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

被引：8

作者：

Eshmatov B. ^{[1
]}

机构：

[1] Department of Mathematical Modeling and Information Technology, Tashkent Institute of Irrigation and Melioration, Tashkent

来源：

Applied Mathematics and Mechanics (English Edition) | 2007年 / 28卷 / 10期

关键词：

Cylindrical shell; Dynamic stability; Timoshenko theory; Viscoelasticity;

D O I：

10.1007/s10483-007-1005-y

中图分类号：

学科分类号：

摘要：

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. © 2007 Editorial Committee of Appl. Math. Mech.

引用

页码：1319 / 1330

页数：11

共 29 条

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