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| 고속철도 상 교량의 정밀 동적해석을 위한 개선된 수치적분법 |
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오순택, 심영우, 이동준, 윤준관 |
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| An Improved Integral Method for Dynamic Analysis of Bridge on the High Speed Railway |
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Soon-Teak Oh, Young-Woo Shim, Dong-Jun Lee, Jun-Kwan Yun |
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| Abstract |
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A dynamic analysis procedure is developed to provide a better estimation of the dynamic responses of bridge during the passage of high speed railway vehicles. Particularly, a three dimensional numerical model including the structural interaction between high speed vehicles, bridges and railway endures to analyse accurately and evaluate with in-depth parametric studies for dynamic responses of bridge running high speed railway vehicles. Three dimensional frame element is used to model the prestressed concrete box bridge(40 m simply supported) Track irregularity employed as a stationary random process from the given spectral density functions and irregularities of both sides of the track are assumed to have high correlation. The high-speed railway vehicle (KTX) is used as 38-degree of freedom system. Three displacements (vertical, lateral, and longitudinal) as well as three rotational components (pitching, rolling, and yawing) are considered in the 38-degree of freedom model. The dynamic amplification factors are evaluated by the developed procedure under various traveling conditions, such as track irregularity camber, train speed and ballast. The dynamic analysis such as Newmark and Runge-Kutta methods which are able to analyse considering the dynamic impact factors are compared and contrasted. |
| Key Words:
38-degree of freedom; Dynamic responses; High-speed railway vehicle; PSC box bridges; Runge-Kutta method |
| 요지 |
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고속철도상 교량의 동적응답을 보다 정밀하게 해석하기 위한 동적해석방법을 개발하였다. 고속으로 주행하는 동력차에 의한 교량의 동적거동을 면밀한 속도변수분석과 고속철, 교량 그리고 궤도구조물의 상호작용을 포함한 수치모델로 구성하였다. 40미터 단순지간의 PSC박스거더교를 3차원 유한 프레임요소로 모델링 하였다. 스펙트럼 밀도함수로 산출된 궤도불규칙값과 궤도간 상이한 거리차이를 고려하여 고속철 차량은(KTX) 38자유도로 구성하였다. 38자유도 모델은 3방향 변위와 상응하는 회전각을 고려하였다. 동적증폭계수는 다양한 궤도의 불규칙성, 켐버, 주행속도, 자갈도상과 같은 주행조건에 의해 결정된다. 이와 같은 동적증폭계수를 해석하기 위하여 Newmark-${eta}$ 기법과 Runge-Kutta 기법을 적용하여 비교분석하였다. |
| 핵심용어:
38자유도; 동적응답; 고속철차량; PSC박스거더교량; Rungekutta 기법 |
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