Critical Velocities of a Harmonic Load Moving Uniformly Along an Elastic Layer

[+] Author and Article Information
H. A. Dieterman

Delft University of Technology, Faculty of Civil Engineering, Stevinweg 1, 2628 CN Delft, Holland

A. Metrikine

Mechanical Engineering Institute, Russian Academy of Sciences, Nizhny Novgorod, Russia

J. Appl. Mech 64(3), 596-600 (Sep 01, 1997) (5 pages) doi:10.1115/1.2788934 History: Received March 10, 1995; Revised December 27, 1996; Online October 25, 2007


The critical (resonance) velocities of a harmonically varying point load moving uniformly along an elastic layer are determined as a function of the load frequency. It is shown that resonance occurs when the velocity of the load is equal to the group velocity of the waves generated by the load. The critical depths of the layer are determined as function of the load velocity in the case the load frequency is proportional to the load velocity. This is of importance for high-speed trains where the loading frequency of the train wheel excitations is mainly determined by the ratio between the train velocity and the distance between the sleepers (ties). It is shown that the critical depths are decreasing with increasing train velocity. It is concluded that the higher the train velocity, the more important are the properties of the ballast and the border between the ballast and the substrate.

Copyright © 1997 by The American Society of Mechanical Engineers
Topics: Stress , Trains , Resonance , Wheels , Waves
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