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A Simplified Analysis Method for Determining an Optimized Initial Shape of Cable-Stayed Bridges

사장교의 최적 초기형상 및 무응력길이 결정을 위한 간략해석법

  • 정명락 (성균관대학교 건설환경시스템공학과) ;
  • 박세웅 (DM엔지니어링) ;
  • 민동주 (성균관대학교 건설환경시스템공학과) ;
  • 김문영 (성균관대학교 건설환경시스템공학과)
  • Received : 2015.07.27
  • Accepted : 2016.11.07
  • Published : 2016.12.01

Abstract

A simplified analysis method is first proposed in order to determine an optimized initial shape of cable-stayed bridges including all unstrained element lengths without using complicated nonlinear FE analysis. The unstrained-length based FE method is then presented using the unstrained lengths by the simplified analysis. To demonstrate validity and accuracy of the proposed method, Incheon bridge model having the fabrication camber is constructed and initial shaping analysis is performed using the presented method and commercial finite element analysis program, MIDAS. Resultantly it is shown that the initial solutions by the proposed algorithm are well optimized and in good agreement with those by MIDAS except for axial displacements of the main member.

고정하중을 받는 사장교의 최적 초기형상 결정을 위한 간략해석법을 제시한다. 이 방법은 비선형 유한요소 해석을 수행하지 않고 최적의 초기형상을 구현할 수 있으며, 최소의 휨모멘트를 발생시키는 무응력길이를 제공한다. 초기형상 해석 후 여타의 하중조합 또는 시공단계해석을 수행하기 위해 무응력길이를 변화시키지 않고 Newton-Raphson 반복법을 수행하는 무응력길이법을 이용한다. 수치예제는 제작캠버를 포함한 인천대교 2차원 모델이며, 제시된 해석법과 상용 유한요소해석 프로그램 MIDAS의 초기형상 해석결과를 비교 분석한다. 주로 케이블의 장력과 주부재의 휨모멘트 및 변위를 관찰하였으며, 두 해석결과는 축방향 변위를 제외하고 모든 결과 값이 서로 잘 일치함을 확인할 수 있었다.

Keywords

References

  1. Irvine, H. M. (1981). Cable structures.
  2. Jayaraman, H. B. and Knudson, W. C. (1981). "A curved element for the analysis of cable structures." Comput Struct, Vol. 14, pp. 325-333. https://doi.org/10.1016/0045-7949(81)90016-X
  3. Jung, M. R., Min, D. J. and Kim, M. Y. (2013). "Nonlinear analysis methods based on the unstrained element length for determining initial shaping of suspension bridges under dead loads." Comput Struct, Vol. 128, pp. 272-285. https://doi.org/10.1016/j.compstruc.2013.06.014
  4. Kim, C. H. and Lee, H. S. (2005). "Analyses of initial equilibrium states of cable-stayed bridges by optimization." Journal of the Korean Society of Civil Engineers, Vol. 25, No. 6, pp. 1071-1084 (in Korean).
  5. Kim, D. Y., Jo, K. S. and Kim, M. Y. (2012). "Comparison study of an improved initial force and TCUD method for initial shape analysis of cable-stayed bridges." Journal of the Computational Structural Engineering Institute of Korea, Vol. 25, No. 1, pp. 101-108 (in Korean). https://doi.org/10.7734/COSEIK.2012.25.1.101
  6. Kim, J. C. (1999). Determination of initial equilibrium state and construction geometry, Ph.D. Seoul National University (in Korean).
  7. Kim, K. S. and Lee, H. S. (2001). "Analysis of target configurations under dead loads for cable-supported bridges." Comput Struct, Vol. 79, pp. 2681-2692. https://doi.org/10.1016/S0045-7949(01)00120-1
  8. Kim, M. Y., Kyung, Y. S. and Lee, J. S. (2003). "An improved method for initial shape analysis of cable-stayed bridges." Journal of Korean Society of Steel Construction, Vol. 15, No. 2, pp. 175-185.
  9. Park, S. W., Jung, M. R. and Kim, M. Y. (2016). "Construction stage analysis of cable-stayed bridges using the unstrained element length method." Journal of the Korean Society of Civil Engineers, Vol. 36, No. 6, pp. 991-998 (in Korean). https://doi.org/10.12652/Ksce.2016.36.6.0991
  10. Wang, P. H., Tseng, T. C. and Yang, C. G. (1993). "Initial shape of cable-stayed bridges." Comput Struct, Vol. 47, pp. 111-123. https://doi.org/10.1016/0045-7949(93)90284-K