Analysing singularities of a benchmark problem

Details Analysing singularities of a benchmark problem Analysing singularities of a benchmark problem

2006-11-03

arxiv.org/abs/math/0611075v1

Mathematics

Numerical Analysis

30 pages, 18 figures (yet small files), submitted to Multibody System Dynamics

Scientific paper

The purpose of this paper is to analyze the singularities of a well known benchmark problem ``Andrews' squeezing mechanism''. We show that for physically relevant parameter values this system admits singularities. The method is based on Gr\"obner bases computations and ideal decomposition. It is algorithmic and can thus be applied to study constraint singularities which arise in more general situations.

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