Modelling of floating-slab tracks with continuous slabs under oscillating moving loads

This paper discusses modelling of floating-slab tracks on rigid foundations. The model consists of an upper Euler–Bernoulli beam to account for both the rails and a lower Euler–Bernoulli beam to account for the slab. There are two continuous resilient layers in the model: one to account for railpads between the rails and the slab and one to account for slab-bearings underneath the slab. The Fourier transformation method is used to calculate displacements of such a track under an oscillating moving load. These results are used to calculate the cut-on frequencies and critical velocity of the track. The work in this paper also demonstrates some basic concepts in the context of vibration of infinite systems including dispersion curves, critical velocities, load-velocity lines and coupling of systems in the wavenumber-frequency domain. The paper offers a complete treatment of the issues important to the analysis of a double-beam system not elsewhere available in the published literature.

[1]  P. M. Mathews.  Vibrations of a beam on elastic foundation II , 1959 .

[2]  K. Popp,et al.  On the Generalization of Mathews' Problem of the Vibrations of a Beam on Elastic Foundation , 1989 .

[3]  P. M. Mathews.  Vibrations of a beam on elastic foundation , 1958 .

[4]  A. B. Wood,et al.  A textbook of sound , 1930 .

[5]  Ladislav Frýba.  History of Winkler Foundation , 1995 .

[6]  A. Love.  A treatise on the mathematical theory of elasticity , 1892 .

[7]  Fangsen Cui,et al.  The effectiveness of floating slab track system — Part I. Receptance methods , 2000 .

[8]  Seong-Min Kim,et al.  Dynamic response of a beam on a frequency- independent damped elastic foundation to moving load , 2003 .

[9]  P. Grootenhuis,et al.  Floating track slab isolation for railways , 1977 .

[10]  B. Karnopp,et al.  VIBRATION OF A DOUBLE-BEAM SYSTEM , 2000 .

[11]  P. G. Kessel,et al.  Resonances Excited in an Elastically Connected Double‐Beam System by a Cyclic Moving Load , 1966 .

[12]  L Fryba,et al.  VIBRATION OF SOLIDS AND STRUCTURES UNDER MOVING LOADS (3RD EDITION) , 1999 .

[13]  S. Chonan,et al.  Moving Harmonic Load on an Elastically Supported Timoshenko Beam , 1978 .

[14]  A. David Wunsch.  Complex variables with applications , 1983 .

[15]  Jim Nelson,et al.  RECENT DEVELOPMENTS IN GROUND-BORNE NOISE AND VIBRATION CONTROL , 1996 .

[16]  A. Mallik,et al.  Steady-state response of an elastically supported infinite beam to a moving load , 2006 .

[17]  Yung-Hsiang Chen,et al.  RESONANT CURVES OF AN ELEVATED RAILWAY TO HARMONIC MOVING LOADS , 2004 .

[18]  G P Wilson,et al.  Control of ground-borne noise and vibration , 1983 .

[19]  H. Benaroya,et al.  DYNAMICS OF TRANSVERSELY VIBRATING BEAMS USING FOUR ENGINEERING THEORIES , 1999 .

[20]  S. D. Stearns,et al.  Digital Signal Analysis , 1976, IEEE Transactions on Systems, Man, and Cybernetics.

[21]  J. Dörr.  Der unendliche, federnd gebettete Balken unter dem Einflu\ einer gleichförmig bewegten Last , 1943 .

[22]  Dean G. Duffy,et al.  The Response of an Infinite Railroad Track to a Moving, Vibrating Mass , 1990 .

[23]  K. Graff.  Wave Motion in Elastic Solids , 1975 .