Multi-Level Optimization of Framed Structures Using Automatic Differentiation

자동미분을 이용한 뼈대구조의 다단계 최적설계

  • 조효남 (한양대학교 토목.환경공학과) ;
  • 정지승 ((주) 삼보기술단) ;
  • 민대홍 (한양대학교 토목.환경공학과) ;
  • 이광민 (한양대학교 토목.환경공학과)
  • Received : 2000.06.21
  • Published : 2000.10.27

Abstract

An improved multi-level (IML) optimization algorithm using automatic differentiation (AD) of framed structures is proposed in this paper. For the efficiency of the proposed algorithm, multi-level optimization techniques using a decomposition method that separates both system-level and element-level optimizations, that utilizes and an artificial constraint deletion technique, are incorporated in the algorithm. And also to save the numerical efforts, an efficient reanalysis technique through approximated structural responses such as moments and frequencies with respect to intermediate variables is proposed in the paper. Sensitivity analysis of dynamic structural response is executed by AD that is a powerful technique for computing complex or implicit derivatives accurately and efficiently with minimal human effort. The efficiency and robustness of the IML algorithm, compared with a plain multi-level (PML) algorithm, is successfully demonstrated in the numerical examples.

Acknowledgement

Supported by : BK21

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