Exact Time Integration for Dynamic Interaction of High-Speed Train and Railway Structure Including Derailment During an Earthquake

In this paper a robust and efficient computational method to solve for the dynamic interaction of a high-speed train and railway structure including derailment during an earthquake is given. The motion of the train is modeled in multibody dynamics. Mechanical models to express contact-impact behaviors between wheel and rail before derailment and between wheel and the track structure after derailment are described to solve the interaction during an earthquake. The motion of railway structure is modeled with various finite elements. Modal reduction has been developed to solve nonlinear equations of the combined motion of the train and railway structure effectively. A robust time integration using an exact time integration in the modal coordinate has been developed to avoid a round-off error appeared in the numerical time integration for a very small time increment to solve the interaction including derailment during an earthquake. Some examples are demonstrated.

[1]  Makoto Tanabe,et al.  Modal method for interaction of train and bridge , 1987 .

[2]  Masamichi Sogabe,et al.  Development of Ballasted Ladder Track Equipped with a Vehicle Guide Device , 2009 .

[3]  Makoto Tanabe,et al.  A combined multibody and finite element approach for dynamic interaction analysis of high-speed train and railway structure including post-derailment behavior during an earthquake , 2010 .

[4]  Stefano Bruni,et al.  Numerical simulation of train-track-bridge dynamic interaction , 2004 .

[5]  Makoto Tanabe,et al.  Simulation and visualization of a high-speed Shinkansen train on the railway structure , 2000 .

[6]  Shen-Haw Ju.  A simple finite element for nonlinear wheel/rail contact and separation simulations , 2014 .

[7]  K. Johnson,et al.  Three-Dimensional Elastic Bodies in Rolling Contact , 1990 .

[8]  Hajime Wakui.  Technological Innovation in Railway Structure System with Ladder Sleeper , 1998 .

[9]  Shen-Haw Ju.  Nonlinear analysis of high-speed trains moving on bridges during earthquakes , 2012 .

[10]  Xuesong Jin,et al.  A study of the derailment mechanism of a high speed train due to an earthquake , 2012 .

[11]  Makoto Tanabe,et al.  Simulation of a Shinkansen train on the railway structure during an earthquake , 2011 .

[12]  H. Netter,et al.  Demonstration of Simulation Potentials in Railway Vehicle System Dynamics Through Selected Examples. , 1997 .

[13]  Joao Pombo,et al.  A new wheel–rail contact model for railway dynamics , 2007 .

[14]  Olivier A. Bauchau,et al.  Who’s afraid of high index DAES? Scaled and augmented Lagrangian formulations in multibody dynamics , 2008 .

[15]  Stefano Bruni,et al.  Numerical Simulation of train-track-structure interaction for high speed railway systems , 2003 .

[16]  Olivier A. Bauchau,et al.  Scaling of Constraints and Augmented Lagrangian Formulations in Multibody Dynamics Simulations , 2009 .

[17]  Yong Se Kim,et al.  COMPUTERS IN ENGINEERING , 1994 .

[18]  Makoto Tanabe,et al.  A Simple and Efficient Numerical Method for Dynamic Interaction Analysis of a High-Speed Train and Railway Structure During an Earthquake , 2008 .

[19]  Rui Calçada,et al.  A direct method for analyzing the nonlinear vehicle–structure interaction , 2012 .