Torsional wave dispersion in a finitely pre-strained hollow sandwich circular cylinder

Akbarov, S. D.; Kepceler, Tamer; Egilmez, M. Mert

doi:10.1016/j.jsv.2011.04.009

Cited by 48 publications

(21 citation statements)

References 30 publications

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“…Shmuel et al [22] investigated electromechanical waves propagating in a dielectric elastomer layer with initial deformation. Akbarov et al [23] studied the torsional wave dispersion in a layered hollow cylinder. Chen and Dai [24], based on the nonlinear electroelastic theory of Dorfmann and Ogden [21], presented an exact axisymmetric wave solution for a soft electroactive cylinder with both underlying finite deformation and electric biasing field.…”

Section: Introductionmentioning

confidence: 99%

Adjustable solitary waves in electroactive rods

Wang

Zhang

Dai

et al. 2015

Journal of Sound and Vibration

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Section: Introductionmentioning

confidence: 99%

Adjustable solitary waves in electroactive rods

Wang

Zhang

Dai

et al. 2015

Journal of Sound and Vibration

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“…An incremental constitutive relation is first derived according to the theory related to the dynamics of initially stressed bodies (Guz, 2002;Akbarov and Guz, 2004;Akbarov et al, 2011). Subsequently, a model of the variation of shear modulus and physical parameters is established.…”

Section: Introductionmentioning

confidence: 99%

Longitudinal dynamic response of pile foundation in a nonuniform initial strain field

Tian

Xiao-nan

2014

KSCE J Civ Eng

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This paper presents an investigation into the dynamic response of pile and soil due to pile installation in a radially inhomogeneous initial strain field. The radial variation rule for the shear modulus and physical parameters of the soil caused by the initial strain field is deduced. On the basis of the plane strain and complete P-S (pile-soil) contact assumptions, the analytical solution of longitudinal dynamic impedance of the soil is derived by means of subdividing the soil domain into a number of annular vertical zones. The longitudinal impedance of the pile top and velocity response in frequency and time domains, are also obtained. The parametric study of interfacial pressure on the dynamic response of P-S system is undertaken within a relatively lower frequency domain. Comparison results between previous solutions and the present study indicates that the analytical solution derived in this paper is more stable.

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“…S.D. Akbarov et al [8] studied torsional wave dispersion in a three-layered (sandwich) hollow cylinder with finite initial strains. The investigations were carried out within the scope of the piecewise homogeneous body model with the use of the three-dimensional linearized theory of elastic waves in initially stressed bodies.…”

Section: Introductionmentioning

confidence: 99%

Model of Torsional Waves Based on Transverse and Layered One-Dimensional Component of Infinite Length

Di¹,

Wei-Xin²,

Wang³

et al. 2016

IJHIT

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The dispersion of torsional wave in transverse and layered one-dimensional component of infinite length is investigated. The study is carried out by treating the one-dimensional component as a cylinder of infinite length firstly, Then put forward a way that the component is divided into a multilayer to analyze torsional wave propagation, the model is constructed in cylindrical coordinates for homogeneous and layered component, the governing equation of torsional wave was derived based on one-dimensional elastic theory and Whittaker's function, obtain harmonic wave solution of the governing equation by making use of the boundary and continuity conditions of adjacent layers. Finally the result of numerical simulation illustrated the influence of component's density and shear module on torsional angels and phase velocity. It has been observed the velocity is changing as the change of parameters of shear module and density according to the curve. The conclusion made shown the consistency with the classical theory, and the effective on model such as bearings, engineering mechanics and displacement of particles.

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Torsional wave dispersion in a finitely pre-strained hollow sandwich circular cylinder

Cited by 48 publications

References 30 publications

Adjustable solitary waves in electroactive rods

Adjustable solitary waves in electroactive rods

Longitudinal dynamic response of pile foundation in a nonuniform initial strain field

Model of Torsional Waves Based on Transverse and Layered One-Dimensional Component of Infinite Length

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