Journal of the Earthquake Engineering Society of Korea (한국지진공학회논문집)

Earthquake Engineering Society of Korea (한국지진공학회)
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Lumped Parameter Model of Transmitting Boundary for the Time Domain Analysis of Dam-Reservoir System

댐의 시간영역 지진응답 해석을 위한 호소의 집중변수모델

  • 김재관 (서울대학교 토목공학과) ;
  • 이진호 (서울대학교 지구환경시스템공학부) ;
  • 조정래 (한국건설기술연구원 구조시스템연구그룹 연구원)
  • Published : 2001.08.01
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Abstract

A mechanical lumped parameter model is proposed for the dynamic modeling of a semi-infinite reservoir. A semi-analytic transmitting boundary is derived for a semi-infinite 2-D reservoir of constant depth. The characteristics of the solution are examined in both frequency and time domains. Mass, damping and spring coefficients of the mechanical model are obtained to preserve the major features of the solution such as eigenfrequencies and the shapes of Bessel functions that appear as kernels in the convolution integrals. The lumped parameter model in its final form consists of two masses, a spring and two dampers for each eigenfrequency. Application examples demonstrated that the new lumped parameter model could be used for the time domain analysis of dam-reservoir systems.

반무한 호소의 동적 모델링을 위한 역학적 집중변수모델을 제안하였다. 깊이가 일정한 2차원 반무한 호소의 전달경계의 정해를 구하였다. 정해의 거동특성을 주파수 영역과 시간 영역에서 조사하였다. 고유진동수와 합성곱 적분의 핵함수인 베셀 함수의 모양 등과 같은 해의 주요 특성이 변하지 않도록 질량, 감쇠기, 스프링 계수를 구한다. 최종 집중 변수 모델은 각각의 고유값에 대해 2개의 질량, 1개의 스프링, 2개의 감쇠기로 구성된다. 적용 예제를 통하여 새로운 집중변수모델이 댐-호소계의 시간 영역 해석에 효율적으로 사용될 수 있음을 확인하였다.

Keywords

References

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