Nonlinear Elastic Optimal Design Using Genetic Algorithm

유전자 알고리즘을 이용한 비선형 탄성 최적설계

  • 김승억 (세종대학교 토목환경공학과/건설기술연구소) ;
  • 마상수 (세종대학교 토목환경공학과/건설기술연구소)
  • Received : 2002.12.27
  • Accepted : 2003.03.24
  • Published : 2003.04.27

Abstract

The optimal design method in cooperation with a nonlinear elastic analysis method was presented. The proposed nonlinear elastic method overcame the drawback of the conventional LRFD method this approximately accounts for the nonlinear effect caused by using the moment amplification factors of and. The genetic algorithm uses a procedure based on the Darwinian notions of the survival of the fittest, where selection, crossover, and mutation operators are used to look for high performance among the sections of the database. They satisfy constraint functions and give the lightest weight to the structure. The objective function was set to the total weight of the steel structure. The constraint functions were load-carrying capacities, serviceability, and ductility requirement. Case studies for a two-dimensional frame, a three-dimensional frame, and a three-dimensional steel arch bridge were likewise presented.

본 논문에서는 유전자 알고리즘을 이용한 비선형 탄성 최적설계 방법을 제시하였다. 제안한 비선형 탄성해석은 종래 설계의 단점 즉 탄성해석 후 비선형 효과를 고려하기 위하여 $B_1$, $B_2$ 계수를 사용하는 불합리성을 극복하였다. 유전자 알고리즘은 다윈(Darwin)의 적자생존의 개념을 기본으로 선택, 교배 및 돌연변이라는 세 가지 연산을 수행함으로써 최적설계에 필요한 설계변수 즉 부재 단면을 형성하여, 제약조건을 모두 만족하는 최소 구조물 중량을 제공하는 설계변수를 선택하면서 최적설계를 수행하였다. 목적함수로는 구조물의 총중량을 사용하였으며, 제약조건식으로는 하중저항능력, 사용성 및 연성도를 사용도를 사용하여 최적설계를 수행하였다. 2차원 강뼈대 구조물, 3차원 강뼈대 구조물, 그리고 3차원 강아치교의 설계예제를 수행하였다.

Keywords

Acknowledgement

Supported by : 한국과학기술부

References

  1. 한국강구조학회 논문집 v.14 no.2 비선형 해석을 이용한 강뼈대구조물의 자동화설계 김창성;마상수;최세휴;김승억
  2. Benchmarking and verification of second-order eleastic and inelastic frame analysis programs, in SSRC TG 29 Workshop and Nomograph on Plastic Hinge Based Methods for Advanced Analysis and Design of Steel Frames AASHTO LRFD Bridge Design Specification AASHTO;AASHTO.1.;Clarke, M. J.;Bridge, R. Q.;Hancock, G. J.;Trahair, N. S.;White, D. W.(ed.);Chen, W. F.(ed.)
  3. Load and resistance factor design specification, AISC(2nd ed) AISC
  4. ASCe J. Struct. Eng. v.112 no.12 Structural serviceability: a critical appraisal and research needs Ad Hoc Committee on Serviceability https://doi.org/10.1061/(ASCE)0733-9445(1986)112:12(2646)
  5. Engineering Journal, AISC(Third Quarter) v.29 no.3 Simple equations for effective length factors Dumonteil, P.
  6. LRFD steel design using advanced analysis Chen, W.F.;Kim, S.E.
  7. Structural stability - Theory and implementation Chen, W.F.;Lui, E.M.
  8. Stability design of steel frames Chen, W.F.;Lui, E.M.
  9. Engineering Journal, AISC(Third Quarter) v.29 no.3 Simple equations for effective length factors Dumonteil, P.
  10. AISC Engineering Journal(1st Quarter) v.26 Serviceability guidelines for steel structures Ellingwood, B.
  11. Adaptation in Natural and Artificial Systems Holland, J. H.
  12. ASCE J. Struct. Eng. ASCE v.122 no.11 Practical advanced analysis for unbraced steel frame design Kim, S.E.;Chen, W.F. https://doi.org/10.1061/(ASCE)0733-9445(1996)122:11(1266)
  13. Solids and Structures v.38 Practical advanced analysis for semi-rigid space frame Kim, S.E.;Choi, S.H. https://doi.org/10.1016/S0020-7683(01)00141-X
  14. Engineering Structures v.25 3-D second-order plastic-hinge analysis accounting for local buckling Kim, S.E.;Lee, J.H.;Park, J.S. https://doi.org/10.1016/S0141-0296(02)00122-0
  15. Engng Optim v.19 Genetic algorithm in optimization problem with discrete and integer design variables Lin, C.Y.;Hajela, P. https://doi.org/10.1080/03052159208941234
  16. Struct Optim v.4 A filtered simulated annealing strategy for discrete optimization of 3D steel frameworks May, S. A.;Balling, R.J. https://doi.org/10.1007/BF01742735
  17. Comput Struct v.62 Optimal design of dynamically constrainted structures Pantelides C.P.;Tzan S.R. https://doi.org/10.1016/S0045-7949(96)00243-X
  18. ASCE, J. Struct Engng v.118 Discrete optimization of structures using genetic algorithms Rajeev, S.;Krishnammorthy, C. S. https://doi.org/10.1061/(ASCE)0733-9445(1992)118:5(1233)