On dynamics of a railway track modelled as a two dimensional periodic structure Online publication date: Tue, 18-Jun-2013
by Tomasz Krzyzynski
International Journal of Heavy Vehicle Systems (IJHVS), Vol. 6, No. 1/2/3/4, 1999
Abstract: The paper deals with the vertical dynamics of a railway track. In the system under consideration a single rail is modelled as a Timoshenko beam. The rails are coupled by means of a number of periodically spaced sleepers which are modelled as rigid bodies with two degrees-of-freedom. Assuming longitudinal symmetry of the track and load leads to a one dimensional system model. Allowing any other form of the load requires analysis of a two-dimensional model which is studied in this paper. The case of a free wave propagation is investigated in detail. The method used consists in the direct application of Floquet's theorem to a differential equation of motion of the beam. There are two forms of travelling wave propagation in the case of an unloaded two-dimensional periodic structure. The first form corresponds to the in-phase propagation of waves in the two rails. The second form represents the case of a half-wavelength phase difference between the propagating waves. The method of obtaining the solution for the system under moving harmonic forces is briefly discussed.
Existing subscribers:
Go to Inderscience Online Journals to access the Full Text of this article.
If you are not a subscriber and you just want to read the full contents of this article, buy online access here.Complimentary Subscribers, Editors or Members of the Editorial Board of the International Journal of Heavy Vehicle Systems (IJHVS):
Login with your Inderscience username and password:
Want to subscribe?
A subscription gives you complete access to all articles in the current issue, as well as to all articles in the previous three years (where applicable). See our Orders page to subscribe.
If you still need assistance, please email subs@inderscience.com
Our Blog 
Follow us on Twitter 
Visit us on Facebook