Premium
Analytic Geometry and Singularities of Mechanisms
Author(s) -
Lerbet J.
Publication year - 1998
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/(sici)1521-4001(199810)78:10<687::aid-zamm687>3.0.co;2-t
Subject(s) - tangent , gravitational singularity , point (geometry) , set (abstract data type) , singularity , variety (cybernetics) , analytic geometry , geometry , mathematics , tangent cone , pure mathematics , cone (formal languages) , tangent space , mechanism (biology) , algebra over a field , mathematical analysis , computer science , physics , algorithm , statistics , quantum mechanics , programming language
In this article, we analyse the geometrical structure of the set M of configurations of a mechanism. Using Lie groups language and without any hypothesis of regularity, one can attach to this set a structure of an analytic variety. We shall then compute the tangent cone at each point of this set without introducing any coordinates and we shall deduce the structure of M whatever the singularity may be. Finally, some examples are studied.