Non-stationary random ground vibration due to loads moving along a railway track

The pseudo-excitation method (PEM) and the precise integration algorithm are combined to compute the non-stationary random ground vibration caused by loads moving along a railway track at constant speed. The rails are modeled as a single infinite Euler beam connected to sleepers and hence to ballast...

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Bibliographic Details
Published in:Journal of sound and vibration Vol. 298; no. 1; pp. 30 - 42
Main Authors: Lu, Feng, Gao, Qiang, Lin, J.H., Williams, F.W.
Format: Journal Article
Language:English
Published: London Elsevier Ltd 22.11.2006
Elsevier
Subjects:
Applied sciences
Buildings. Public works
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Geotechnics
Physics
Soil mechanics. Rocks mechanics
Solid mechanics
Structural and continuum mechanics
Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...)
Euler equation
Numerical integration
Equation of motion
Ballast
Spectral energy distribution
Power spectral density
Non stationary condition
Frequency domain method
Cartesian coordinate
Coordinate system
Sleeper
Modeling
Soil mechanics
Beam(mechanics)
Rail
Two point boundary value problem
Moving load
Transverse isotropy
Standard deviation
Random vibration
Railway track
ISSN:0022-460X, 1095-8568
Online Access:Get full text
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Summary:The pseudo-excitation method (PEM) and the precise integration algorithm are combined to compute the non-stationary random ground vibration caused by loads moving along a railway track at constant speed. The rails are modeled as a single infinite Euler beam connected to sleepers and hence to ballast. This ballast rests on the ground, which is assumed to consist of layered transversely isotropic soil. The equations of motion of the system are established in a Cartesian coordinate system which moves with the loads. The non-stationary power spectral density and the time-dependent standard deviation can be derived conveniently by means of PEM, while the precise integration algorithm for two-point boundary value problems is applied to the solution of the equations of motion in the frequency/wavenumber domain. By virtue of the transverse isotropic property of the layered soils, the threefold iteration process in the frequency/wavenumber domain is reduced into a twofold iteration process. Hence the computational efficiency is improved considerably.
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ISSN:0022-460X
1095-8568
DOI:10.1016/j.jsv.2006.04.041