Mechanical modeling of helical structures accounting for translational invariance. Part 2 : Guided wave propagation under axial loads

Treyssède, Fabien; Frikha, Ahmed; Cartraud, Patrice

doi:10.1016/j.ijsolstr.2013.01.006

Cited by 28 publications

(22 citation statements)

References 30 publications

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“…Matching meshes are used inside each interfacial zones where the central wire and each helical wire can possibly come into contact. Note that no contact occurs between peripheral wires 7,8 . For the 2D cross-section FE model used in this paper, the computation starts with single point contacts between wires.…”

Section: Static Prestress State and Contact Modelingmentioning

confidence: 99%

“…In this paper, the dispersion curves will be plotted for the energy velocity as a function of frequency. The energy velocity of the mth mode can be post-processed from SAFE matrices as follows 8 :…”

Section: A Free Responsementioning

confidence: 99%

“…where t is the traction vector acting on Γ. In the present work, the expression of t must account for prestress and is given as follows 8 :…”

Section: Power Flow Of the Excited Fieldmentioning

confidence: 99%

“…With multi-wire cables, the modeling task must indeed face several difficulties, among which the helical geometry of individual wires, the contact between wires and the presence of huge tensile loads. Some recent progress have been made by subsequently accounting for these difficulties in numerical models of wave propagation [4][5][6][7][8] . These numerical models are based on a semi-analytical finite element (SAFE) method, which has been widely used for the study of straight waveguides of arbitrary shape [9][10][11][12] .…”

Section: Introductionmentioning

confidence: 99%

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Investigation of the interwire energy transfer of elastic guided waves inside prestressed cables

Treyssède¹

2016

The Journal of the Acoustical Society of America

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Elastic guided waves are of interest for the non-destructive evaluation of cables. Cables are most often multi-wire structures, and understanding wave propagation requires numerical models accounting for the helical geometry of individual wires, the interwire contact mechanisms and the effects of prestress. In this paper, a modal approach based on a so-called semi-analytical finite element method and taking advantage of a biorthogonality relation is proposed in order to calculate the forced response under excitation of a cable, multi-wired, twisted, and prestressed. The main goal of this paper is to investigate how the energy transfers from a given wire, directly excited, to the other wires in order to identify some localization of energy inside the active wire as the waves propagate along the waveguide. The power flow of the excited field is theoretically derived and an energy transfer parameter is proposed to evaluate the level of energy localization inside a given wire. Numerical results obtained for different polarizations of excitation, central and peripheral, highlight how the energy may localize, spread, or strongly change in the cross-section as waves travel along the axis. In particular, a compressional mode localized inside the central wire is found, with little dispersion and significant excitability.

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Section: Static Prestress State and Contact Modelingmentioning

confidence: 99%

Section: A Free Responsementioning

confidence: 99%

“…where t is the traction vector acting on Γ. In the present work, the expression of t must account for prestress and is given as follows 8 :…”

Section: Power Flow Of the Excited Fieldmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Investigation of the interwire energy transfer of elastic guided waves inside prestressed cables

Treyssède¹

2016

The Journal of the Acoustical Society of America

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“…In this work the isogeometric analysis (IGA) [20][21][22] is employed to describe and model the geometry of structure by NURBS basis functions for the high smoothness and the flexible parameterizations. The semi-analytical theory, is exploited to study wave propagation with translational invariance [23]. Assuming harmonic functions of axis and time, this method can reduce the two-dimensional problem to the one-dimensional one, so that only the transverse section is needed need to be meshed, to vastly reduce the computational cost.…”

Section: Introductionmentioning

confidence: 99%

Numerical investigation of Rayleigh waves in layered composite piezoelectric structures using the SIGA-PML approach

Liu

Lin

et al. 2019

Composites Part B: Engineering

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Existence of surface acoustic waves(SAW) on a piezoelectric layer with the half-infinite elastic layers structures is investigated. This structures belong to open waveguide with unbounded boundary in the transverse directions. Except for trapped modes, leaky modes have often been considered in SAW applications, which require waves of low attenuation in order to maximize the propagation distance. Therefore, we develop an another formulation of piezoelectric layer structures for the computation of trapped and leaky modes in open waveguides. This method combines the so-called semi-analytical isogeometric analysis and a perfectly matched layer technique (SIGA-PML). The comparison between semi-analytical finite element (SAFE-PML) and SIGA-PML is given, in order to show the effective and accuracy of SIGA-PML. Finally, we analyze propagation properties of Rayleigh waves and discuss the impact of the thickness of Cu films on the dispersive relationships.

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A Novel Integrated Sensor for Stress Measurement in Steel Strand Based on Elastomagnetic and Magnetostrictive Effect

Liu

2014

Lecture Notes in Mechanical Engineering

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Mechanical modeling of helical structures accounting for translational invariance. Part 2 : Guided wave propagation under axial loads

Cited by 28 publications

References 30 publications

Investigation of the interwire energy transfer of elastic guided waves inside prestressed cables

Investigation of the interwire energy transfer of elastic guided waves inside prestressed cables

Numerical investigation of Rayleigh waves in layered composite piezoelectric structures using the SIGA-PML approach

A Novel Integrated Sensor for Stress Measurement in Steel Strand Based on Elastomagnetic and Magnetostrictive Effect

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