Journal of Korean Society of Steel Construction (한국강구조학회 논문집)

Korean Society of Steel Construction (한국강구조학회)
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A Study on the Techniques of Configuration Optimization

형상 최적설계를 위한 최적화 기법에 관한 연구

  • 최병한 (전북대학교 부설 공학연구원 공업기술연구센타)
  • Received : 2004.10.15
  • Accepted : 2004.12.03
  • Published : 2004.12.27
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Abstract

This study describes an efficient and facile method for configuration optimum design of structures. One of the ways to achieve numerical shape representation and the selection of design variables is using the design element concept. Using this technique, the number of design variables could be drastically reduced. Isoparametric mapping was utilized to automatically generate the finite element mesh during the optimization process, and this made it possible to easily calculate the derivatives of the coordinates of generated finite element nodes w.r.t. the design variables. For the structural analysis, finite element analysis was adopted in the optimization procedure, and two different techniques(the deterministic method, a modified method of feasible direction; and the stochastic method, a genetic algorithms) were applied to obtain the minimum volumes and section areas for an efficient configuration optimization procedure. Futhermore, spline interpolation was introduced to present a realistic optimum configuration that meet the manufacturing requirements. According to the results of several numerical examples(steel structures), the two techniques suggested in this study simplified the process of configuration optimum design of structures, and yielded improved objective function values with a robust convergence rate. This study's applicability and capability have therefore been demonstrated.

본 연구는 구조물의 형상 최적화를 효율적이면서 보다 용이하게 수행할 수 있는 기법을 제안하고자 하였다. 구조물의 형상 표현과 설계변수 선택을 위해 설계요소 개념을 활용하여 설계변수 수를 과감하게 줄일 수 있었고, 등매개변수 사상기법을 이용하여 최적화 과정 중 형상의 변화에 따른 유한요소망을 자동생성 하였으며 효율적인 최적화 과정 수행을 위하여 결정론적 최적화 기법(개선된 허용방향법)과 스토캐스틱 최적화 기법(유전 알고리즘)을 사용하여 그 결과와 효율성을 비교하였다. 최적화 과정 중 구조해석은 유한요소법을 이용하며 구조물의 부피와 단면적 등을 목적함수로 하여 형상 최적화를 수행하였다. 또한 제작성과 시공성을 위한 최종형상 제시를 위하여 최적형상에 완화곡선 처리를 시도하였다. 이상의 연구를 강구조물을 대상으로 한 몇 가지 수치 예에 적용한 결과 설계과정을 보다 단순화시켰으며, 두 가지 기법 모두 최적해에 수렴함으로써 목적함수 값을 효과적으로 개선시킬 수 있었다. 따라서 본 연구는 그 타당성과 적용성이 있다고 판명된다.

Keywords

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