# Graduate School in Nonlinear Science

### Sponsored by the Danish Research Academy

**
MIDIT OFD CATS
Modelling, Nonlinear Dynamics Optics and Fluid Dynamics Chaos and Turbulence Studies
and Irreversible Thermodynamics Risø National Laboratory Niels Bohr Institute and
Technical University of Denmark Building 128 Department of Chemistry
Building 321 P.O. Box 49 University of Copenhagen
DK-2800 Lyngby DK-4000 Roskilde DK-2100 Copenhagen Ø
Denmark Denmark Denmark
**

**RAILWAY VEHICLE-TRACK SYSTEM DYNAMICS**

Lecture series

by** Professor Wanming Zhai**

Train & Track Research Institute

The Southwest Jiaotong University

Chengdu, Sichuan 610031

P.R. China

e-mail: wmzhai@center2.swjtu.edu.cn

**Tuesday, August 11, 1998 at 15:00**

- Theory and Models of Vehicle-Track Coupling Dynamics

A) Basic idea of the vehicle-track coupling dynamics

B) The vertical models of vehicle-track coupling systems

C) The lateral model of vehicle-track coupling systems

D) The excitation models of wheel/rail systems

**Thursday, August 13, 1998 at 15:00**

- Numerical Simulation of Vehicle-Track Coupling System Dynamics
and Its Verification

A) New fast time integration methods for large-scale system dynamics

B) The VICT program for simulating vertical interactions between vehicles
and tracks

C) Experimental verification of the coupling dynamic model

**Monday, August 17, 1998 at 15:00**

- Simulated Results of Vehicle-Track Coupling Dynamics

A) Dynamic responses of the vehicle-track coupling systems

B) Parametric study of the wheel/rail dynamic systems

**Wednesday, August 19, 1998 at 15:00**

- Applications of the Theory (I and II):

I Dynamic interaction between the track and a heavy haul freight car

II Dynamic interaction between vehicles and turnouts

**Monday, August 24, 1998 at 15:00**

- Applications of the Theory (III)

III Dynamic Interaction between the Track and a High Speed Train

A) Characteristics of wheel/rail impact at high speed operation

B) Comparison of the vertical dynamic performance of a high speed

articulated and non-articulated train

C) Design of the rational values of unsprung masses of high speed vehicles

**Wednesday, August 26, 1998 at 15:00**

- Modelling of Pantograph-Catenary System Dynamics

A) Dynamic models of pantograph and catenary systems

B) Comparison of the dynamic performance of different catenaries

C) Effect of locomotive vibrations on pantograph-catenary system dynamics

**at MIDIT, Department of Mathematical Modelling, The Technical University of
Denmark, Building 305, Room 027.**