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A statistical tolerance analysis approach for over-constrained mechanism based on optimization and Monte Carlo simulation

Lookup NU author(s): Dr Ahmed Qureshi


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Tolerancing decisions can profoundly impact the quality and cost of the mechanism. To evaluate the impact of tolerance on mechanism quality, designers need to simulate the influences of tolerances with respect to the functional requirements. This paper proposes a mathematical formulation of tolerance analysis which integrates the notion of quantifier: “For allacceptable deviations (deviations which are inside tolerances),there existsa gap configurationsuch asthe assembly requirements and the behavior constraints are verified” & “For allacceptable deviations (deviations which are inside tolerances), andfor alladmissible gap configurations, the assembly and functional requirements and the behavior constraints are verified”. The quantifiers provide a univocal expression of the condition corresponding to a geometrical product requirement. This opens a wide area for research in tolerance analysis. To solve the mechanical problem, an approach based on optimization is proposed. Monte Carlo simulation is implemented for the statistical analysis. The proposed approach is tested on an over-constrained mechanism.

Publication metadata

Author(s): Qureshi AJ, Dantan J-Y, Sabri V, Beaucaire P, Gayton N

Publication type: Article

Publication status: Published

Journal: Computer Aided Design

Year: 2012

Volume: 44

Issue: 2

Pages: 132-142

Print publication date: 01/02/2012

ISSN (print): 0010-4485

ISSN (electronic): 1879-2685

Publisher: Pergamon


DOI: 10.1016/j.cad.2011.10.004


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