Journal of the Computational Structural Engineering Institute of Korea (한국전산구조공학회논문집)

Computational Structural Engineering Institute of Korea (한국전산구조공학회)
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Topology Optimization of Element Removal Method Using Stress Density

응력량을 이용한 요소제거법의 위상최적화

  • 임오강 (부산대학교 기계공학부) ;
  • 이진식 (경기공업대학 컴퓨터응용설계계열) ;
  • 김창식 (부산대학교 기계설계공학과 대학원)
  • Published : 2003.03.01
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Abstract

Topology optimization has been evolved into a very efficient conceptual design tool and has been utilized into design engineering processes. Traditional topology optimization has been using homogenization method and optimality criteria method. homogenization method provides relationship equation between structure which includes many holes and stiffness matrix in FEM. Optimality criteria method is used to update design variables while maintaining that volume fraction is uniform. Traditional topology optimization has advantage of good convergence but has disadvantage of too much convergency time. In one way to solve this problem, element removal method using the criterion of an average stress is presented. As the result of examples, it is certified that convergency time is very reduced.

위상최적설계는 개념설계에 적합하며, 제품의 설계에서 사용되어지고 있다. 전통적인 위상최적화는 균질화법과 최적조건법을 사용해 왔다. 균질화법은 구멍으로 구성된 구조물과 강성행렬사이의 관계를 연결해주는데 사용되며, 최적조건법은 부피분율을 유지하며 설계변수의 개선에 사용되어진다. 전통적인 위상최적설계는 수렴성이 좋은 장점은 있지만 수렴시간이 많이 걸린다는 단점이 있었다. 이 문제를 해결하는 하나의 방법으로 평균 응력량을 기준으로 요소를 제거하는 요소제거법을 제시하였다. 예제에서 수렴속도가 향상됨을 알 수 있었다.

Keywords

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