Abstract
The analysis of the difficulties encountered with traditional dimension chains in the description of the behaviour of a set of parts, with variation, has led us to develop a tridimensional model of variations. It is therefore designed to treat the problem of transfer of dimensions.
The definition of the model of the variation on surfaces of parts relies on a 2-type classification of defaults which allows to then connect them formally.With this model, the requirements of tolerancing have brought about a definition of two operators. The first determines the specifications that may be found on a part by defining the intersection of the domains of deviation of surfaces in relation with their nominal model. The second calculates the union of motions of a part under the influence of each of the mating faces with contiguous parts.
The implementation of the model and of the two operators then allows for a definition of the varied possible configurations of the mechanism. For each of these configurations, the constraints of tolerancing that are exerted on the geometry of each part in a mechanism can be expressed mathematically.
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© 1996 Chapman & Hall
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Bourdet, P., Ballot, É. (1996). Geometrical Behavior Laws for Computer-aided Tolerancing. In: Kimura, F. (eds) Computer-aided Tolerancing. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-1529-9_8
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DOI: https://doi.org/10.1007/978-94-009-1529-9_8
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-7183-3
Online ISBN: 978-94-009-1529-9
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