Configuration Spaces of Mechanical Linkages
نویسندگان
چکیده
منابع مشابه
Configuration Spaces of Linkages
This paper studies the configuration space of all possible positions of a linkage in R n. For example, it shows that for every compact algebraic set, there is a linkage whose configuration space is analytically isomorphic to a finite number of copies of the algebraic set. If flexible edges are allowed, any compact set given by polynomial equalities and inequalities is the configuration space of...
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There exists a homeomorphism between any compact orientable closed surface and the configuration space of an appropriate mechanical linkage defined by a weighted graph embedded in the Euclidean plane. 1. I n t r o d u c t i o n A m e c h a n i c a l l inkage G is a mechanism in the Euclidean plane R 2 that is built up exclusively from rigid bars joined along flexible links. Some links of the li...
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We prove realizability theorems for vector-valued polynomial mappings, real-algebraic sets and compact smooth manifolds by moduli spaces of planar linkages. We also establish a relation between universality theorems for moduli spaces of mechanical linkages and projective arrangements.
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The paper describes research in computer-aided design of mechanical systems using configuration spaces. The research addresses the core design task of rigid-body contact analysis and related tasks. Contact analysis is a computational bottleneck in mechanical design, especially in systems with complex part shapes, tight fits, and contact changes. Manual analysis is error-prone and time-consuming...
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ژورنال
عنوان ژورنال: Discrete & Computational Geometry
سال: 1999
ISSN: 0179-5376
DOI: 10.1007/pl00009462