A numerical model for ground-borne vibrations from underground railway traffic based on a periodic finite element–boundary element formulation

• Published in: Journal of sound and vibration Vol. 293; no. 3; pp. 645 - 666
• Main Authors: Degrande, G., Clouteau, D., Othman, R., Arnst, M., Chebli, H., Klein, R., Chatterjee, P., Janssens, B.
• Format: Journal Article Conference Proceeding Web Resource
• Language: English
• Published: London Elsevier Ltd 01.01.2006; Elsevier; Academic Press
• Subjects: Acoustics; Engineering Sciences; Engineering, computing & technology; Exact sciences and technology; Fundamental areas of phenomenology (including applications); Ingénierie mécanique; Ingénierie, informatique & technologie; Materials; Mathematical analysis; Mathematical models; Mechanical engineering; Mechanics; Metros; Noise: its effects and control; Physics; Railroad tunnels; Sand; Soil (material); Solid mechanics; Structural and continuum mechanics; Subways; Three dimensional; Vibration; Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...); Clay; Sand; Free vibration; Cast iron; Periodicity; Rail vehicle; Inversion; Frequency domain method; Masonry; Modeling; Soil mechanics; Cast metal; Railway tunnel; Floquet method; Finite element method; Noise pollution; Lining; Rail transportation; Sinusoidal excitation; Domain decomposition; Boundary element method; Dynamic load
• ISSN: 0022-460X; 1095-8568; 1095-8568
• DOI: 10.1016/j.jsv.2005.12.023

A numerical model is presented to predict vibrations in the free field from excitation due to metro trains in tunnels. The three-dimensional dynamic tunnel–soil interaction problem is solved with a subdomain formulation, using a finite element formulation for the tunnel and a boundary element method for the soil. The periodicity of the geometry in the longitudinal direction of the tunnel is exploited using the Floquet transform, limiting the discretization to a single-bounded reference cell. The responses of two different types of tunnel due to a harmonic load on the tunnel invert are compared, both in the frequency–wavenumber and spatial domains. The first tunnel is a shallow cut-and-cover masonry tunnel on the Paris metro network, embedded in layers of sand, while the second tunnel is a deep bored tunnel of London Underground, with a cast iron lining and embedded in the London clay.