Free vibration analysis of sandwich conical shells with fractional viscoelastic core

Permoon, M.R.; Shakouri, M.; Haddadpour, H.

doi:10.1016/j.compstruct.2019.01.082

Cited by 28 publications

(9 citation statements)

References 47 publications

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“…Since the strength modulus of the viscoelastic layers are usually very small in comparison with the elastic layers, only the shear strain terms of the core layer are taken into account (Permoon et al, 2019). Moreover, the shear strains of the viscoelastic layer can be obtained as…”

Section: Governing Equations For Conical Shells 21 Model Definitionmentioning

confidence: 99%

“…Viscoelastic core layer. Using the fractional-order model for a viscoelastic layer, the shear stress-shear strain relations are expressed as (Permoon et al, 2019)…”

Section: Governing Equations For Conical Shells 21 Model Definitionmentioning

confidence: 99%

“…Because of the lack of published works on the vibration of a three-layer cylindrical shell with a fractional viscoelastic core and FG face sheets, the validity of the present formulation is considered in three steps using a developed computer code. On the other hand, eigenvalues of a three-layer cylindrical shell including the viscoelastic core, available in Permoon et al, 2019 andXiang et al, 2008, are obtained. As shown in Table 2, the results of the present study are in close agreement with previous investigations in both natural frequencies and damping coefficients.…”

Section: Validation and Convergence Studymentioning

confidence: 99%

“…Rossikhin and Shitikova (2016) applied this model to study the dynamic response of a fractional viscoelastic plate impacted by an elastic rod. Mokhtari et al (2018) and Permoon et al (2019) studied the frequency and damping of sandwich cylindrical and conical shells, respectively, containing a fractional viscoelastic core and isotropic face layers. Askarian et al (2020) studied the vibration of pipes conveying fluid on fractional viscoelastic foundation with general boundary conditions, Shitikova and Ajarmah (2020) focused on the nonlinear vibrations of fractionally damped cylinders under the additive combinational internal resonance, and Permoon et al (2020) studied the nonlinear vibration of fractional cylindrical shells.…”

Section: Introductionmentioning

confidence: 99%

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Dynamic analysis of three-layer cylindrical shells with fractional viscoelastic core and functionally graded face layers

Shakouri

Permoon

Askarian

et al. 2020

Journal of Vibration and Control

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Natural frequency and damping behavior of three-layer cylindrical shells with a viscoelastic core layer and functionally graded face layers are studied in this article. Using functionally graded face layers can reduce the stress discontinuity in the face–core interface that causes a catastrophic failure in sandwich structures. The viscoelastic layer is expressed using a fractional-order model, and the functionally graded layers are defined by a power law function. Assuming the classical shell theory for functionally graded layers and the first-order shear deformation theory for the viscoelastic core, equations of motion are derived using Lagrange’s equation and then solved via Rayleigh–Ritz method. The obtained results are validated with those in the literature, and finally, the effects of some geometrical and material parameters such as length-to-radius ratio, functionally graded properties, radius and thickness of viscoelastic layer on the natural frequency, and loss factor of the system are considered, and some conclusions are drawn.

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Section: Governing Equations For Conical Shells 21 Model Definitionmentioning

confidence: 99%

“…Viscoelastic core layer. Using the fractional-order model for a viscoelastic layer, the shear stress-shear strain relations are expressed as (Permoon et al, 2019)…”

Section: Governing Equations For Conical Shells 21 Model Definitionmentioning

confidence: 99%

Section: Validation and Convergence Studymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Dynamic analysis of three-layer cylindrical shells with fractional viscoelastic core and functionally graded face layers

Shakouri

Permoon

Askarian

et al. 2020

Journal of Vibration and Control

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“…Rossikhin et al [31] studied the nonlinear vibrations of a fractionally damped cylindrical shell under the conditions of combinational internal resonance. Mokhtari et al [32,33] studied the vibration and aeroelastic flutter of sandwich cylindrical shells with fractionalorder viscoelastic core and isotropic face sheets, and Permoon et al [34] performed the same analysis for the vibration of sandwich conical shells with fractional core.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear vibration analysis of fractional viscoelastic cylindrical shells

2020

Self Cite

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Nonlinear vibrations of viscoelastic thin cylindrical shells are studied in this paper. The viscoelastic properties are modeled using the Kelvin-Voigt fractional-order constitutive relationship. Based on the nonlinear Love thin shell theory, the structural dynamics of the cylindrical shell is modeled by using the Newton's second law, and the Galerkin method is used to discretize the nonlinear partial differential equations into the set of nonlinear ordinary differential equations. The method of multiple scales is used to solve the nonlinear ordinary differential equations, and the amplitude-frequency and phase-frequency equations are extracted. The obtained results are verified with available investigations, and the effects of fractional parameters, excitation, and nonlinearity on the amplitude-frequency and phase-frequency responses of the viscoelastic cylindrical shells are outlined.

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Numerical Study of Nonlinear Vibrations of Fractionally Damped Cylindrical Shells Under the Additive Combinational Internal Resonance

Shitikova

Ajarmah

2020

New Trends in Nonlinear Dynamics

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Free vibration analysis of sandwich conical shells with fractional viscoelastic core

Cited by 28 publications

References 47 publications

Dynamic analysis of three-layer cylindrical shells with fractional viscoelastic core and functionally graded face layers

Dynamic analysis of three-layer cylindrical shells with fractional viscoelastic core and functionally graded face layers

Nonlinear vibration analysis of fractional viscoelastic cylindrical shells

Numerical Study of Nonlinear Vibrations of Fractionally Damped Cylindrical Shells Under the Additive Combinational Internal Resonance

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