Propagation of longitudinal Pochhammer – Chree waves in cylindrical piles

Ilyashenko, A. V.; Кузнецов, С. В.

doi:10.1088/1757-899x/365/4/042014

Cited by 1 publication

(1 citation statement)

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“…When the high‐strength steel wire is with a free‐free boundary condition, and its ratio of diameter to length is less than 0.4, the Pochhammer–Chree dispersion equation (originally used to analyze dispersion characteristics of guided wave propagation in a free round rod) is also applicable to calculating the group velocity of the longitudinal guided wave propagated in the high‐strength steel wire. Therefore, when the infinite‐length solid steel wire is at the free boundary, the fluctuation of the longitudinal guided wave satisfies the Pochhammer–Chree dispersion equation 22,25–27 :

\frac{2 α}{r_{1}} ((), β^{2} + k^{2}) J_{1} ((), α r_{1}) J_{1} ((), β r_{1}) - {(β^{2} - k^{2})}^{2} J_{0} ((), α r_{1}) J_{1} ((), β r_{1}) - 4 k^{2} italicαβ J_{1} ((), α r_{1}) J_{1} ((), β r_{1}) = 0 .

In formula 1, r 1 is the diameter of the free round steel waveguide rod, k is the wavenumber of the wave, α is the component of the longitudinal wavenumber in the radial direction, β is the component of the transverse wavenumber in the radial direction, J 1 is the first‐order Bessel function of the first order, and J 0 is the first‐order Bessel function of the zero order.…”

Section: Methodsmentioning

confidence: 99%

Wire breaking localization of parallel steel wire bundle using acoustic emission tests and finite element analysis

Liu

Xia

et al. 2020

Struct Control Health Monit

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Summary The precise localization of cable damage is a major issue in bridge engineering. The acoustic emission (AE) method has been applied to detect defects for cable structures in bridges. In this paper, an AE localization method is proposed to localize both lateral and longitudinal positions of defects in a parallel steel wire bundle composed of seven steel wires. The proposed method is verified numerically and experimentally. Tension failure test of the parallel steel wire bundle composed of seven wires was carried out, and the precise localization of defects was realized by through modal AE techniques and the analysis of the characteristics of AE signal. A Multiphysics model based on COMSOL was established to facilitate the visualization of stimulated AE propagated in the parallel wire bundle. The propagation mechanism of AE signal was studied, and the feasibility of localization method was verified.

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