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Splitting Methods for Dry Frictional Contact Problems in Rigid Multibody Systems: Preliminary Performance Results

Claude Lacoursière
- Iss: 010, pp 11-16
TLDR
A splitting method for solving LCP based models of dry frictional contact problems in rigid multibody systems based on box MLCP solver is presented and their performance is compared both on random problems and on simulation data.
Abstract
A splitting method for solving LCP based models of dry frictional contact problems in rigid multibody systems based on box MLCP solver is presented. Since such methods rely on fast and robust box MLCP solvers, several methods are reviewed and their performance is compared both on random problems and on simulation data. We provide data illustrating the convergence rate of the splitting method which demonstrates that they present a viable alternative to currently available methods. CR Categories: G.1.6 [Mathematics of Computing]: Optimization—Nonlinear Programming I.3.5 [Computer Graphics]: Computational Geometry and Object Modeling—Physically based modeling I.3.7 [Computer Graphics]: Three-Dimensional Graphics and Realism—Virtual Reality I.6.8 [Simulation and Modeling]: Types of Simulation—Animation

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Citations
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Interactive Simulation of Rigid Body Dynamics in Computer Graphics

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Copositive optimization — recent developments and applications

TL;DR: Copositivity appears in local and global optimality conditions for quadratic optimization, but can also yield tighter bounds for NP-hard combinatorial optimization problems.
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Velocity-based shock propagation for multibody dynamics animation

TL;DR: Novel contributions include a new, explicit, fixed time-stepping scheme for velocity-based complementarity formulations using shock propagation with a simple reliable implementation strategy for an iterative complementarity problem solver specifically optimized for multibody dynamics.

Ghosts and machines : regularized variational methods for interactive simulations of multibodies with dry frictional contacts

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Think co(mpletely)positive ! Matrix properties, examples and a clustered bibliography on copositive optimization

TL;DR: A systematic construction principle for non-attainability phenomena, which apparently has not been noted before in an explicit way is presented, and for the first time, a somehow systematic clustering of the vast and scattered literature is attempted.
References
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