한국지반공학회논문집 (Journal of the Korean Geotechnical Society)

  • 제29권9호
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  • Pages.71-80
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  • 2013
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  • 1229-2427(pISSN)
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  • 2288-646X(eISSN)
한국지반공학회 (Korean Geotechnical Society)
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다중 파괴모드를 고려한 사면의 시스템 신뢰도해석

System Reliability Analysis of Slope Considering Multiple Failure Modes

  • 조성은 (한경대학교 토목안전환경공학과)
  • Cho, Sung-Eun (Department of Civil, Safety, and Environmental Engrg., Hankyong National Univ.)
  • 투고 : 2013.07.05
  • 심사 : 2013.09.02
  • 발행 : 2013.09.30
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초록

본 연구에서는 다중 파괴모드를 고려한 사면의 신뢰도해석에 대하여 연구한다. 해석은 크게 두 부분으로 나뉜다. 첫 번째, Der Kiureghian과 Dakessian이 제안한 barrier method를 사용하여 시스템 신뢰도에 크게 영향을 미치는 중요 파괴모드를 연속적으로 탐색하여 찾아낸다. 둘째로, 찾아낸 중요 파괴모드들과 이에 해당하는 설계점들을 바탕으로 사면의 파괴확률을 계산한다. 다중 파괴모드를 갖는 사면의 신뢰도해석에서 파괴확률은 다중점 일차신뢰도법, Ditlevsen의 구간해법 및 몬테카를로 시뮬레이션 등을 이용하여 평가할 수 있다. 본 연구에서는 예제 해석을 통하여 이들 방법들의 비교연구를 수행하였다. 해석결과는 토사사면에 많은 수의 잠재적인 파괴면이 존재할 수 있지만, 사면의 시스템 파괴확률은 소수의 중요 파괴면에 의해 지배된다는 것을 보여준다. 따라서 토사사면의 시스템 신뢰도해석을 위해서 가장 중요한 단계는 모든 중요 파괴모드를 효율적인 방법에 의해서 탐색하여 결정하는 것이다.

This work studies the reliability analysis of a slope that considers multiple failure modes. The analysis consists of two parts. First, significant failure modes that contribute most to system reliability are determined. The so-called barrier method proposed by Der Kiureghian and Dakessian to identify significant failure modes successively is employed. Second, the failure probability for the slope is estimated on the basis of the identified significant failure modes and corresponding design points. For reliability problems entailing multiple design points, failure probability can be estimated by the multi-point first-order reliability method (FORM), Ditlevsen's bounds method, and Monte Carlo simulation. In this paper, a comparative study between these methods has been made through example problems. Analysis results showed that while a soil slope may have a large number of potential slip surfaces, its system failure probability is usually governed by a few significant slip surfaces. Therefore, the most important step in the system reliability analysis for a soil slope is to identify all the significant failure modes in an efficient way.

키워드

참고문헌

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