Analysing singularities of a benchmark problem

Abstract

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.Comment: 30 pages, 18 figures (yet small files), submitted to Multibody System Dynamic