NEW DEVELOPMENTS IN STRUCTURAL OPTIMIZATION USING ADAPTIVE MESH REFINEMENT AND MULTIPOINT APPROXIMATIONS

作者: FRED VAN KEULEN , VASSILI V. TOROPOV

DOI: 10.1080/03052159708940994

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摘要: Combining Shape Optimization (SO) with Adaptive Mesh Refinement (AMR) potentially offers a higher accuracy and computational efficiency, especially if the applied target error for AMR is reduced in course of optimization process. The disadvantage that approach rate convergence corresponding processes can be significantly lower as compared to which apply fixed AMR. In present paper so-called Multipoint Approximation Method (MAM) used basis SO conjunction Several techniques improvement rates are presented investigated. Firstly, alternative algorithms determining approximation functions using weighted least squares method focus on weights depend discretization errors. Secondly, different strategies moving resizing search sub-regions space design variables presented. proposed methods il...

参考文章(10)
V. V. Toropov, Multipoint approximation method in optimization problems with expensive function values Proceedings of the 4th international symposium on Systems analysis and simulation. pp. 207- 212 ,(1992)
Raphael T. Haftka, Manohar P. Kamat, Zafer Gürdal, Elements of Structural Optimization ,(1984)
G.N. Vanderplaats, Effective use of numerical optimization in structural design Finite Elements in Analysis and Design. ,vol. 6, pp. 97- 112 ,(1989) , 10.1016/0168-874X(89)90038-3
Norman Richard Draper, Harry Smith, Applied Regression Analysis ,(1966)
V. V. Toropov, A. A. Filatov, A. A. Polynkin, Multiparameter structural optimization using FEM and multipoint explicit approximations Structural Optimization. ,vol. 6, pp. 7- 14 ,(1993) , 10.1007/BF01743169
Raphael T. Haftka, Joel A. Nachlas, Layne T. Watson, Thomas Rizzo, Rajendra Desai, Two-point constraint approximation in structural optimization Applied Mechanics and Engineering. ,vol. 60, pp. 289- 301 ,(1987) , 10.1016/0045-7825(87)90136-8
Krister Svanberg, The method of moving asymptotes—a new method for structural optimization International Journal for Numerical Methods in Engineering. ,vol. 24, pp. 359- 373 ,(1987) , 10.1002/NME.1620240207
G. M. Fadel, M. F. Riley, J. M. Barthelemy, Two point exponential approximation method for structural optimization Structural Optimization. ,vol. 2, pp. 117- 124 ,(1990) , 10.1007/BF01745459
Fred va, Vassili Toropov, Andrej Polynkin, Optimization of geometrically nonlinear shell structures using multi-meshing and adaptivity 5th Symposium on Multidisciplinary Analysis and Optimization. ,(1994) , 10.2514/6.1994-4361
FRED VAN KEULEN, ANDREY A. POLYNKINE, VASSILI V. TOROPOV, SHAPE OPTIMIZATION WITH ADAPTIVE MESH REFINEMENT: TARGET ERROR SELECTION STRATEGIES Engineering Optimization. ,vol. 28, pp. 95- 125 ,(1997) , 10.1080/03052159708941128