A semi-explicit algorithm for solving multibody contact dynamics with large deformation

Lei Peng (1) , Zhi-Qiang Feng (2, 1) , Pierre Joli (2)

1 School of Mechanics and Engineering [Chengdu]
2 LMEE - Laboratoire de Mécanique et d'Energétique d'Evry

This work is devoted to the numerical modeling of contact problems in the context of multibody dynamics. Non-linearities including large deformation and frictional contact are modeled based on the finite element method. An improved approach by means of a semi-explicit calculation is applied to integrate the equation of motion. The frictional contact forces and the relative velocity establish an implicit relationship within the bi-potential framework. A hybrid methodology consisting of the Octree structure and the bounding volume hierarchy is proposed to reduce exhaustive contact inspections. Two numerical examples implemented in our in-house finite element software FER/Impact are given to illustrate the efficiency and accuracy of the resulting methods.

Mots clés: Bi-potential method; Semi-explicit algorithm; Contact detection; Multibody dynamics; Large deformation

Domaines: Mécanique [physics.med-ph]

Lei Peng, Zhi-Qiang Feng, Pierre Joli. A semi-explicit algorithm for solving multibody contact dynamics with large deformation. International Journal of Non-Linear Mechanics, 2018, 103, pp.82-92. ⟨10.1016/j.ijnonlinmec.2018.05.001⟩. ⟨hal-01803486⟩