유전자 알고리즘(GA)을 이용한 구조물의 동적해석 및 최적화

Structural Dynamic Optimization Using a Genetic Algorithm(GA)

  • 발행 : 2000.05.01

초록

In many dynamic structural optimization problems, the goal is to reduce the total weight of the structure without causing the resonance. Up to now, gradient informations(i.e., design sensitivity) have been used to achieve the goal. For some class of dynamic problems, especially coalescent eigenvalue Problems with multiobjective optimization, the design sensitivity analysis is too much complicated mathematically and numerically. Therefore, this article proposes a new technique fur structural dynamic modification using a mode modification method with Genetic Algorithm(GA). In GA formulation, fitness is defined based on penalty function approach. Design variables are iteratively improved by using genetic algorithm. Two numerical examples are shown, (ⅰ) a cantilevered plate, and (ⅱ) H-shaped structure. The results demonstrate that the proposed method is highly efficient.

키워드

참고문헌

  1. Masaaki Okuma, Masaki Nanpe, Park Sok-chu and Akio Nagamatsu, 'Technique of Structural Dynamic Optimization,' 日本耭械學會論文集(C編), 54卷, 504號, pp. 1753-1761, 1988
  2. 지태한, 박영필, '판구조물의 동적구조변경에 관한 연구,' 대한기계학회 춘계학술대회논문집(A), pp. 307-312, 1996
  3. 김형중, 박윤식, '부분구조물의 모드합성을 이용한 구조물 모드 매개변수의 민감도 해석,' 한국소음진동공학회 97'춘계학술대회논문집, pp. 184-191, 1986
  4. E.J. Haug, 'Design Sensitivity Analysis of Structural Systems,' Academic Press,Inc., 1986
  5. 長松昭男, 'モ-ド解析,' 培風館, 1985
  6. R.L.Fox and M.P. Kapoor, 'Rates of Change of Eigenvalues and Eigenvectors,' AIAA., Vol. 6, No. 12, pp. 2426-2429, 1968
  7. F.Y.Cheng, Fellow, ASCE, DAN Li, 'Multi-objective Optimization Design with Pareto Genetic Algorithm,' J. of Structural Eng., Vol. 123, No. 9, pp. 1252-1261, 1997 https://doi.org/10.1061/(ASCE)0733-9445(1997)123:9(1252)
  8. D.E. Goldberg, 'Genetic Algorithm in Search Optimization and Machine Learning,' Addison Wesley Publishing Company, Inc., pp. 1-88, 1989