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torsional wave in a Dissipative Cylindrical Shell Under Initial Stresses

Computers, Materials & Continua 2022年第2期70卷 3021-3030页

作者： Mahmoud M.Selim Khaled A.Gepreel Department of Mathematics-College of Sciences&Humanities in Al Aflaj Prince Sattam bin Abdulaziz UniversityAl-Aflaj11912KSA Department of Mathematics Suez Faculty of ScienceSuez UniversityEgypt Department of Mathematics Faculty of ScienceTaif UniversityTaif21944Saudi Arabia

The dispersion relation of torsional wave in a dissipative,incompressible cylindrical shell of infinite length incorporating initial stresses effects is *** governing equation and closed form solutions are derived with the aid of Biot’s *** velocity and damping of torsional wave are obtained analytically and the influences of dissipation and initial stresses are studied in *** proposed a new method for obtaining the phase and damping velocities of torsional wave in a complex *** results analyzing the torsional wave propagation incorporating initial stress effects are analyzed and presented in *** analytical and numerical solutions reveal that,the dissipation as well as the initial stresses have notable impacts on the phase velocity of torsional wave in a pre-stressed dissipative cylindrical *** numerical results reveal that,the initial stresses and dissipation,considerably,effect the phase velocity of the torsional *** has been observed that,any change in dissipation parameter(δ)produces a substantial change in damping velocity of torsional *** addition,it can be seen that,the phase velocity increases as the initial stress parameter ***,the result of numerical simulation illustrated the influence of dissipation and initial stresses on damping and phase velocities of torsional wave *** conclusion made shown the consistency with the Biot’s incremental deformation theory,and the effective on model such as engineering mechanics and displacement of particles.

关键词： Propagation torsional wave dissipation cylindrical shell initial stress

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Influence of linearly varying density and rigidity on torsional surface waves in inhomogeneous crustal layer

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Applied Mathematics and Mechanics(English Edition) 2012年第10期33卷 1239-1252页

作者： S.GUPTA S.KVISHWAKARMA D.K.MAJHI S.KUNDU Department of Applied Mathematics Indian School of Mines

The present work deals with the possibility of propagation of torsional surface wave in an inhomogeneous crustal layer over an inhomogeneous half space. The layer has inhomogeneity which varies linearly with depth whereas the inhomogeneous half space exhibits inhomogeneity of three types, namely, exponential, quadratic, and hyperbolic discussed separately. The dispersion equation is deduced for each case in a closed form. For a layer over a homogeneous half space, the dispersion equation agrees with the equa- tion of the classical case. It is observed that the inhomogeneity factor due to linear variation in density in the inhomogeneous crustal layer decreases as the phase velocity increases, while the inhomogeneity factor in rigidity has the reverse effect on the phase velocity.

关键词： torsional wave phase velocity crustal layer exponential quadratic,hyperbolic

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Study on Excitation Frequency of Longitudinal and torsional Guided waves

Study on Excitation Frequency of Longitudinal and Torsional ...

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2009中国控制与决策会议

作者： Sun Li-ying~(1,2) 1.Department of Energy and Mechanics Engineering,,Tianjin Institute of Urban Construction,Tianjin,China,300384 2.State Key Laboratory on Precise Measuring and Testing Technique and Instrument,Tianjin University,Tianjin,China,300072

＜正＞Guided ultrasonic wave is a new non-destructive pipe inspection method for rapid,long distance *** can be used to inspect pipes,especially those buried underground or difficult to access using other conventional NDT *** this paper,the excitation frequency of two most commonly used ultrasonic guided waves,longitudinal wave and torsional wave were researched,and the lower and upper frequency limit were discussed in ***, factor that may affect the selection of experimental frequency was studied and optimum frequency of guided wave for a carbon steel experimental pipe was selected.

关键词： Frequency selection longitudinal wave torsional wave rapid pipe inspection

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