Paper Title:
Optimal Statistical Tolerance Allocation of Assemblies for Minimum Manufacturing Cost
  Abstract

This paper explores a systematic method for optimal statistical tolerance allocation using the Lagrange multiplier method for minimizing manufacturing cost subject to constraints on dimensional chains and machining capabilities. The reciprocal power and exponential cost-tolerance models for statistical tolerancing are investigated for employing this method. The optimization problem is solved by applying the algorithmic approach. Especially, we further derive a closed-form expression of the tolerance optimization problem for reciprocal exponential cost-tolerance model by introducing the Lambert W function. For constrained minimization problems with only equality constraints, the optimum tolerance allocation can be obtained by solving simultaneous equations without further differentiating. An example is illustrated to demonstrate this approach. The result also shows that tolerances can be allocated quickly, economically and accurately using this method.

  Info
Periodical
Edited by
Zhou Mark
Pages
1818-1823
DOI
10.4028/www.scientific.net/AMM.52-54.1818
Citation
K. M. Cheng, J. C. Tsai, "Optimal Statistical Tolerance Allocation of Assemblies for Minimum Manufacturing Cost", Applied Mechanics and Materials, Vols. 52-54, pp. 1818-1823, 2011
Online since
March 2011
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