Wave Motion

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Wang Chen - One of the best experts on this subject based on the ideXlab platform.

  • transverse Wave propagation in viscoelastic single walled carbon nanotubes with small scale and surface effects
    Journal of Applied Physics, 2015
    Co-Authors: Miao Pang, Yeqi Zhang, Wang Chen
    Abstract:

    The general governing equation of transverse Wave Motion in a viscoelastic single-walled carbon nanotube (SWCNT) adhered by surface material is formulated on the basis of the nonlocal elasticity theory and the Kelvin model. The properties of transverse Wave propagation in the SWCNT are investigated. The explicit expressions are derived for the frequency and phase velocity of the Wave Motion. The small scale and surface effects and the influences of structural damping on the properties of Wave propagation are elucidated. It is concluded that the frequency and phase velocity of transverse Wave propagation in the viscoelastic SWCNT are related to the small scale, surface elasticity, residual surface tension, and structural damping. The small scale and surface effects and the impact of structural damping on the properties of transverse Wave propagation are dependent upon the Wave number and tube diameter.

Ling Ling - One of the best experts on this subject based on the ideXlab platform.

  • Wave propagation in viscoelastic single walled carbon nanotubes with surface effect under magnetic field based on nonlocal strain gradient theory
    Physica E-low-dimensional Systems & Nanostructures, 2016
    Co-Authors: Ling Ling
    Abstract:

    Abstract The governing equation of Wave Motion of viscoelastic SWCNTs (single-walled carbon nanotubes) with surface effect under magnetic field is formulated on the basis of the nonlocal strain gradient theory. Based on the formulated equation of Wave Motion, the closed-form dispersion relation between the Wave frequency (or phase velocity) and the Wave number is derived. It is found that the size-dependent effects on the phase velocity may be ignored at low Wave numbers, however, is significant at high Wave numbers. Phase velocity can increase by decreasing damping or increasing the intensity of magnetic field. The damping ratio considering surface effect is larger than that without considering surface effect. Damping ratio can increase by increasing damping, increasing Wave number, or decreasing the intensity of magnetic field.

Miao Pang - One of the best experts on this subject based on the ideXlab platform.

  • Wave propagation in fluid conveying nanotubes under multi physical fields based on non local higher order strain gradient model
    Micro & Nano Letters, 2019
    Co-Authors: Miao Pang, Peng Wang, Yongqiang Zhang
    Abstract:

    This work studies the Wave propagation in embedded single-walled carbon nanotubes (CNTs) conveying fluid and placed in multi-physical fields based on the non-local higher-order strain gradient model with surface effect considered. The nanotubes are modelled as Timoshenko beams. Utilising Hamilton's principle, the governing equations of Wave Motion in CNTs are derived. The solution for the phase velocity of Wave Motion is obtained, which can not only consider the stiffness softening effect but also reflect the stiffness enhancement effect of scale parameter observed by experiments. The numerical simulations are conducted to compare the results on the basis of different order non-local strain gradient models. It is shown that the behaviours of Wave propagation based on the non-local higher-order strain gradient models are quite different from those based on the classical continuum model. In addition, the scale and surface effects and influences of various external factors including inner flow, surrounding medium, temperature field, and magnetic field on the Wave dispersion are investigated.

  • transverse Wave propagation in viscoelastic single walled carbon nanotubes with small scale and surface effects
    Journal of Applied Physics, 2015
    Co-Authors: Miao Pang, Yeqi Zhang, Wang Chen
    Abstract:

    The general governing equation of transverse Wave Motion in a viscoelastic single-walled carbon nanotube (SWCNT) adhered by surface material is formulated on the basis of the nonlocal elasticity theory and the Kelvin model. The properties of transverse Wave propagation in the SWCNT are investigated. The explicit expressions are derived for the frequency and phase velocity of the Wave Motion. The small scale and surface effects and the influences of structural damping on the properties of Wave propagation are elucidated. It is concluded that the frequency and phase velocity of transverse Wave propagation in the viscoelastic SWCNT are related to the small scale, surface elasticity, residual surface tension, and structural damping. The small scale and surface effects and the impact of structural damping on the properties of transverse Wave propagation are dependent upon the Wave number and tube diameter.

