Damping Properties Of Two-layered Cylindrical Shells With An Unconstrained Viscoelastic Layer

Okazaki, Akihiko; Tatemichi, Aritoshi; Mirza, S.

doi:10.1006/jsvi.1994.1365

Cited by 14 publications

(11 citation statements)

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“…To satisfy the boundary conditions of the problem, we use the following multiterm approximations for the deflections and rotations [21]:…”

Section: Mathematical Modelmentioning

confidence: 99%

“…The vibration problems of viscoelastic cylindrical shells obeying the Kirchhoff-Love and Timoshenko hypotheses have received less attention [21][22][23][24]. These problems were studied using the Voight differential model [21] and Boltzmann-Volterra physical model; in the latter case, exponential kernels [22,23] were taken as the relaxation kernels.…”

mentioning

confidence: 99%

“…These problems were studied using the Voight differential model [21] and Boltzmann-Volterra physical model; in the latter case, exponential kernels [22,23] were taken as the relaxation kernels.…”

mentioning

confidence: 99%

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Nonlinear vibrations of viscoelastic cylindrical shells taking into account shear deformation and rotatory inertia

Éshmatov

2007

Nonlinear Dyn

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The vibration problem of a viscoelastic cylindrical shell is studied in a geometrically nonlinear formulation using the refined Timoshenko theory. The problem is solved by the Bubnov-Galerkin procedure combined with a numerical method based on quadrature formulas. The choice of relaxation kernels is substantiated for solving dynamic problems of viscoelastic systems. The numerical convergence of the Bubnov-Galerkin procedure is examined. The effect of viscoelastic properties of the material on the response of the cylindrical shell is discussed. The results obtained by various theories are compared.

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“…To satisfy the boundary conditions of the problem, we use the following multiterm approximations for the deflections and rotations [21]:…”

Section: Mathematical Modelmentioning

confidence: 99%

mentioning

confidence: 99%

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Nonlinear vibrations of viscoelastic cylindrical shells taking into account shear deformation and rotatory inertia

Éshmatov

2007

Nonlinear Dyn

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“…The problems of vibration and stability of viscoelastic cylindrical shells are studied by many researchers and engineers. Using Flügge's theory and three-dimensional elasticity theory, Okazaki et al [1] studied the effects of damping properties in bending and extensional vibrations of two-layered cylindrical shells with an unconstrained viscoelastic layer using a numerical method. Cheng and Zhang [2] studied the dynamical behavior of viscoelastic cylindrical shells under axial harmonic pressure employing Kármán-Donnell theory for a thin shell and the Boltzmann law for viscoelastic materials.…”

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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“…Even if it was considered, the problems were either studied by Voight differential model [13] or by Boltzmann-Volterra physical model (in the latter case as relaxation kernels were considered the exponential kernels) [14,15] .…”

Section: Introductionmentioning

confidence: 99%

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

Éshmatov

2007

Appl Math Mech

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The present work discusses the problem of dynamic stability of a viscoelastic circular cylindrical shell, according to revised Timoshenko theory, with an account of shear deformation and rotatory inertia in the geometrically nonlinear statement. Proceeding by Bubnov-Galerkin method in combination with a numerical method based on the quadrature formula the problem is reduced to a solution of a system of nonlinear integro-differential equations with singular kernel of relaxation. For a wide range of variation of physical mechanical and geometrical parameters, the dynamic behavior of the shell is studied. The influence of viscoelastic properties of the material on the dynamical stability of the circular cylindrical shell is shown. Results obtained using different theories are compared.

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Damping Properties Of Two-layered Cylindrical Shells With An Unconstrained Viscoelastic Layer

Cited by 14 publications

References 0 publications

Nonlinear vibrations of viscoelastic cylindrical shells taking into account shear deformation and rotatory inertia

Nonlinear vibrations of viscoelastic cylindrical shells taking into account shear deformation and rotatory inertia

Nonlinear vibration analysis of fractional viscoelastic cylindrical shells

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

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