Complementarity formulations and existence of solutions of dynamic multi-rigid-body contact problems with coulomb friction

1996 ◽  
Vol 73 (2) ◽  
pp. 199-226 ◽  
Author(s):  
Jong-Shi Pang ◽  
Jeffrey C. Trinkle
Keyword(s):  
Rigid Body ◽  
Coulomb Friction ◽  
Existence Of Solutions ◽  
Contact Problems ◽  
Body Contact

Rigid-Body Contact Using Finite Particle Method

2013 ◽  
Vol 684 ◽  
pp. 130-133
Author(s):  
Ying Yu ◽  
Ming Wu
Keyword(s):  
Rigid Body ◽  
Dynamic Equilibrium ◽  
Particle Method ◽  
Contact Problems ◽  
Internal Force ◽  
Body Contact ◽  
Space Truss ◽  
Iterative Correction ◽  
Force Calculation ◽  
Finite Particle

Using the recently proposed Finite Particle Method (FPM), this paper presents the rigid-body contact simulation of 3D structures. The FPM models the space truss with finite particles. Following Newton's second law, every particle is in a permanent dynamic equilibrium. Fictitious motion procedures are developed in the particle internal force calculation to handle the geometric nonlinearity without iterative correction. Contact model and corresponding algorithm are developed based on the FPM. A numerical example is presented to demonstrate the capability of the FPM for analyzing rigid-body contact problems.

DYNAMIC CONTACT PROBLEMS WITH SMALL COULOMB FRICTION FOR VISCOELASTIC BODIES: EXISTENCE OF SOLUTIONS

1999 ◽  
Vol 09 (01) ◽  
pp. 11-34 ◽  
Author(s):  
J. JARUŠEK ◽  
C. ECK
Keyword(s):  
Contact Problem ◽  
Coulomb Friction ◽  
Existence Of Solutions ◽  
Contact Problems ◽  
Dynamic Contact ◽  
Contact Condition ◽  
Regularization Methods ◽  
Dynamic Contact Problem ◽  
The Coefficient Of Friction ◽  
Viscoelastic Bodies

The existence of solutions to the dynamic contact problem with Coulomb friction for viscoelastic bodies is proved with the use of penalization and regularization methods. The contact condition, which describes the nonpenetrability of mass, is formulated in velocities. The coefficient of friction may depend on the solution but is assumed to be bounded by a certain constant.

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