Optimum Design of Plane Steel Frames Using Second-Order Inelastic Analysis and a Genetic Algorithm

2차 비탄성해석과 유전자 알고리듬을 이용한 평면 강골조 구조물의 최적설계

Yun, Young-Mook;Kim, Byung-Hun
윤영묵;김병헌

  • Published : 2004.01.31

Abstract

A GA-based optimum design algorithm incorporated with a second-order inelastic analysis method are presented. In the second-order inelastic analysis method, the geometric nonlinearity is considered by using the stability functions of beam-column members, and the material nonlinearity is considered by using the gradual stiffness degradation model that includes the effects of residual stresses, moment redistribution by the occurrence of plastic hinges, and geometric imperfections of members. In the genetic algorithm, tournament selection method and micro-GAs are employed. The objective function is expressed as the total weight of steel frames. The requirements of load-carrying capacity, serviceability, ductility, and construction workability are used as the constraint conditions. The appropriateness of the proposed method is verified by conducting the optimum design of several plane steel frames.

본 논문에서는 2차 비탄성해석과 유전자 알고리듬을 이용한 평면 강골조 구조물의 이산최적설계 방법을 제시하였다. 2차 비탄성해석에서는 강골조 구조물의 기하학적 비선형성을 고려하기 위해 보-기둥 요소의 안정함수를 사용하였으며, 재료적 비선형을 고려하기 위해 잔류응력, 소성힌지, 그리고 기하학적 불완전성 등에 의한 점진적인 강성감소모델을 사용하였다. 유전자 알고리듬에서는 토너먼트 선택방법과 마이크로 유전자 알고리즘을 사용하였다. 목적함수로는 구조물의 총중량을 사용하였으며, 제약조건으로는 하중-저항능력, 사용성, 연성도, 그리고 시공성에 관한 기준을 고려하였다. 여러 평면 강골조 구조물의 최적설계를 수행하여 본 연구에서 제시한 방법의 적합성을 검증하였다.

