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Identification of damage states and damge indices of single box tunnel from inelastic seismic analysis

비탄성 지진 해석을 통한 박스 터널의 손상 상태 및 손상 지수 규명

  • 박두희 (한양대학교 건설환경공학과) ;
  • 이태형 (건국대학교 토목공학과) ;
  • 김한섭 (한양대학교 건설환경공학과) ;
  • 박정선 (한양대학교 대학원 건설환경공학과)
  • Received : 2015.10.16
  • Accepted : 2016.02.04
  • Published : 2016.03.31

Abstract

In a performance-based design, the structural safety is estimated from pre-defined damage states and corresponding damage indices. Both damage states and damage indices are well defined for above-ground structures, but very limited studies have been performed on underground structures. In this study, we define the damage states and damage indices of a cut-and-cover box tunnel which is one of typical structures used in metro systems, under a seismic excitation from a series of inelastic frame analyses. Three damage states are defined in terms of the number of plastic hinges that develop within the structure. The damage index is defined as the ratio of the elastic moment to the yield moment. Through use of the proposed index, the inelastic behavior and failure mechanism of box tunnels can be simulated and predicted through elastic analysis. In addition, the damage indices are linked to free-field shear strains. Because the free-field shear strain can be easily calculated from a 1D site response analysis, the proposed method can be readily used in practice. Further studies are needed to determine the range of shear strains and associated uncertainties for various types of tunnels and site profiles. However, the inter-linked platform of damage state - damage index - shear wave velocity - shear strain provides a novel approach for estimating the inelastic response of tunnels, and can be widely used in practice for seismic designs.

성능기반 설계에서 구조물의 안정성은 손상 상태와 이를 수치화한 손상 지수에 의해 평가한다. 지상 구조물에 대해서는 이들이 비교적 명확하게 정의되어 있으나 지중 구조물에 대한 연구 수행 사례는 매우 제한적이다. 본 연구에서는 국내 지하철 시스템에 널리 사용되는 박스형 개착식 터널에 작용하는 지진하중에 의한 손상 상태와 손상 지수를 일련의 비탄성 프레임 해석을 통하여 규명하였다. 터널의 3 단계 손상 상태는 구조물에 발생한 소성 힌지의 수에 의해 정의하였다. 손상 지수는 터널 구조 부재의 탄성 모멘트와 항복 모멘트의 비로 정의하여 탄성 해석만으로도 비탄성 거동과 파괴 메커니즘의 모사가 가능하도록 하였다. 또한 손상 지수를 자유장 전단 변형률의 함수로도 제시하였다. 전단 변형률은 1 차원 지반응답해석으로 쉽게 계산할 수 있으므로 이를 이용하여 간편하게 박스형 터널의 초기 내진 안정성 평가가 가능할 것으로 판단된다. 보다 일반적이고 보편적인 적용성 확보를 위해서는 추후 포괄적인 해석을 수행하여 다양한 형태의 터널과 지반에서의 전단 변형률 분포와 불확실성에 대한 연구가 진행되어야 할 것이다. 본 연구에서 제시된 터널 내진설계를 위한 손상 상태, 손상 지수, 그리고 전단파 속도 및 전단변형률 간의 상호관계 플래트폼은 새로운 아이디어를 담고 있으며 추후 설계에 널리 활용될 수 있을 것으로 판단된다.

Keywords

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