Yeqi Zhang - One of the best experts on this subject based on the ideXlab platform.

  • transverse Wave propagation in viscoelastic single walled carbon nanotubes with small scale and surface effects
    Journal of Applied Physics, 2015
    Co-Authors: Miao Pang, Yeqi Zhang, Wang Chen
    Abstract:

    The general governing equation of transverse Wave Motion in a viscoelastic single-walled carbon nanotube (SWCNT) adhered by surface material is formulated on the basis of the nonlocal elasticity theory and the Kelvin model. The properties of transverse Wave propagation in the SWCNT are investigated. The explicit expressions are derived for the frequency and phase velocity of the Wave Motion. The small scale and surface effects and the influences of structural damping on the properties of Wave propagation are elucidated. It is concluded that the frequency and phase velocity of transverse Wave propagation in the viscoelastic SWCNT are related to the small scale, surface elasticity, residual surface tension, and structural damping. The small scale and surface effects and the impact of structural damping on the properties of transverse Wave propagation are dependent upon the Wave number and tube diameter.

J D Achenbach - One of the best experts on this subject based on the ideXlab platform.

  • validity of the reciprocity approach for determination of surface Wave Motion
    Ultrasonics, 2013
    Co-Authors: Haidang Phan, Younho Cho, J D Achenbach
    Abstract:

    Expressions for the displacements and the stresses for surface Wave Motion generated by a time-harmonic line load applied to the surface of an isotropic linearly elastic half-space are determined in a simple manner by the use of the reciprocity theorem. It is shown that their amplitudes show perfect agreement with the corresponding amplitudes obtained in the conventional manner by applying the Fourier transform technique. As an application of the reciprocity approach, the surface Wave Motion generated by uniform pressure over a cylindrical cavity located on the surface of a half-space has been determined. The analytical results have been verified by comparison with boundary element method (BEM) results. For a prescribed frequency and depth of the cavity, the analytical and BEM results are graphically displayed versus the surface length of the cavity, and show excellent agreement.

  • combination of a virtual Wave and the reciprocity theorem to analyse surface Wave generation on a transversely isotropic solid
    Philosophical Magazine, 2005
    Co-Authors: J D Achenbach
    Abstract:

    At some distance from a high-rate source in an elastic half-space, the dominant Wave Motion at the free surface is a Rayleigh surface Wave. The calculation of surface Waves generated by a concentrated force in a half-space is a basic problem in elastodynamics. By straightforward manipulations, the result can be used to obtain surface Waves for other kinds of Wave-generating body-force arrangements. For example, appropriate combinations of double-forces (or dipoles) can be used to represent the surface loading due to laser irradiation, or due to acoustic emission from the opening of a sub-surface crack or from sliding over a fault surface. The surface Wave Motion is usually obtained by the application of integral transform techniques and the subsequent extraction of the surface Waves as the contributions from poles in the integral for the inverse transform. In this paper, we use a much simpler approach based on the elastodynamic reciprocity theorem. We consider a transversely isotropic solid whose axis of ...

  • Wave Motion in an isotropic elastic layer generated by a time harmonic point load of arbitrary direction
    Journal of the Acoustical Society of America, 1999
    Co-Authors: J D Achenbach
    Abstract:

    Wave Motion in an infinite elastic layer due to the application of a time-harmonic point load of arbitrary direction, applied either internally or on one of the faces of the layer, is expressed as a sum of four expansions in Lamb-Wave modes and horizontally polarized Wave modes. The point load is decomposed into components normal and parallel to the plate faces. Each of these cases is decomposed into a symmetric and an antisymmetric loading case, relative to the mid-plane of the layer. The displacement solutions for the symmetric and antisymmetric cases are expressed as expansions of symmetric and antisymmetric modes, respectively. Appropriate orthogonality relations are derived from reciprocity considerations. Elastodynamic reciprocity is also used in conjunction with dummy Wave modes to obtain the coefficients in the Wave-mode expansion.