Journal of Korean Society of Coastal and Ocean Engineers (한국해안·해양공학회논문집)

Korean Society of Coastal and Ocean Engineers (한국해안·해양공학회)
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Analysis of Failure Probability of Armor Units and Uncertainties of Design Wave Heights due to Uncertainties of Parameters in Extreme Wave Height Distributions

극치파고분포의 모수 불확실성에 따른 설계파고의 불확실성 및 피복재의 파괴확률 해석

  • Lee, Cheol-Eung (Department of Civil Engineering, Kangwon National University)
  • 이철응 (강원대학교 공과대학 토목공학과)
  • Received : 2010.03.05
  • Accepted : 2010.04.08
  • Published : 2010.04.30
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Abstract

A Monte-Carlo simulation method is proposed which can take uncertainties of scale and location parameters of Gumbel distribution into account straightforwardly in evaluating significant design wave heights with respect to return periods. The uncertainties of design wave heights may directly depend on the amounts of uncertainties of scale parameter and those distributions may be followed by Gumbel distribution. In case of that the expected values of maximum significant wave height during lifetime of structures are considered to be the design wave heights, more uncertainties are happened than in those evaluated according to return periods with encounter probability concepts. In addition, reliability analyses on the armor units are carried out to investigate into the effects of the uncertainties of design wave heights on the probability of failure. The failure probabilities of armor units to 5% damage level for 50 return periods are evaluated and compared according to the methods of taking uncertainties of design wave heights into account. It is found that the probabilities of failure may be distributed into wide ranges of bounds when the uncertainties of design wave heights are assumed to be same as those of annual maximum significant wave heights.

재현기간에 따른 설계파고 산정시 Gumbel 극치분포함수의 축척모수와 위치모수를 확률변수로 고려할 수 있는 Monte-Carlo 모의법을 제안하였다. 축척모수의 불확실성의 정도에 따라 설계파고의 불확실성의 정도가 결정되며 그 분포형태는 Gumbel 분포함수를 따른다. 또한 내용년수에 해당하는 최대 유의파고 분포특성을 이용하여 재현기간에 따른 설계파고를 산정하는 경우에 더 많은 불확실성이 포함된다. 한편 피복재의 파괴모드에 대한 신뢰성 해석을 수행하여 설계파고의 불확실성에 대한 영향을 검토하였다. 설계파고의 불확실성을 고려하는 방법에 따라 재현기간 50년 동안 5% 피해수준에 해당하는 파괴확률을 산정하여 비교하였다. 설계파고의 불확실성이 년 최대 유의파고자료의 불확실성과 같다고 가정하면 파괴확률이 넓은 범위에 걸쳐서 산정된다.

Keywords

References

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