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The computational method to solve for the dynamic interaction between a high-speed train and the railway structure including derailment during an earthquake is given. The motion of the train is expressed in multibody dynamics. Efficient mechanical models to express contact-impact behaviors between wheel and the track structure including derailment during an earthquake are given. Rail and track elements with multibody dynamics and FEM combined have been developed. A nonlinear spring element based on a trilinear elastic-plastic material model with the kinematic hardening is given for a concrete railway structure under cyclic loads during an earthquake. The motion of a railway structure is modeled with various finite elements and also with rail and track elements. A modal reduction is applied to solve the problem effectively. An exact time integration scheme has been developed that is free from the round-off error for very small time increments needed to solve the interaction between wheel and railway structure including derailment during an earthquake. Numerical examples are demonstrated.
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Tanabe et al. (2012) studied this question.
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