Development of a New Three-dimensional Finite Element Analysis Model of High-speed Railway Bridges

고속철도교량의 새로운 3차원 유한요소 해석모델의 개발

Song, Myung-Kwan;Han, In-Seon
송명관;한인선

  • Published : 2004.03.31

Abstract

In this study, a new three-dimensional finite element analysis model of high-speed railway bridges considering train-bridge interaction, in which various improved finite elements are used for modeling structural members, is proposed. The box-type bridge deck of a railway bridge is modeled by the NFS(Nonconforming Flat Shell) elements with 6 degrees of freedom. Track structures are idealized using the beam finite elements with the offset of beam nodes and those on Winkler foundation with two parameters. And, the vehicle model devised for a high-speed train is employed, which has an articulated bogie system. By Lagrange's equations of motion, the equations of motion of a bridge-train system can be formulated. Finally, by deriving the equations of the forces acting on a bridge considering bridge-train interaction, the complete system matrices of total bridge-train system can be constructed. As numerical examples of this study, a 2-span PC box-girder bridge is analyzed and analysis results are compared with experimental results.

본 연구에서는 교량-열차 상호작용을 고려한 고속철도교량의 새로운 3차원 유한요소 해석모델을 제안하였다. 이 해석모델에서는 고속철도교량의 각 구조부재들을 모형화 하기 위해서 개선된 다양한 유한요소들을 사용하였고, 특히, 6자유도를 갖는 NFS(nonconforming flat shell element) 유한요소를 사용하여 박스형태의 교량상판을 모형화하였다. 이매개변수를 갖는 Winkler 탄성지반상의 보유한요소를 사용하되, 보절점 오프셋(offset) 개념을 적용하여 궤도구조물을 모형화하고, 관절형 대차 시스템이 도입된 고속열차의 모형화를 위한 관절형 열차모형을 이용하였다. 라그랑쥐 운동방정식을 이용하여 교량-열차 시스템의 운동방정식을 정식화하였다. 마지막으로, 교량-열차 상호작용을 고려하여 교량 상에 작용하는 하중의 방정식을 유도함으로써, 교량-열차 전체 시스템의 완전한 시스템 행렬의 구성이 가능하다. 수치예제로서 2경간 PC 박스거더 교량을 해석하고, 기존 실험에서의 계측치와 비교하였다.

Keywords

References

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