An efficient strategy for the robust optimization of large scale nonlinear design problems

Balaji Ramakrishnan, S. S. Rao

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

The application of the concept of robust design, based on Taguchi's design philosophy, in formulating and solving large, computationally intensive, nonlinear optimization problems whose analysis is based on a linear system of equations is investigated. The design problem is formulated using a robust optimization procedure that utilizes the expected value of Taguchi's loss function as the objective. An efficient solution scheme that uses approximate expressions for the gradients and employs a fast reanalysis technique for their evaluation is introduced. This approach is validated by solving a simple minimum cost welded beam design problem; where the dimensions of the weldment and the beam are found without exceeding the limitations stated on the shear stress in the weld, normal stress in the beam, buckling load on the beam and tip deflection of the beam. The method is then used to obtain the optimal shape of an engine connecting rod, that minimizes its weight when subject to geometric constraints on the shape variables, and behavioral constraints such as stress and buckling loads. The results obtained by solving the conventional and robust formulations of this problem, and the considerable savings in time that result by virtue of using the fast reanalysis technique are presented. The methodology presented in this work is expected to be useful in reducing the computational effort in obtaining insensitive designs of large structures and machines.

Original languageEnglish (US)
Title of host publication20th Design Automation Conference
Subtitle of host publicationVolume 2 - Robust Design Applications; Decomposition and Design Optimization; Optimization Tools and Applications
PublisherAmerican Society of Mechanical Engineers (ASME)
Pages25-35
Number of pages11
ISBN (Electronic)9780791897683
DOIs
StatePublished - 1994
Externally publishedYes
EventASME 1994 Design Technical Conferences, DETC 1994, collocated with the ASME 1994 International Computers in Engineering Conference and Exhibition and the ASME 1994 8th Annual Database Symposium - Minneapolis, United States
Duration: Sep 11 1994Sep 14 1994

Publication series

NameProceedings of the ASME Design Engineering Technical Conference
VolumePart F167892-7

Conference

ConferenceASME 1994 Design Technical Conferences, DETC 1994, collocated with the ASME 1994 International Computers in Engineering Conference and Exhibition and the ASME 1994 8th Annual Database Symposium
Country/TerritoryUnited States
CityMinneapolis
Period9/11/949/14/94

ASJC Scopus subject areas

  • Mechanical Engineering
  • Computer Graphics and Computer-Aided Design
  • Computer Science Applications
  • Modeling and Simulation

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