Analysing singularities of a benchmark problem
Teijo Arponen, Samuli Piipponen, Jukka Tuomela
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 Gröbner 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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