Dispersion of torsional waves in initially stressed multilayered circular cylinders

Çilli, Arzu; Ozturk, A.

doi:10.1007/s11029-010-9141-2

Cited by 5 publications

(2 citation statements)

References 20 publications

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“…7 presented a comparative analysis for isotropic, sandwich and laminated plates using a meshless method. Cilli and Ozturk 8 presented their analysis regarding the spreading of torsional waves in multi-layered compounded cylinder. Similarly, Kepceler 9 investigated the torsional wave propagation in a bi-layered compounded cylinder, which has an imperfect interface, in the absence of initial stresses.…”

Section: Introductionmentioning

confidence: 99%

Dynamic response of a bi-axially pre-stressed bi-layered plate resting on a rigid foundation under a harmonic force

Daşdemir

2019

Proceedings of the Institution of Mechanical Engineers, Part C:

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This study aims to investigate the forced vibrations caused by a time-harmonic force from a pre-stressed bi-layered plate resting on a rigid foundation under the action of a time-harmonic pointwise loading. Our investigation was conducted according to a piecewise homogeneous body model utilizing the three-dimensional linearized theory of elastic waves in initially stressed bodies. Throughout this study, we assumed that there is complete contact between the plate and the rigid foundation. The purpose of this study is threefold: the development of a mathematical model to investigate the dynamic response of the pre-stressed bi-layered plate, the analysis of the frequency response of the plate under consideration, and finally, demonstrating the relationship between the initial stress and the dimensionless frequency of the plate. We solved the mathematical model by employing the finite element method. We present our numerical results on the dynamic behavior of the plate. In particular, we have shown that an increase in the values of the aspect ratio of a plate under fixed thickness leads to a decrease in the normal stress resonance values.

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Section: Introductionmentioning

confidence: 99%

Dynamic response of a bi-axially pre-stressed bi-layered plate resting on a rigid foundation under a harmonic force

Daşdemir

2019

Proceedings of the Institution of Mechanical Engineers, Part C:

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“…The monographs [1,2] give detailed information on the subject. Some examples of studies made on the influence of initial stresses on the multilayered system are given in [3][4][5][6][7][8][9][10].…”

Section: Introductionmentioning

confidence: 99%

Effect of Initial Stress on the Dynamic Response of a Multi-Layered Plate-Strip Subjected to an Arbitrary Inclined Time-Harmonic Force

Daşdemir

2017

International Journal of Applied Mechanics and Engineering

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The forced vibration of a multi-layered plate-strip with initial stress under the action of an arbitrary inclined time-harmonic force resting on a rigid foundation is considered. Within the framework of the piecewise homogeneous body model with the use of the three-dimensional linearized theory of elastic waves in initially stressed bodies (TLTEWISB), a mathematical modelling is presented in plane strain state. It is assumed that there exists the complete contact interaction at the interface between the layers and the materials of the layer are linearly elastic, homogeneous and isotropic. The governing system of the partial differential equations of motion for the considered problem is solved approximately by employing the Finite Element Method (FEM). Further, the influence of the initial stress parameter on the dynamic response of the plate-strip is presented.

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Dispersion of Torsional Waves in a Hollow Bilayered Cylinder with Initial Inhomogeneous Thermal Stresses

Akbarov

Bagirov

2021

Mech Compos Mater

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Dispersion of torsional waves in initially stressed multilayered circular cylinders

Cited by 5 publications

References 20 publications

Dynamic response of a bi-axially pre-stressed bi-layered plate resting on a rigid foundation under a harmonic force

Dynamic response of a bi-axially pre-stressed bi-layered plate resting on a rigid foundation under a harmonic force

Effect of Initial Stress on the Dynamic Response of a Multi-Layered Plate-Strip Subjected to an Arbitrary Inclined Time-Harmonic Force

Dispersion of Torsional Waves in a Hollow Bilayered Cylinder with Initial Inhomogeneous Thermal Stresses

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