Optimization of Frame Structures with Natural Frequency Constraints

J. Ocean Eng. Technol. 2010;24(6):109-113.

Kim Bong-Ik,Lee Seong-Dae

Department of Ocean Civil Engineering Gyeongsang University,Department of Civil Engineering Halla University

고유진동수 제약조건을 고려한 프레임 구조물의 최적화

김봉익,이성대

경상대학교 해양토목공학과 해양산업연구소,한라대학교 토목공학과

Keywords: Optimization, Frame, Natural frequency, Genetic algorithms

핵심용어: 최적화, 프레임, 고유진동수, 유전자 알고리즘

Abstract

We present the minimum weight optimum design of cross sectional for frame structures subject to natural frequency. The optimum design in this paper employ discrete and continuous design variables and Genetic Algorithms. In this paper, Genetic Algorithms is used in optimization process, and be used the method of Elitism and penalty parameters in order to improved fitness in the reproduction process. For 1-Bay 2-Story frame structure, in examples, continuous and discrete design variables are used, and W-section (No.1~No.64), from AISC, discrete data are used in discrete optimization. In this case, Exhaustive search are used for finding global optimum. Continuous variables are used for 1-Bay 7-Story frame structure. Two typical frame structure optimization examples are employed to demonstrate the availability of Genetic Algorithms for solving minimum weight optimum of frame structures with fundamental and multi frequency.