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

被引：8
作者：
Eshmatov, B. Kh. [1 ]
机构：
[1] Tashkent Inst Irrigat & Ameliorat, Dept Informat Technol, Tashkent 700000, Uzbekistan
来源：
NONLINEAR DYNAMICS | 2007年 / 50卷 / 1-2期
关键词：
Timoshenko theory; Kirchhoff-Love theory; rotatory inertia; shear deformation; viscoelasticity; kernel of relaxation; circular cylindrical shell; nonlinear vibrations; Bubnov-Galerkin method;
D O I：
10.1007/s11071-006-9163-4
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
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.
引用
收藏
页码：353 / 361
页数：9
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