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In this paper, a simple and efficient numerical method to solve for the dynamic interaction of a high-speed train and railway structure during an earthquake is given. The motion of the train is modeled in multibody dynamics with nonlinear springs and dampers used to connect components. An efficient mechanical model for contact dynamics between the wheel and rail during an earthquake is presented. The railway structure is modeled with various finite elements. A nonlinear spring element based on a trilinear elastic-plastic material model is given for the concrete railway structure during an earthquake. A substructure model where a train runs repeatedly has been devised to obtain an approximated combined motion of the long train with many cars connected and the railway structure during an earthquake. A modal method has been developed to solve large-scale nonlinear equations of motion of the train and railway structure effectively. Based on the present method, a computer program DIASTARS for the dynamic interaction analysis of a Shinkansen train (high-speed train in Japan) and the railway structure during an earthquake has been developed. Numerical examples are demonstrated.

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An efficient computational method to solve combined motion of a Shinkansen train (bullet train in Japan) and the railway structure during an earthquake is given. The motion of the train is expressed in multibody dynamics. A simple mechanical model to express the interaction between wheel and rail during an earthquake is described. A rail element has been developed, where the motion in the plane of the cross-section of rail is expressed by multibody dynamics and the motion in the out-of-plane is expressed by FEM. A three-dimensional nonlinear spring element has been developed to express the elastic-plastic behavior in a concrete railway structure under cyclic loads during an earthquake effectively. The railway structure is modeled with various finite elements and also with rail elements. A modal method has been employed to solve large-scale nonlinear equations of motion of the train and railway structure during an earthquake effectively. Based on the present method a computer program for the simulation of a Shinkansen train running on the railway structure during an earthquake has been developed. Numerical examples are demonstrated.

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The equation of the combined motion of a Shinkansen train (bullet train), rail, and the railway structure is described, and an efficient numerical method to solve the combined response is discussed. Mechanical models for the train with as many as 16 vehicles connected and for the interaction between wheel and rail are described. A computer program for the simulation of a Shinkansen train running on the railway structure at high speed has been developed. A visualization program, VIS, for the animation of dynamic motion of the train and railway structure has been developed. Numerical examples are demonstrated.