Numerical simulation of finite dimensional multibody nonsmooth mechanical systems

By Bernard Brogliato, A. A. Ten Dam, L. Paoli, F. Génot, M. Abadie. 2001

229 citations recorded by the source corpus.

This paper focuses on the problems related to the numerical simulation of finite dimensional nonsmooth multibody mechanical systems. The rigid body dynamical case is examined here. This class of systems involves complementarity conditions and impact phenomena which make its study and numerical analysis a difficult problem that cannot be solved relying on known ODEs or DAEs integrators only. The main techniques, mathematical tools and existing algorithms are reviewed.

Subfields: Automotive Engineering, Civil and Structural Engineering, Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/40dbe0fc6dc5a30775d26d4e9d46afeeea084718

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In Control and Systems Engineering

1. Jong-Shi Pang
2. David E. Stewart
3. Roy Featherstone

Citations in the corpus

• Differential variational inequalities (2008, background): “Yet, as evidenced by the growing literature that has surfaced in recent years on multi-rigid-body dynamics with frictional contacts [3–6,17,18,90,91,94,95,98,101,102] and on hybrid engineering systems [21,49,51,52], ODEs and DAEs are vastly inadequate to deal with many naturally occurring engineerin”