Dynamic Stability of Viscoelastic Circular Cylindrical Shells Taking Into Account Shear Deformation and Rotatory Inertia

B. Kh. Eshmatov

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B. Kh. Eshmatov. Dynamic Stability of Viscoelastic Circular Cylindrical Shells Taking Into Account Shear Deformation and Rotatory Inertia[J]. Applied Mathematics and Mechanics, 2007, 28(10): 1175-1184.

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Dynamic Stability of Viscoelastic Circular Cylindrical Shells Taking Into Account Shear Deformation and Rotatory Inertia

B. Kh. Eshmatov

Department of Mathematical Modeling and Information Technology, Tashkent Institute of Irrigation and Melioration, Tashkent, 100000, Uzbekistan

Received Date: 2007-02-15
Rev Recd Date: 2007-06-26
Publish Date: 2007-10-15

Abstract

Abstract

The problem of dynamic stability of a viscoelastic circular cylindrical shell was discussed accor ding to Timoshenko revised theory,with a ccount of shear de formation and rotatory inertia in the geometrically nonlinear statement.Proceeding by Bubnov-Galerkin method in combination with numerical method based on the quadrature formula the problem was reduced to a solution of a system of nonlinear integro-differential equations with singular kernel of relaxation.For wide range of variation of physical-mechanical and geometrical parameters,dynamic behavior of the shell was studied.The influence of visco elastic properties of the material on the dynamical stability of the circularcy lindrical shell is shown.Results obtained using different theories are compared.
- Timoshenko theory,
- dynamic stability,
- cylindrical shell,
- viscoela sticity

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References(29)

References

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