期刊文献+

NEW HMM ALGORITHM FOR TOPOLOGY OPTIMIZATION 被引量:4

NEW HMM ALGORITHM FOR TOPOLOGY OPTIMIZATION
下载PDF
导出
摘要 A new hybrid MMA-MGCMMA (HMM) algorithm for solving topology optimization problems is presented. This algorithm combines the method of moving asymptotes (MMA) algorithm and the modified globally convergent version of the method of moving asymptotes (MGCMMA) algorithm in the optimization process. This algorithm preserves the advantages of both MMA and MGCMMA. The optimizer is switched from MMA to MGCMMA automatically, depending on the numerical oscillation value existing in the calculation. This algorithm can improve calculation efficiency and accelerate convergence compared with simplex MMA or MGCMMA algorithms, which is proven with an example. A new hybrid MMA-MGCMMA (HMM) algorithm for solving topology optimization problems is presented. This algorithm combines the method of moving asymptotes (MMA) algorithm and the modified globally convergent version of the method of moving asymptotes (MGCMMA) algorithm in the optimization process. This algorithm preserves the advantages of both MMA and MGCMMA. The optimizer is switched from MMA to MGCMMA automatically, depending on the numerical oscillation value existing in the calculation. This algorithm can improve calculation efficiency and accelerate convergence compared with simplex MMA or MGCMMA algorithms, which is proven with an example.
出处 《Chinese Journal of Mechanical Engineering》 SCIE EI CAS CSCD 2005年第3期346-350,共5页 中国机械工程学报(英文版)
基金 This project is supported by National Basic Research Program of China(973Program, No.2003CB716207) and National Hi-tech Research and DevelopmentProgram of China(863 Program, No.2003AA001031).
关键词 Topology optimization Method of moving asymptotes (MMA) Modified globally convergent version of MMA (MGCMMA) HMM algorithm Convergence Topology optimization Method of moving asymptotes (MMA) Modified globally convergent version of MMA (MGCMMA) HMM algorithm Convergence
  • 相关文献

参考文献14

  • 1Zhang W H, Fleury C. A modification of convex approximation methods for structural optimization. Computers & Structures, 1997, 4 (64): 89~95.
  • 2Fleury C. Sequential convex programming for structural optimization pro-blems. In: Rozvany G I N, ed. Optimization of Large Structural Systems. Kluwer Academic Publishers, 1993, (1): 567~578.
  • 3Bruyneel M, Fleury C. Composite structures optimization using sequential convex programming. Advances in Engineering Software, 2002, 33: 697~711.
  • 4Svanberg K. The method of moving asymptotes-a new method for structural optimization. International Journal for Numerical Methods in Engineering, 1987, 24: 359~373.
  • 5Svanberg K. The MMA for modeling and solving optimization problems. In: The Third World Congress on Structural and Multidisciplinary Optimization, Buffalo, New York, 1999: 1~6.
  • 6Zhang W H, Fleury C, Duysinx P. A generalized method of moving asymptotes (GMMA) including equality constraints. Structural Optimization, 1996, 12: 143~146.
  • 7Svanberg K. Some second order methods for structural optimization. In: Rozvany G I N ed. Optimization of Large Structural Systems. Kluwer Academic Publishers, 1993 (1): 578~589.
  • 8Svanberg K. A globally convergent version of MMA without linesearch. In: Rozvany G I N, Olhoff N eds. Proc. First World Congress of Structural and Multidisciplinary Optimization, Goslar, Germany, 1995(1): 9~16.
  • 9Svanberg K. A new globally convergent version of the method of moving asymptotes. Technical Report, Dept. of Mathematics, Royal Institute of Technology, Stockholm, 1999: 1~18.
  • 10Bruyneel M, Duysinx P, Fleury C. A family of MMA approximations for structural optimization. Struct. Multidisc. Optim, 2002, 24: 263~276.

同被引文献40

引证文献4

二级引证文献23

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部