A Feasibility Robust Optimization Method Using Sensitivity Region Concept

[+] Author and Article Information
S. Gunawan

Department of Mechanical Engineering, University of Maryland, College Park, MD 20742

S. Azarm

Department of Mechanical Engineering, University of Maryland, College Park, MD 20742azarm@umd.edu

J. Mech. Des 127(5), 858-865 (Oct 28, 2004) (8 pages) doi:10.1115/1.1903000 History: Received January 22, 2004; Revised October 28, 2004

We present a robust optimization method that ensures feasibility of an optimized design when there are uncontrollable variations in design parameters. This method is developed based on the notion of a sensitivity region, which is a measure of how far a feasible design is from the boundary of a feasible domain in the parameter variation space. In this method, as the design moves further inside the feasible domain, and thus becoming more feasibly robust, the sensitivity region becomes larger. Our method is not sampling based so it does not require a presumed probability distribution as input and is reasonably efficient in terms of function evaluations. In addition, our method does not use gradient approximation and thus is applicable to problems that have nondifferentiable constraint functions and large parameter variations. As a demonstration, we applied our method to an engineering example, the design of a control valve actuator linkage. In this example, we show that our method finds an optimum design which is feasibly robust.

Copyright © 2005 by American Society of Mechanical Engineers
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Figure 1

Example of a sensitivity region

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Figure 2

Worst case representation of a SR

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Figure 3

Exterior hypersphere of Δp range

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Figure 4

Overall SR for multiple constraints

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Figure 5

(a) Control valve actuator linkage, with (b) dimensions

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Figure 6

Forces acting on the linkage

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Figure 7

Tradeoff frontier of the linkage problem

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Figure 8

SR and WCSR of (a) nominal optimum, and (b) WCSR optimum



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