Geometric reasoning in the analysis of assemblies and mechanisms

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

This work proposes Divide-and-Conquer techniques applied to local Geometric Constraint Satisfaction or Scene Feasibility (GCS/SF) subproblems to identify strongly constrained clusters of geometric entities. Cluster identification can be related to identifying short cycles in the Spatial Constraint graph for the GCS/SF problem. Their preprocessing uses the aforementioned Algebraic Geometry and Group theoretical techniques on the local GCS/SF problems that correspond to these cycles. Besides improving the efficiency of the solution approach, the Divide-and-Conquer techniques capture the physical essence of the problem. This is illustrated by applying tbe discussed techniques to the analysis of the degrees ot freedom of mechanisms.

Original languageEnglish (US)
Title of host publicationComputer Integrated Concurrent Design Conference
EditorsR. Gadh
PublisherASME
Pages939-952
Number of pages14
Volume83
Edition2 Pt 2
StatePublished - 1995
EventProceedings of the 1995 ASME Design Engineering Technical Conference - Boston, MA, USA
Duration: Sep 17 1995Sep 20 1995

Other

OtherProceedings of the 1995 ASME Design Engineering Technical Conference
CityBoston, MA, USA
Period9/17/959/20/95

ASJC Scopus subject areas

  • Engineering(all)

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