Abstract
This article presents numerical methods in order to solve problems of tolerance analysis. A geometric specification, a contact specification and a functional requirement can be respectively characterized by a fmite set of geometric constraints, a finite set of contact constraints and a finite set of functional constraints. Mathematically each constraint formalises a n-face (hyperplan of dimension n) of a n-polytope (1 ≤ n ≤ 6). Thus the relative position between two any surfaces of a mechanism can be calculated with two operations on polytopes: the Minkowski sum and the Intersection. The result is a new polytope: the calculated polytope. The inclusion of the calculated polytope inside the functional polytope indicates if the functional requirement is satisfied or not satisfied. Examples illustrate these numerical methods.
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© 1999 Springer Science+Business Media Dordrecht
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Teissandier, D., Couetard, Y., Delos, V. (1999). Operations on polytopes: application to tolerance analysis. In: van Houten, F., Kals, H. (eds) Global Consistency of Tolerances. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-1705-2_43
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DOI: https://doi.org/10.1007/978-94-017-1705-2_43
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-5198-1
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