Statistical Tolerance Analysis Based on Constraint Satisfaction Problems and Monte Carlo Simulation

Author:

Jiang Yong Jun1

Affiliation:

1. Inner Monglia University of Science and Technology

Abstract

This paper deals with the mathematical formulation of tolerance analysis. The mathematical formulation presented simulates the influences of geometrical deviations on the geometrical behavior of the mechanism, and integrates the quantifier notion. We propose a mathematical formulation of tolerance analysis which simulates the influences of geometrical deviations on the geometrical behavior of the mechanism, and integrates the quantifier notion. To compute this mathematical formulation, two approaches based on Quantified Constraint Satisfaction Problem solvers and Monte Carlo simulation are proposed and tested.

Publisher

Trans Tech Publications, Ltd.

Subject

General Engineering

Reference8 articles.

1. K.W. Chase and A.R. Parkinson, A survey of research in the application of tolerance analysis to the design of mechanical assemblies, Research in Engineering Design 3 (1991), p.23–37.

2. Y.S. Hong and T. -C. Chang, A comprehensive review of tolerancing research, International Journal of Production Research 40 (11) (2002), p.2425–2459.

3. S.D. Nigam and J.U. Turner, Review of statistical approaches to tolerance analysis, ComputerAided Design 27 (1) (1995), p.6–15.

4. Mamoulis N, Stergiou K. Algorithms for quantified constraint satisfaction problems. In: Proceedings of CP-2004. 2004. p.752–6.

5. Z. Zou and E.P. Morse, A gap-based approach to capture fitting conditions for mechanical assembly, Computer Aided Design 36 (8) (2004), p.691–700.

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