연쇄붕괴의 동적거동을 고려한 새로운 등가정적해석 기법

New Equivalent Static Analysis Method of Dynamic Behavior during Progressive Collapse

  • 발행 : 2007.06.30

초록

본 논문에서는 한두 부재의 순간적 결손에 따른 동적 거동을 정적해석을 통하여 합리적이고 효율적으로 해석할 수 있는 등가정적 연쇄붕괴 해석기법을 제시한다. 제시된 기법은 부재 결손에 따른 구조물 강성 변화 및 순간적 결손에 따른 동적거동 확대 효과를 등가의 하중으로 치환한 강성등가하중을 초기 구조물에 적용하여 해석하는 방법으로서 기둥을 하나씩 제거해 가며 반복해석을 수행해야 하는 연쇄붕괴해석 특성에 매우 효율적이면서도 신뢰성이 높은 장점을 갖는다. 제시한 강성등가하중에 의한 해석결과를 시간이력해석결과 및 GSA에 의한 해석결과와 비교한 결과, 휨모멘트, 축력, 및 수직변위 등의 측면에서 GSA에 의한 해석결과에 비해 시간이력해석결과에 상당히 근접하는 결과를 나타냈다. 이를 통해 강성등가 하중에 의한 해석기법이 GSA에 의한 정적해석방법을 대체하는 새로운 정적해석기법으로서 효용성이 있음을 확인하였다.

In this paper a new equivalent static analysis method of dynamic behavior during progressive collapse is presented. The proposed analysis method uses the equivalent nodal load for the element stiffness which represents the dynamic behavior influence caused by the deletion of elements during progressive collapse analysis. The proposed analysis method improves the efficiency of progressive collapse analysis haying the iterative characteristic because the inverse of the structural stiffness matrix is roused in the reanalysis. By comparing the results obtained by this analysis method with those of GSA code analysis and time history analysis, it is shown that the results obtained by this analysis method more closely approach to those of time history analysis than by GSA code analysis.

키워드

참고문헌

  1. 김치경(2006) 강성등가하중의 정의와 응용, 한국전산구조공학회 논문집, 19(3), pp.303-312
  2. American Society of Civil Engineers (ASCE) Minimum Design Loads for Buildings and Other Structures. ASCE 7-89
  3. Corley, W.G.(2002) Applicability of Seismic Design in Mitigating Progressive Collapse. National Workshop on Prevention of Progressive Collapse in Rosemont. III, Multihazard Mitigation council of the National Institute of Building Sciences. Washington. D.C
  4. Griffiths, J.E. Pugsley, A., Saunders, O.(1968) Report of the Inquiry into the Collapse of Flats at Ronan Point. Canning Town, Her Majesty's Stationary Office, London, England
  5. GSA(2003) Progressive Collapse Analysis and Design Guidelines for New Federal Office Buildings and Major Modernization Projects. The U.S. General Services Administration. Washington. D.C
  6. Kaewkulchai, G., Williamson, E.B.(2003) Dynamic Behavior of Planar Frames during Progressive Collapse. 16th ASCE Engineering Mechanics Conference
  7. Kaewkulchai, G., Williamson, E.B.(2004) Beam Element Formulation and Solution Procedure for Dynamic Progressive Collapse Analysis, Computers and Structures, 82. pp.639-651 https://doi.org/10.1016/j.compstruc.2003.12.001
  8. Marjanishvili, S.M.(2004) Progressive Analysis Procedure for Progressive Collapse. Journal of Performance of Constructed Facilities. ASCE. 18(2). pp.79-85 https://doi.org/10.1061/(ASCE)0887-3828(2004)18:2(79)
  9. Powell, G. (2005) Progressive Collapse: Case Studies Using Nonlinear Analysis. Proceedings of the 2005 Structures Congress and the 2005 Forensic Engineering Symposium. New York