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On Lagrange multipliers in flexible multibody dynamics. (English) Zbl 1120.74517
Summary: The Lagrange multiplier technique plays a key role for the treatment of constraints in multibody systems. In contrast to the well-understood rigid body case, the formulation of constraints for elastic bodies requires special care. This paper provides an introduction to the underlying mathematical theory and shows which models are well-defined and which are questionable. Additionally, estimates on the influence of perturbations are given. A simulation example illustrates the results.

MSC:
74H15 Numerical approximation of solutions of dynamical problems in solid mechanics
74K99 Thin bodies, structures
Software:
MEXX; MBSPACK
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