mass matrix and redundant constraints in unilaterally constrained Lagrangian and Hamiltonian systems
- On the unique solvability of a direct dynamics problem for mechanisms with redundant constraints and Coulomb friction in joints
- A qualitative mathematical analysis of a class of linear variational inequalities via semi-complementarity problems: applications in electronics
- Augmented Lagrangian formulation: Geometrical interpretation and application to systems with singularities and redundancy
- Joint reactions in rigid body mechanisms with dependent constraints
- Partitioned half-explicit Runge-Kutta methods for differential-algebraic system of index 2
- Right-hand solutions of the differential equations of dynamics for mechanical systems with sliding friction
- A variational inequality-based formulation of the frictional contact law with a non-associated sliding rule
- A complementarity approach to a quasistatic multi-rigid-body contact problem
- Periodic motion and bifurcations induced by the Painlevé paradox
- Complementarity formulations and existence of solutions of dynamic multi-rigid-body contact problems with Coulomb friction
- Computational flexible multibody dynamics. A differential-algebraic approach
- New results on Painlevé paradoxes
- Lie-group integration method for constrained multibody systems in state space
- Lagrangian mechanics of overparameterized systems
- Convergence of the generalized-\(\alpha\) scheme for constrained mechanical systems
- Numerical methods for nonsmooth dynamical systems. Applications in mechanics and electronics
- Stability and convergence of mechanical systems with unilateral constraints
- Higher order Moreau's sweeping process: mathematical formulation and numerical simulation
- Local convergence of the method of multipliers for variational and optimization problems under the noncriticality assumption
- Solving constrained mechanical systems by the family of Newmark and α-methods
- Explicit equations of motion for constrained mechanical systems with singular mass matrices and applications to multi-body dynamics
- Perturbation Bounds of P-Matrix Linear Complementarity Problems
- Mechanical Systems of Rigid Bodies Subject to Unilateral Constraints
- Coulomb Friction in Two‐Dimensional Rigid Body Systems
- The contact problem for linear continuous-time dynamical systems: a geometric approach
- Complementarity modeling of hybrid systems
- Response to Bucy’s comment on a paper by Udwadia and Kalaba
- A time-stepping method for stiff multibody dynamics with contact and friction
- Finite-Dimensional Variational Inequalities and Complementarity Problems
- On a Problem in Linear Inequalities
- Convex Analysis
- Equations of motion for general constrained systems in Lagrangian mechanics
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