Journal of Korean Society of Steel Construction (한국강구조학회 논문집)

Korean Society of Steel Construction (한국강구조학회)
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Discrete Optimum Design of Sinusoidal Corrugated Web Girder

사인형 주름웨브보의 이산화 최적구조설계

  • Shon, Su Deok (School of Architectural Eng., Korea University of Technology and Education) ;
  • Yoo, Mi Na (School of Architectural Eng., Korea University of Technology and Education) ;
  • Lee, Seung Jae (School of Architectural Eng., Korea University of Technology and Education)
  • 손수덕 (한국기술교육대학교, 건축공학부) ;
  • 유미나 (한국기술교육대학교 대학원, 건축공학과) ;
  • 이승재 (한국기술교육대학교, 건축공학부)
  • Received : 2012.09.07
  • Accepted : 2012.12.12
  • Published : 2012.12.27
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Abstract

The use of sinusoidal corrugated web girder for the box-type girders and gable steel main frames has recently been increasing very much. The reasons are that the thin web of the girder affords a significant weight reduction compared with rolled beam and welded built-up girder, and that corrugation prevents the buckling failure of the web. Improvements of the automatic fabrication process makes mass production of the corrugated web and unit possible, and applications of this girder have been extended considerably. Thus, the research for the optimum design processer considering the production data is needed practically. For doing this research, we develope the discrete optimum structural design program in consideration of production list data for the research, and the program apply to the single girder under the uniform load and the concentrated load as numerical example. We consider objective function as minimum weight of the girder, and use slenderness ratio, stress of flanges and corrugated web, and the girder deflection as the constraint functions. And also the Genetic Algorithms is adopted to search the global minimum point by using the production list as a discrete design variable. Finally, to verify the optimality of the design, we conduct a comparison of the results of the discrete optimum design with those of the continuous one, and also analyze the characteristics of the optimum cross-section.

박스형 거더나 박공형 철골조 프레임에서 주름웨브보의 사용은 최근 많이 늘어가고 있다. 그 이유는 얇은 주름웨브보를 사용함으로서 압연형강이나 용접을 이용한 조립보에 비해 중량을 크게 줄일 수 있으며, 박판의 좌굴은 주름이 막아줄 수 있기 때문이다. 자동생산기술의 향상으로 인해 주름웨브를 가진 단위 부재를 양산할 수 있게 되어 적용분야가 확장되고 있으며, 주름웨브보의 부재 제원을 고려한 최적설계의 구현이 필요하게 된다. 이를 위해 본 논문에서는 주름웨브보의 생산부재 데이터를 고려한 이산화 최적구조설계 프로그램을 개발하여 집중하중과 등분포하중을 받는 주름웨브 단순보에 대해 적용하였다. 최소중량을 목적함수로, 세장비, 응력 및 처짐을 제약조건으로 채택하고, 전역최소값을 탐색하기 위해서 유전자 알고리즘을 채택하였으며, 생산부재의 번호를 불연속설계변수로 이용하였다. 최종적으로 해석설계의 검증을 위해서 이산화 최적설계 결과를 연속일 때의 결과와 비교하였으며, 최적단면 특성에 대해 분석하였다.

Keywords

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