Paper Title:
A Closed-Form Approach for Optimum Tolerance Allocation of Assemblies with General Tolerance-Cost Function
  Abstract

Tolerancing is one of the most crucial foundations for industry development and an index of product quality and cost. As tolerance allocation is based on manufacturing costs, this paper proposes a comprehensive method for optimal tolerance allocation with minimum manufacturing cost subject to constraints on dimensional chains and machining capabilities. The general reciprocal power and exponential cost-tolerance models with equality constraints as well as the worst-case and statistical tolerancings are employed in this method. A closed-form solution for the optimization problem by applying Lagrange multipliers is derived. The optimal tolerance allocation problem for reciprocal exponential cost-tolerance model by introducing Lambert W function is demonstrated. For constrained minimization problems with only equality constraints, the optimum design can be obtained by solving simultaneous equations without differentiating. An example is illustrated to demonstrate this approach. The result also shows that tolerance can be allocated economically and accurately using this method. The contribution of this paper is to solve the optimal tolerancing allocation problem by an efficient and robust method with simultaneous active constraints.

  Info
Periodical
Advanced Materials Research (Volumes 201-203)
Edited by
Daoguo Yang, Tianlong Gu, Huaiying Zhou, Jianmin Zeng and Zhengyi Jiang
Pages
1272-1278
DOI
10.4028/www.scientific.net/AMR.201-203.1272
Citation
K. M. Cheng, J. C. Tsai, "A Closed-Form Approach for Optimum Tolerance Allocation of Assemblies with General Tolerance-Cost Function", Advanced Materials Research, Vols. 201-203, pp. 1272-1278, 2011
Online since
February 2011
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Price
$35.00
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