Non-uniform rational B-splines (NURBs) demonstrate properties that are highly conductive to performing metamodeling for engineering design purposes. Previous research has resulted in the development of algorithms capable of fitting NURBs metamodels to design spaces of many input variables and performance indicies, and performing various discreet optimizations upon these metamodels. In the present research we expand upon this basis by illustrating the development of robust optimization algorithms that leverages the unique properties of NURBs metamodels. This optimization is conducted in a general fashion by considering both optimality and various robustness metrics as global or local model properties, and illustrates the tradeoffs between them using a novel graphical approach. The appeal of this approach is demonstrated by a series of test functions of one performance index and one or two performance indicies. A case study in designing composite structures of specific stiffness, of four and five design variables, follows. We proceed to discuss the future of NURBs metamodeling techniques and the potential for considering model properties besides optimality and robustness during optimization.
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ASME 2010 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
August 15–18, 2010
Montreal, Quebec, Canada
Conference Sponsors:
- Design Engineering Division and Computers in Engineering Division
ISBN:
978-0-7918-4411-3
PROCEEDINGS PAPER
Robust Optimization Exploration Using NURBs-Based Metamodeling Techniques
John Steuben,
John Steuben
Colorado School of Mines, Golden, CO
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Cameron J. Turner
Cameron J. Turner
Colorado School of Mines, Golden, CO
Search for other works by this author on:
John Steuben
Colorado School of Mines, Golden, CO
Cameron J. Turner
Colorado School of Mines, Golden, CO
Paper No:
DETC2010-28226, pp. 239-250; 12 pages
Published Online:
March 8, 2011
Citation
Steuben, J, & Turner, CJ. "Robust Optimization Exploration Using NURBs-Based Metamodeling Techniques." Proceedings of the ASME 2010 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. Volume 3: 30th Computers and Information in Engineering Conference, Parts A and B. Montreal, Quebec, Canada. August 15–18, 2010. pp. 239-250. ASME. https://doi.org/10.1115/DETC2010-28226
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