Keywords

References

  1. 유전자 알고리즘과 인공 신경망을 이용한 강뼈대구조물의 이산화 최적설계 김기홍
  2. 한국강구조학회 논문집 v.11 no.2 유전자 알고리즘을 이용한 비선형 탄성최적설계 김승억;마상수
  3. Journal of Structural Engineering, ASCE v.112 no.12 Structural Serviceability: A Critical Appraisal and Research Needs Ad Hoc Committee on Serviceability
  4. Journal of the Institute of Structural Engineers v.59 Simplified Second-Order Inelastic Analysis for Steel Frames Al-Mashary, F.;Chen, W.F.
  5. Load and Resistance Factor Design Specifications for Structural Steel Buildings AISC-LRFD
  6. Load and Resistance Factor Design Specifications for Structural Steel Buildings AISC-LRFD
  7. Load and Resistance Factor Design Specifications for Structural Steel Buildings AISC-LRFD
  8. Journal of Structural Engineering, ASCE v.120 no.8 Spread of Plasticity: Quasi-Plastic-Hinge Approach Attala, M.N.;Deierlein, G.G.;McGuire, W.
  9. Journal of Structural Engineering, ASCE v.124 no.5 Optimized Design of Two-dimensional Structures Using A Genetic Algorithm Camp, C.;Pezeshk, S.;Cao, G.
  10. Structural Stability-Theory and Implementation Chen, W.F.;Lui, E.M.
  11. Plastic Design and Second-Order Analysis of Steel Frames Chen, W.F.;Sohal, I.S.
  12. Plastic Zone Analysis of Frames, Advanced Analysis of Steel Frames: Theory, Software, and Applications Clarke, M.J.;Chen, W.F.(ed.);Toma, S.(ed.)
  13. Annual Technical Session Preceedings, Structural Stability Research Council A Discrete Model for Gradual Plastification and Nonlinear Connection Response in Three-dimensional Framed Structures Deirelein, G.G.;Zhao, Y.;McGuire, W.
  14. Engineering Journal v.26 no.1 Serviceability Guidelines for Steel Structures Ellingwood, B.
  15. Inelastic Behavior of Multistory Steel Frames, Structural Engineering Report No. 83 El-Zanaty, M.;Murray, D.;Bjorhovde, R.
  16. Optimized Design of Fully and Partially Restrained Steel Frames Using Advanced Analysis and Objected-Oriented Evolutionary Computation, Research Report No. MUE-001-2001 Foley, C.M.;Schinler, D.;Voss, M.S.
  17. Guide to Stability Design Criteria for Metal Structures Galambos, T.V.(ed.)
  18. Computer-Aided Gas Pipeline Operation using Genetic Algorithm and Rule Learning Goldberg, D.E
  19. Journal of Structural Engineering, ASCE v.113 no.7 Second-Order Elastic Analysis for Frame Design Goto, Y.;Chen, W.F.
  20. Adaptation in Natural and Artificial Systems Holland, J.H.
  21. Micro-genetic Algorithms for Stationary and Non-stationary Function Optimization, The International Society for Optical Engineering, Intelligent Control and Adaptive Systems Krishnakumar, K.
  22. Practical Advanced Analysis for Steel Frame design Kim, S.E.
  23. Journal of Structural Engineering, ASCE v.120 Practical Second-Order Inelastic Analysis of Semi-Rigid Frames King, W.S.;Chen, W.F.
  24. Journal of Structural Engineering, ASCE v.119 no.11 Second-Order Refined Plastic Hinge Analysis for Frame Design: Part I Liew, J.Y.R.;White, D.W.;Chen, W.F.
  25. Journal of Structural Engineering, ASCE v.119 no.11 Second-Order Refined Plastic Hinge Analysis for Frame Design: Part II Liew, J.Y.R.;White, D.W.;Chen, W.F.
  26. Optimization and Engineering v.19 Genetic Algorithm in Optimization with Discrete and Integer Design Variables Lin, C.Y.;Hajela, P.
  27. Structural Optimization v.4 A Filtered Simulated Annealing Strategy for Discrete Optimization of 3D Steel Frameworks May, S.A.;Balling, R.J.
  28. Nonlinear Static Analysis of Three-dimensional Steel Frames, Report No. 82-6 Orbison, J.G.
  29. Computers and Strutures v.62 Optimal Design of Dynamically Constrainted Structures Pantelides C.P.;Tzan S.R.
  30. Journal of Structural Engineering, ASCE v.126 no.3 Design of Nonlinear Framed Structures Using Genetic Optimization Pezeshk, S.;Camp, C.V.;Chen, D.
  31. Journal of Structural Engineering, ASCE v.123 no.3 Genetic Algorithms-Based Methodologies for Design Optimization Trusses Rajeev, S.;Krishnamoorthy, C.S.
  32. Computers and Structures v.79 no.19 Optimum Design of Nonlinear Steel Frames with Semi-rigid Connections Using A Genetic Algorithm Saka, M.P.;Kameshki, E.S.
  33. Design of Partially Restrained Steel Frames using Advanced Analysis and Objected-oriented Evolutionary Algorithm Schinler, D.
  34. Stahlbau v.10 Calibrating Frames Vogel, U.
  35. Material and Geometric Nonlinear Analysis of Local Planar Behavior in Steel Frames using Iterative Computer Graphics White, D.W.
  36. Journal of Constructional Steel Research v.24 no.2 Plastic-Hinge Methods for Advanced Analysis of Steel Frames White, D.W.
  37. Journal of Structural Engineering, ASCE v.118 Inelastic Limit States Design: Part I, Planar Frame Studies Ziemian, R.D.;McGuire, W.;Deierlien, G.G.
  38. Journal of Structural Engineering, ASCE v.118 Inelastic Limit States Design: Part II, Three-dimensional Frame Study Ziemian, R.D.;McGuire, W.;Deierlien, G.G.