Reliability-based tolerance redesign of mechanical assemblies using Jacobian-Torsor model

The purpose of this paper is to present a new method to redesign dimensional and geometric tolerances of mechanical assemblies at a lower cost and with higher reliability. A parametric Jacobian-Torsor model is proposed to conduct tolerance analysis of mechanical assembly. A reliability-based toleran...

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Bibliographic Details
Published in:Science progress (1916) 2021-04, Vol.104 (2), p.1-19
Main Authors: Wang, Bingxiang, Huang, Xianzhen, Chang, Miaoxin
Format: Article
Language:English
Subjects:
Assemblies
Assembly
Dimensional tolerances
Economic impact
Exact solutions
Lagrange multiplier
Optimization
Process parameters
Redesign
Reliability analysis
Tolerances
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Summary:The purpose of this paper is to present a new method to redesign dimensional and geometric tolerances of mechanical assemblies at a lower cost and with higher reliability. A parametric Jacobian-Torsor model is proposed to conduct tolerance analysis of mechanical assembly. A reliability-based tolerance optimization model is established. Differing from previous studies of fixed process parameters, this research determines the optimal process variances of tolerances, which provide basis for the subsequent assembly tolerance redesign. By using the Lambert W function and the Lagrange multiplier method, the analytical solution of the parametric tolerance optimization model is obtained. A numerical example is presented to demonstrate the effectiveness of the model, while the results indicate that the total cost is reduced by 10.93% and assembly reliability improves by 2.12%. This study presents an efficient reliability-based tolerance optimization model. The proposed model of tolerance redesign can be used for mechanical assembly with a better economic effect and higher reliability.
ISSN:0036-8504
2047-7163
DOI:10.1177/00368504211013227