Analysing singularities of a benchmark problem
Numerical Analysis
2007-05-23 v1
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.
Cite
@article{arxiv.math/0611075,
title = {Analysing singularities of a benchmark problem},
author = {Teijo Arponen and Samuli Piipponen and Jukka Tuomela},
journal= {arXiv preprint arXiv:math/0611075},
year = {2007}
}
Comments
30 pages, 18 figures (yet small files), submitted to Multibody System Dynamics