文档介绍：Available online at hanism
and
Machine Theory
Mechanism and Machine Theory 43 (2008) 1478–1494
ate/mechmt
Vectorial tolerance allocation of bevel gear by
discrete optimization
Jean-Yves Dantan *,Je´rome Bruyere, Jean-Paul Vincent, Regis Bigot
Laboratoire de Ge´nie Industriel et de Production Me´canique, . de Metz, 4 Rue A. Fresnel, 57070 METZ Cedex, France
Received 20 June 2007; received in revised form 5 November 2007; accepted 5 November 2007
Available online 26 December 2007
Abstract
The purpose of functional tolerancing process is to define the geometrical specifications (tolerances) of parts ensuring
functional requirements. An important distinction in tolerance process is that engineers are monly faced with the
problem of tolerance synthesis rather than tolerance analysis. In tolerance analysis the parts tolerances are all known and
the resulting geometrical requirement respect is calculated. In tolerance synthesis, on the other hand, the geometrical
requirement is known from design requirements, whereas the magnitudes of the parts tolerances to meet these require-
ments are unknown. In this paper, we focus on the gear tolerances, and we propose an approach based statistical analysis
for tolerance analysis and ic algorithm for tolerance synthesis. Usually, statistical tolerance analysis uses a relation-
ship between parts deviations and functional characteristics. In the case of tolerance analysis of gears, thus relationship is
not available in analytic form, the determination of a functional characteristic (kinematic error,...) involves a numerical
simulation. Therefore the Monte Carlo simulation, as the simplest and effectual method, is introduced into the frame.
Moreover, to optimize the tolerance cost, ic algorithm is improved. Indeed, this optimization problem is plex
that for traditional optimization algorithms it may be difficult or impossible to solve it because the objective function is not
available in analytic