Computing solution spaces for robust design

Markus Zimmermann, Johannes Edler von Hoessle

Research output: Contribution to journalArticlepeer-review

74 Scopus citations

Abstract

In some engineering problems, tolerance to variation of design parameters is essential. In an early development phase of a distributed development process for example, the system performance should reach the design goal even under large variations of uncertain component properties. The tolerance to parameter variations may be measured by the size of a solution space on which the system is guaranteed to deliver the required performance. In order to decouple dimensions, the solution space is described as multi-dimensional box with permissible intervals for each design parameter. An algorithm is presented that computes solution spaces for arbitrary non-linear high-dimensional systems. Starting from a design point with required performance, a candidate box is iteratively evaluated and modified. The evaluation is performed by Monte Carlo sampling and Bayesian statistics. The modification algorithm drives the evolution toward increasing box size. Robustness and reliability with respect to the required performance can be assessed without knowledge of the particular kind of uncertainty. Sensitivity to design parameters can be quantified by the widths of solution intervals. Designs failing to meet the performance requirement can be improved by adjusting parameter values to lie within the solution space. The approach is motivated and illustrated by automotive crash design problems.

Original languageEnglish
Pages (from-to)290-307
Number of pages18
JournalInternational Journal for Numerical Methods in Engineering
Volume94
Issue number3
DOIs
StatePublished - 20 Apr 2013
Externally publishedYes

Keywords

  • High-dimensional systems
  • Optimization
  • Robust design
  • Solution space
  • Structures
  • Uncertainty

Fingerprint

Dive into the research topics of 'Computing solution spaces for robust design'. Together they form a unique fingerprint.

Cite this