On the simulation of multibody systems with holonomic constraints

Details On the simulation of multibody systems with holonomic constraints On the simulation of multibody systems with holonomic constraints

2006-11-03

arxiv.org/abs/math/0611078v1

Mathematics

Numerical Analysis

32 pages, 12 figures, submitted to IMA J. Numer. Analysis

Scientific paper

We use Lagrangian formalism and jet spaces to derive a computational model to
simulate multibody dynamics with holonomic constraints. Our approach avoids the
traditional problems of drift-off and spurious oscillations. Hence even long
simulations remain physically relevant. We illustrate our method with several
numerical examples.

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