Dynamic stability of viscoelastic circular cylindrical shells taking into account shear deformation and rotatory inertia

Éshmatov, B. Kh.

doi:10.1007/s10483-007-1005-y

Cited by 10 publications

(4 citation statements)

References 18 publications

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“…Today, efficient solution algorithms for nonlinear problems of dynamic stability of shells, panels, and plates are the most pressing issue. The problems with a similar mathematical formulation were considered in [1][2][3][4][5][6][7][8][9][10][11][12].…”

Section: Introductionmentioning

confidence: 99%

Dynamic stability of anisotropic fiber-reinforced plate

Éshmatov¹,

Abdikarimov

Komilova

et al. 2021

E3S Web Conf.

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The dynamic stability problem of an anisotropic fiber-reinforced plate under increasing compressing load is considered in a geometrically nonlinear formulation using the Kirchhoff-Love’s shell theory. The problem is solved using the Bubnov-Galerkin method based on a polynomial approximation of the deflections in combination with a numerical method based on quadrature formulas. For a wide range of variations of physical, mechanical, and geometrical parameters, the dynamic behavior of the plate is studied.

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Section: Introductionmentioning

confidence: 99%

Dynamic stability of anisotropic fiber-reinforced plate

Éshmatov¹,

Abdikarimov

Komilova

et al. 2021

E3S Web Conf.

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“…Dynamic stability of an imperfect isotropic viscoelastic circular cylindrical shell regarding the shear deformation and rotatory inertia based on the global first-order Timoshenko theory was studied by Eshmatov. 22…”

Section: Introductionmentioning

confidence: 99%

Dynamic pulse buckling and failure analysis of the single curved composite sandwich panel using the core high-order theory

Ahmadi

Pashaei

Jafari-Talookolaei

2020

Proceedings of the Institution of Mechanical Engineers, Part C:

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The current study aims to investigate the facesheet dynamic pulse buckling of simply supported, cylindrical composite sandwich panels using the Budiansky–Roth buckling criterion. The foam core has been modeled with isotropic elastic-perfectly plastic properties and various failure modes of the sandwich panel like facesheet fracture, foam shear fracture, and foam yield are investigated. The extended high-order sandwich panel core theory was used to model the compressibility of the core. To study the mechanical properties of the viscoelastic foam core, the Kelvin–Voigt linear viscoelastic model was applied. The transient responses and stress components obtained from the present method are compared with finite element solutions using commercial software ANSYS and those reported in the literature. Accordingly, reasonable agreement is observed. It was shown that the pulse local buckling strength of the panel increases with a decrease in the panel radius or an increase in the thickness of the panel, and facesheet fracture is considered more a likely failure mode of these sandwich panels.

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“…Khudayarov and Bandurin [4] studied the effects of the viscoelastic parameters on the nonlinear vibrations of cylindrical panels in a gas flow and showed that the viscoelastic properties have significant effect on the vibrations of the cylindrical panel. Based on the Kirchhoff-Love hypothesis, Eshmatov et al [5][6][7][8][9] investigated the linear and nonlinear vibration and dynamic stability of a viscoelastic cylinder. They considered the effect of viscoelastic properties, concentrated masses, rotary inertia, and shear deformation on the dynamic stability of a cylindrical panel.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear vibration analysis of fractional viscoelastic cylindrical shells

2020

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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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Dynamic stability of viscoelastic circular cylindrical shells taking into account shear deformation and rotatory inertia

Cited by 10 publications

References 18 publications

Dynamic stability of anisotropic fiber-reinforced plate

Dynamic stability of anisotropic fiber-reinforced plate

Dynamic pulse buckling and failure analysis of the single curved composite sandwich panel using the core high-order theory

Nonlinear vibration analysis of fractional viscoelastic cylindrical shells

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