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Modeling Design Spaces With Discontinuous Variables Using NURBs HyPerModels

[+] Author Affiliations
Cameron J. Turner

Los Alamos National Laboratory, Los Alamos, NM

Richard H. Crawford

University of Texas at Austin, Austin, TX

Paper No. DETC2006-99643, pp. 61-72; 12 pages
doi:10.1115/DETC2006-99643
From:
  • ASME 2006 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
  • Volume 3: 26th Computers and Information in Engineering Conference
  • Philadelphia, Pennsylvania, USA, September 10–13, 2006
  • Conference Sponsors: Design Engineering Division and Computers and Information in Engineering Division
  • ISBN: 0-7918-4257-8 | eISBN: 0-7918-3784-X
  • Copyright © 2006 by ASME

abstract

The vast majority of metamodeling demonstrations focuses on problems composed of continuous variables. However, important engineering design problems often include one or more discontinuous variables that require special attention. Previous work demonstrated the ability of Non-Uniform Rational B-spline HyPerModels to represent highly nonlinear functions composed of continuous variables. With minor modifications those capabilities can be extended to include functions defined by combinations of discontinuous input and output variables of different types, including discrete integer variables, feasibility variables and membership functions. Examples are used to demonstrate these modeling capabilities including applications developed from real engineering design problems such as the optimal positioning of a construction site crane and the optimal lay-up of a composite material I-beam.

Copyright © 2006 by ASME
Topics: Space , Design , Modeling

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