Article Dans Une Revue Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik Année : 1998

Analytic Geometry and Singularities of Mechanisms

Résumé

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

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hal-04367002 , version 1 (18-02-2026)

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Jean Lerbet. Analytic Geometry and Singularities of Mechanisms. Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1998, 78 (10), pp.687-694. ⟨10.1002/(SICI)1521-4001(199810)78:10<687::AID-ZAMM687>3.0.CO;2-T⟩. ⟨hal-04367002⟩
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