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논문

하모니 서치 알고리즘과 고유진동수 제약조건에 의한 트러스의 단면과 형상 최적설계

Optimum Design of Truss on Sizing and Shape with Natural Frequency Constraints and Harmony Search Algorithm

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초록

We present the optimum design for the cross‐sectional(sizing) and shape optimization of truss structures with natural frequency constraints. The optimum design method used in this paper employs continuous design variables and the Harmony Search Algorithm(HSA). HSA is a meta‐heuristic search method for global optimization problems. In this paper, HSA uses the method of random number selection in an update process, along with penalty parameters, to construct the initial harmony memory in order to improve the fitness in the initial and update processes. In examples, 10-bar and 72-bar trusses are optimized for sizing, and 37-bar bridge type truss and 52-bar(like dome) for sizing and shape. Four typical truss optimization examples are employed to demonstrate the availability of HSA for finding the minimum weight optimum truss with multiple natural frequency constraints.

Abstract

We present the optimum design for the cross‐sectional(sizing) and shape optimization of truss structures with natural frequency constraints. The optimum design method used in this paper employs continuous design variables and the Harmony Search Algorithm(HSA). HSA is a meta‐heuristic search method for global optimization problems. In this paper, HSA uses the method of random number selection in an update process, along with penalty parameters, to construct the initial harmony memory in order to improve the fitness in the initial and update processes. In examples, 10-bar and 72-bar trusses are optimized for sizing, and 37-bar bridge type truss and 52-bar(like dome) for sizing and shape. Four typical truss optimization examples are employed to demonstrate the availability of HSA for finding the minimum weight optimum truss with multiple natural frequency constraints.

참고문헌 (10)

  1. Erdal, F., "Optimum Design of Cellular Beams using harmony Search and Partical Warm Optimizer", Journal of Constructional Steel Research, 67, pp.237~247 (2011)
  2. Gomes, H. M., "Truss Optimization with Dynamic Constraints using Partical Swarm Algorithm", Expert System with Application, 38, pp.957~968 (2011)
  3. Kaveh, A., "Truss Optimization with Natural Frequency Constraints using Hybridized CSS-BBBC Algorithm with Trap Recognition Capability", Computer & Structures, 102-103, pp.14~27 (2012)
  4. 김봉익, "유전자 알고리즘을 사용한 강구조물의 최적설계", 한국강구조학회 논문집, 24(6), pp.701~710 (2012), 한국강구조학회
  5. 이강석, "A new structural optimization method based on the harmony search algorithm", COMPUTERS STRUCTURES, 82(9-10), pp.781~798 (2004), PERGAMON-ELSEVIER SCIENCE LTD
  6. Lingyun, W., "Truss Optimization on Shape and Sizing with Frequency Constraints Based on Genetic Algorithm", Computer Mechanics, 35, pp.361~368 (2005)
  7. 박춘욱, "개선된 퍼지-유전자알고리즘에 의한 비선형거동을 고려한 평면 및 입체 강구조물의 통합 단면, 형상 이산화 최적설계", 한국강구조학회 논문집, 17(4), pp.385~394 (2005), 한국강구조학회
  8. Saka, M. P., "Optimum Design of Steel Sway Frames to BS5950 using Harmony Search Algorithm", Journal of Constructional Steel Research, 65, pp.36~43 (2009)
  9. Sedaghati, R., "Structural Optimization with Frequency Constraints Using the Finite Element Force Method", AIAA, 40(2), pp.382~388 (2002)
  10. Wang, D., "Truss Optimization on Shape and Sizing with Frequency Constraints", AIAA Journal, 42(3), pp.622~630 (2004)

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