1999
DOI: 10.1002/(sici)1097-0207(19990920)46:2<297::aid-nme679>3.0.co;2-c
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Structural optimization by gradient-based neural networks

Abstract: SUMMARYIn this paper a neurocomputing strategy is presented which combines data processing capabilities of neural networks and numerical structural optimization. In this strategy, an improved counterpropagation neural network is used. Two arti"cial neural networks are trained, one for the constraints and the other for the gradients of the constraints and structural optimization is accomplished by using these nets. All required parameters such as weight matrices in the neural networks or the gradient computatio… Show more

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Cited by 97 publications
(13 citation statements)
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“…1), which are approximation of objective or constraint function, and the solution of structural optimization problems. Recently, various ANN-OM methods have been proposed [2,3]. Nevertheless, all these approaches are based on the general concept described above (Fig.…”
Section: Basic Concept Of Ann-ommentioning
confidence: 99%
See 1 more Smart Citation
“…1), which are approximation of objective or constraint function, and the solution of structural optimization problems. Recently, various ANN-OM methods have been proposed [2,3]. Nevertheless, all these approaches are based on the general concept described above (Fig.…”
Section: Basic Concept Of Ann-ommentioning
confidence: 99%
“…Among these methods, the artificial neural network (ANN) is considered to be one of the most widely used methods in the structural optimization. Over the past decade, contributions from numerous studies have brought ANN to fruition as an optimization method [1][2][3][4][5][6][7][8][9][10][11]. Consequently, ANN has become a basic tool for structural optimization.…”
mentioning
confidence: 99%
“…In the last decade neural networks are extensively employed in structural mechanics, Refs [4][5][6][7][8][9]. In the following, some basic concepts of neural networks is summarized, however, the interested reader may also refer to excellent textbooks on this subject [13][14][15].…”
Section: Bp and Rbf Neural Networkmentioning
confidence: 99%
“…Neural networks provide a powerful tool for approximate analysis and design of space structures. Such networks are trained using backpropagation [4][5][6] and counterpropagation networks [7][8][9].…”
Section: Introductionmentioning
confidence: 99%
“…ANN had a widespread application in the field of civil engineering since long. It was applied in the development of the backpropagation neural net and the improved counter-propagation neural net for the analysis and design of large scale space structures [17] and also for the presentation of a neurocomputing strategy combining neural networks and numerical structural optimization [18]. Again ANN was used to train efficient backpropagation neural networks for design of double-layer grids [19], to train neural networks that predict M-ф diagrams for the type of connection considered and for saddle-like connection with sufficient accuracy [20,21].…”
Section: Introductionmentioning
confidence: 99%