Nonlinear vibrations of viscoelastic cylindrical shells taking into account shear deformation and rotatory inertia |
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| Authors: | B Kh Eshmatov |
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| Institution: | (1) Department of Informational Technology, Tashkent Institute of Irrigation and Amelioration, Tashkent, 700000, Uzbekistan |
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| Abstract: | 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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| Keywords: | Timoshenko theory Kirchhoff– Love theory Rotatory inertia Shear deformation Viscoelasticity Kernel of relaxation Circular cylindrical shell Nonlinear vibrations Bubnov– Galerkin method |
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