Guided wave dispersion curves for a bar with an arbitrary cross-section, a rod and rail example.

By T. Hayashi, W. Song, Joseph L. Rose. Ultrasonics, 2003

595 citations recorded by the source corpus.

Theoretical and experimental issues of acquiring dispersion curves for bars of arbitrary cross-section are discussed. Since a guided wave can propagate over long distances in a structure, guided waves have great potential for being applied to the rapid non-destructive evaluation of large structures such as rails in the railroad industry. Such fundamental data as phase velocity, group velocity, and wave structure for each guided wave mode is presented for structures with complicated cross-sectional geometries as rail. Phase velocity and group velocity dispersion curves are obtained for bars with an arbitrary cross-section using a semi-analytical finite element method. Since a large number of propagating modes with close phase velocities exist, dispersion curves consisting of only dominant modes are obtained by calculating the displacement at a received point for each mode. These theoretical dispersion curves agree in characteristic parts with the experimental dispersion curves obtained by a two-dimensional Fourier transform technique.

Subfields: Geophysics, Mechanics of Materials, Ocean Engineering

View Paper: https://www.semanticscholar.org/paper/5d8cc12130aba0119e78f6f8708b3d2208f89096

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Citations in the corpus

Ultrasonic Guided Waves in Structural Health Monitoring (2004, methodology): “Guided waves are being used in rail inspection in the railroad industry as illustrated in [28-30].”
Floquet–Bloch decomposition for the computation of dispersion of two-dimensional periodic, damped mechanical systems ☆ (2011, unknown): “( Hayashi et al., 2003) derived the SAFE formulation for the waveguides of complex cross-sectional shape through virtual work principles.”
Modeling wave propagation in damped waveguides of arbitrary cross-section (2006, methodology): “More recently, SAFE methods confined to obtaining the propagative solutions were applied to wedges [5], rods and rails [6, 7].”
Simulation Methods for Guided Wave-Based Structural Health Monitoring: A Review (2015, background): “More complex waveguides, such as rods, wires and rail road track have also been investigated [19, 41, 73, 96, 156, 216].”