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A Study on Regular Triangular Mesh Modeling of Network Dome using Differential Evolution Algorithm

차분진화알고리즘을 이용한 네트워크 돔의 정삼각형 메쉬 모델링에 관한 연구

  • 이승재 (한국기술교육대 건축공학부) ;
  • 손수덕 (한국기술교육대 건축공학부)
  • Received : 2013.09.05
  • Accepted : 2014.04.04
  • Published : 2014.05.30

Abstract

This paper aimed at modeling a triangular mesh for network dome by using differential evolution algorithm. For this purpose, an optimization process to find a regular triangular mesh on the curved surface was proposed and a program for this was developed. The objective function consisted of the standard deviations of the area and the boundary length of each triangle, and the design variables were regulated by the upper and lower boundary conditions which were calculated depending on the nodal connectivity. Plate model and triangular network dome model, which initially had consisted of irregular triangular meshes, were selected as target examples. In the case of the plate model its final mesh corresponded with the regular triangular mesh exactly. In network dome model, its result was very approached to the minimum standard deviation of the area and theboundary length of each triangle, too. Additionally, the more rise-span ratio of the dome decreased, the more the standard deviation of the mesh modeling decreased.

Keywords

Acknowledgement

Supported by : 국토해양부

References

  1. Hwang K. J. and Knippers J., Stability of single layered grid shells with various connectors, Proceeding of the ICSA 2010 Guimaraes, Portugal, p.p.163-164, 2010
  2. Shon S. D., Kim S. D., Kang M. M., Lee S. G. and Song H. S., Nonlinear instability analysis of framed space structures with semi-rigid joints, Proceeding of the IASS symposium 2002, Warsaw, p.p.422-427, 2002
  3. Kato S., Mutoh I. and Shomura M., Effect in joint rigidity on buckling strength of single layer lattice dome, Bulletin of the International Association for Shell and Spatial Structures, 35(115), p.p.101-109, 1994
  4. Lopez A., Puente I. and Serna M., Numerical model and ex perimental tests on single-later latticed domes with semi-rigid joints, Computers and Structures, 85(7-8), p.p.360-374, 2007 https://doi.org/10.1016/j.compstruc.2006.11.025
  5. Yamada S., Matsumoto Y., Sakamoto A. and Croll J. G. A., Design estimation method of buckling load and the associat ed mode for single layer lattice dome roof with square plan, Proceeding of the IABSE-IASS 2011 symposium, Londo n, 72, 2011
  6. 손수덕, 김승덕, 이승재, 김종식, 돔형 스페이스 프레임 구조물의 하중모드에 따른 분기점 특성에 관한 연구, 한국공간구조학회지, 11(1), p.p.121-130, 2011
  7. 이승재, 손수덕, 초기 불완전성을 고려한 공간 트러스의 분기 좌굴과라이즈-스팬 비에 따른 임계하중 특성, 한국강구조학회 논문집, 24(3), p.p.337-348, 2012
  8. 손수덕, 이승재, 돔형 스페이스 프레임의 부재강성변화에 따른 임계좌굴하중과 유효좌굴길이계수, 한국공간구조학회지, 13(1), p.p.87-96, 2013
  9. Ramaswamy G.S., Eekhout M and Suresh G.R, Steel spave frames, Thomas Telford, 2002
  10. 이상진, 배정은, 지오데직 돔의 구조최적화에 대한 연구, 한국공간구조학회논문집, 8(4), p.p.47-55, 2008
  11. 정환목, 권영환, 최영식, 삼각형 네트워크 단층 강접 래티스 돔의 좌굴특성에 관한 연구, 대한건축학회논문집, 9(2), p.p.185-194, 1993
  12. 김종성, 손수덕, 박공형 철골건물의 GA와 동적계획법을 이용한 최적설계에 관한 연구, 대한건축학회논문집 구조계, 17(11), p.p.51-58, 2001
  13. 손수덕, 이승재, 최재형, 뜀-좌굴을 고려한 공간 트러스의 최 적구조설계에 관한 연구, 한국공간구조학회지, 12(2), p.p.89- 98, 2012
  14. 손수덕, 이승재, 실변수 유전자 알고리즘을 이용한사인형 주름 웨브 보의 최적구조설계, 한국강구조학회 논문집, 23(5), p.p.581-593, 23(5), 2011
  15. 손수덕, 유미나, 이승재, 최소중량설계에 의한 사인형 주름웨 브보의 단면 특성, 대한건축학회논문집 구조계, 28(10), p.p.73-80, 2010
  16. 김광섭, 조현곤, 이재응, Differential Evolution 기법을 이용한 Neyman-Scott Rectangular Pulse 모형의 매개변수 추정, 한국방재학회논문집, 12(4), p.p.187-194, 2012
  17. Storn R., Differential evolution research-trends and open questions, Studies in Computational Intelligence, 12(4), p.p.187-194, 2008
  18. Das S., Suganthan P.N., Differential evolution: A survey of the state-of-the-art, Evolutionary computation, IEEE, 15 (1), p.p.4-31, 2011 https://doi.org/10.1109/TEVC.2010.2059031