Journal of the Earthquake Engineering Society of Korea (한국지진공학회논문집)

Earthquake Engineering Society of Korea (한국지진공학회)
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3D Transmitting Boundary for Water-Saturated Transversely Isotropic Soil Strata Based on the u-w Formulation

u-w 정식화에 근거한 지하수로 포화된 가로등방성 층상지반에서의 3차원 전달경계

  • 이진호 (한국원자력연구원 연구로공학부) ;
  • 김재관 (서울대학교 건설환경공학부) ;
  • 류정수 (한국원자력연구원 연구로공학부)
  • Published : 2009.12.31
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Abstract

In this study, a 3D transmitting boundary in water-saturated transversely isotropic soil strata has been developed based on u-w formulation for application to general 3D analysis. Behavior in the far field region is expanded in the Fourier series, and dynamic stiffness for each term is obtained based on the u-w formulation. Transformation of the dynamic stiffness is presented to combine the transmitting boundary with the 3D finite elements for the near field region formulated in a 3D Cartesian coordinate system. The developed transmitting boundary is verified through a comparison of the dynamic behavior of a rigid circular foundation with the results from the existing numerical method. In addition, the developed transmitting boundary is applied to the analysis of the dynamic behavior of rigid foundations of diverse shapes, and the effects of the level of the groundwater table on the dynamic stiffness of a rigid rectangular foundation in the water-saturated transversely isotropic layered stratum are studied.

이 연구에서는 u-w 정식화에 근거하여 일반적인 3차원 문제에 적용할 수 있는 지하수로 포화된 가로등방성 층상지반에서의 3차원 전달경계를 개발하였다. 지반 원역에서의 동적거동을 Fourier 급수로 전개하고, 각 항에 대한 동적강성을 u-w 정식화에 근거하여 유도하였다. 그리고 이를 Cartesian 좌표계에서 표현된 지반 근역의 3차원 유한요소와 결합할 수 있도록 변형하여 일반적인 3차원문제에도 적용할 수 있는 방법을 개발하였다. 개발된 방법을 강체 원형 기초의 동적거동 해석에 적용하고 기존의 해석 결과와 비교하여, 이 연구에서 개발된 전달경계가 정확함을 확인하였다. 또한 다양한 형태의 강체 기초 동적거동 해석에 개발된 전달경계를 적용하였고, 지하수로 포화된 가로등방성 층상지반에서 지하수위에 따라 강체 기초 동적거동의 변화 양상을 조사하여, 이 연구에서 개발된 방법의 활용성을 입증하였다.

Keywords

References

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