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Vehicle System Dynamics
International Journal of Vehicle Mechanics and Mobility
Volume 15, 1986 - Issue sup1
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PERIODIC, BIPERIODIC AND CHAOTIC DYNAMICAL BEHAVIOUR OF RAILWAY VEHICLES

Christian Kaas-Petersen Laboratory of Applied Mathematical Physics The Technical University of Denmark, Building 303, Lyngby, DK-2800, Denmark
&
Hans True Laboratory of Applied Mathematical Physics The Technical University of Denmark, Building 303, Lyngby, DK-2800, Denmark
Pages 208-221 | Published online: 27 Jul 2007
 
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SUMMARY

We examine first a simplified model of a railway car on bogies running with constant speed - we describe stationary, periodic, and biperiodic motion. Next we examine the model of Cooperrider's complex bogie running with constant speed - we briefly describe the chaotic motion that develops at high speed. In both cases the dynamical equations governing the dynamical motion of the model consist of a set of 14 first order nonlinear ordinary differential equations. The dynamical motions are determined numerically. Several phenomena that are known from nonlinear dynamics are found in our models and they are discussed in the paper.

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