On the Structural Shape Optimization through Variational Methods and Evolutionary Algorithms

被引：36
|
作者：
Fraternali, Fernando [1 ]
Marino, Andrea [1 ]
El Sayed, Tamer [2 ]
Della Cioppa, Antonio [3 ]
机构：
[1] Univ Salerno, Dept Civil Engn, I-84100 Salerno, Italy
[2] CALTECH, Div Engn & Appl Sci, Pasadena, CA 91125 USA
[3] Univ Salerno, Dept Informat & Elect Engn, Salerno, Italy
来源：
MECHANICS OF ADVANCED MATERIALS AND STRUCTURES | 2011年 / 18卷 / 04期
关键词：
shape optimization; optimal control; ground structures; compliance optimization; evolutionary algorithms; PLANE ELASTIC PROBLEMS; LUMPED STRESS METHOD; TOPOLOGY; DESIGN;
D O I：
10.1080/15376494.2010.483319
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
We employ the variational theory of optimal control problems and evolutionary algorithms to investigate the form finding of minimum compliance elastic structures. Mathematical properties of ground structure approaches are discussed with reference to arbitrary collections of structural elements. A numerical procedure based on a Breeder Genetic Algorithm is proposed for the shape optimization of discrete structural models. Several numerical applications are presented, showing the ability of the adopted search strategy in avoiding local optimal solutions. The proposed approach is validated against a parade of results available in the literature.
引用
收藏
页码：225 / 243
页数：19
相关论文
共 50 条
  • [31] A Comparative Study on Evolutionary Algorithms and Mathematical Programming Methods for Continuous Optimization
    Tian, Ye
    Chen, Haowen
    Xiang, Xiaoshu
    Jiang, Hao
    Zhang, Xingyi
    [J]. 2022 IEEE CONGRESS ON EVOLUTIONARY COMPUTATION (CEC), 2022,
  • [32] Evolutionary Multiobjective Optimization Methods for the Shape Design of Industrial Electromagnetic Devices
    Di Barba, Paolo
    [J]. IEEE TRANSACTIONS ON MAGNETICS, 2009, 45 (03) : 1436 - 1441
  • [33] Evolutionary Variational Optimization of Generative Models
    Drefs, Jakob
    Guiraud, Enrico
    Lücke, Jörg
    [J]. Journal of Machine Learning Research, 2022, 23
  • [34] Evolutionary Variational Optimization of Generative Models
    Drefs, Jakob
    Guiraud, Enrico
    Luecke, Joerg
    [J]. JOURNAL OF MACHINE LEARNING RESEARCH, 2022, 23
  • [35] Evolutionary Variational Optimization of Generative Models
    Drefs, Jakob
    Guiraud, Enrico
    Luecke, Joerg
    [J]. JOURNAL OF MACHINE LEARNING RESEARCH, 2022, 23
  • [36] Self-Optimization of Software Defined Radios Through Evolutionary Algorithms
    Shaik, Zubair
    Puschmann, Andre
    Mitschele-Thiel, Andreas
    [J]. 2016 28TH INTERNATIONAL TELETRAFFIC CONGRESS (ITC 28), VOL 1, 2016, : 53 - 59
  • [37] Experimental Optimization by Evolutionary Algorithms
    Back, Thomas
    Knowles, Joshua
    Shir, Ofer M.
    [J]. GECCO-2010 COMPANION PUBLICATION: PROCEEDINGS OF THE 12TH ANNUAL GENETIC AND EVOLUTIONARY COMPUTATION CONFERENCE, 2010, : 2897 - 2916
  • [38] Interaction of shape and structural performance: Design of structures using methods of structural optimization
    Lochner, I.
    [J]. STRUCTURES AND ARCHITECTURE: CONCEPTS: APPLICATIONS AND CHALLENGES, 2013, : 1892 - 1899
  • [39] Performance comparison of SAM and SQP methods for structural shape optimization
    Barthold, FJ
    Stander, N
    Stein, E
    [J]. STRUCTURAL OPTIMIZATION, 1996, 11 (02): : 102 - 112
  • [40] Performance of the evolutionary structural optimization-based approaches with different criteria in the shape optimization of beams
    Ghaffarianjam, H. R.
    Abolbashari, M. H.
    [J]. FINITE ELEMENTS IN ANALYSIS AND DESIGN, 2010, 46 (04) : 348 - 356
12345