Dynamic stability of viscoelastic circular cylindrical shells taking into account shear deformation and rotatory inertia |
| |
Authors: | Bakhtiyor Eshmatov |
| |
Institution: | Department of Mathematical Modeling and Information Technology, Tashkent Institute of Irrigation and Melioration, Tashkent, 100000, Uzbekistan |
| |
Abstract: | The present work discusses the problem of dynamic stability of a viscoelas- tic circular cylindrical shell,according to revised Timoshenko theory,with an account of shear deformation and rotatory inertia in the geometrically nonlinear statement.Pro- ceeding 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 vari- ation 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. |
| |
Keywords: | Timoshenko theory dynamic stability cylindrical shell viscoelasticity |
本文献已被 CNKI 维普 万方数据 SpringerLink 等数据库收录! |
| 点击此处可从《应用数学和力学(英文版)》浏览原始摘要信息 |
| 点击此处可从《应用数学和力学(英文版)》下载免费的PDF全文 |