Progressive Quadratic Approximation Method for Effective Constructing the Second-Order Response Surface Models in the Large Scaled System Design

- Journal title : Transactions of the Korean Society of Mechanical Engineers A
- Volume 24, Issue 12, 2000, pp.3040-3052
- Publisher : The Korean Society of Mechanical Engineers
- DOI : 10.22634/KSME-A.2000.24.12.3040

Title & Authors

Progressive Quadratic Approximation Method for Effective Constructing the Second-Order Response Surface Models in the Large Scaled System Design

Hong, Gyeong-Jin; Kim, Min-Su; Choe, Dong-Hun;

Hong, Gyeong-Jin; Kim, Min-Su; Choe, Dong-Hun;

Abstract

For effective construction of second-order response surface models, an efficient quad ratic approximation method is proposed in the context of trust region model management strategy. In the proposed method, although only the linear and quadratic terms are uniquely determined using 2n+1 design points, the two-factor interaction terms are mathematically updated by normalized quasi-Newton formula. In order to show the numerical performance of the proposed approximation method, a sequential approximate optimizer is developed and solves a typical unconstrained optimization problem having 2, 6, 10, 15, 30 and 50 design variables, a gear reducer system design problem and two dynamic response optimization problems with multiple objectives, five objectives for one and two objectives for the other. Finally, their optimization results are compared with those of the CCD or the 50% over-determined D-optimal design combined with the same trust region sequential approximate optimizer. These comparisons show that the proposed method gives more efficient than others.

Keywords

Progressive Quadratic Approximation;Response Surface;Sequential Approximate Optimization;Trust Region;

Language

Korean

Cited by

1.

근사 최적설계를 위한 순차 설계영역에 관한 연구,김정진;이진식;임오강;

한국전산구조공학회논문집, 2001. vol.14. 3, pp.339-348

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