General Robust Design by Semi-Second-Order Taylor Expansion
The purpose of robust design optimization is to minimize variations in design performances and therefore to make the design insensitive to uncertainties. Current robust design methods fall into two types - probabilistic robust design and worst-case (interval) robust design. The former method is used when random variables are involved. In this method, robustness is measure by standard deviations of design performances. The later method is used when uncertainties are represented by intervals. The widths of design performances are then used to measure robustness. In many engineering application, both random variables and interval variables may exist simultaneously. In this paper, a general approach to robust design optimization is proposed. The generality comes from the ability to handle both random and interval variables. To alleviate the computational burden, we employ a previously developed general robustness assessment method - semi-second-order Taylor expansion method, to evaluate the maximum and minimum standard deviations of a design performance. An efficient integration strategy of the general robustness assessment and optimization is proposed. With the integration strategy, the number of function calls can be reduced while good accuracy is maintained. A robust shaft design problem is given for demonstration. Copyright © 2008 by ASME.
X. Du, "General Robust Design by Semi-Second-Order Taylor Expansion," ASME International Mechanical Engineering Congress and Exposition, Proceedings, American Society of Mechanical Engineers (ASME), Jan 2009.
The definitive version is available at https://doi.org/10.1115/IMECE2008-66686
ASME International Mechanical Engineering Congress and Exposition, Proceedings (2009, Boston, MA)
Mechanical and Aerospace Engineering
Article - Conference proceedings
© 2009 American Society of Mechanical Engineers (ASME), All rights reserved.