| 黏弹性圆柱壳计及切变形和转动惯量时的动力学稳定性 |
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| 引用本文： | B·Kh·艾什马托夫,海治.黏弹性圆柱壳计及切变形和转动惯量时的动力学稳定性[J].应用数学和力学,2007,28(10):1175-1184. |
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| 作者姓名： | B·Kh·艾什马托夫 海治 |
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| 作者单位： | 塔什干灌溉与土壤改良学院,数模与信息技术系,塔什干,100000,乌兹别克斯坦 |
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| 摘 要： | 根据修正的Timoshenko理论,在几何非线性中考虑了剪切变形和转动惯量,对黏弹性圆柱壳的动力稳定性进行了研究.根据Bubnov-Galerkin法,结合基于求积公式的数值方法,将问题简化为求解具有松弛奇异核的非线性积分-微分方程的问题.针对物理-力学和几何参数在大范围内的变化,研究壳体的动力特性,显示了材料的黏弹性对圆柱壳动力稳定性的影响.最后,比较了通过不同的理论得到的结果.
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| 关 键 词： | Timoshenko理论 动力稳定性 圆柱壳 黏弹性 |
| 文章编号： | 1000-0887（2007）10-1175-10 |
| 修稿时间： | 2007-02-15 |
Dynanic Stability of Viscoelastic Circular Cylindrical Shells Taking Into Account Shear Deformation and Rotatory Inertia |
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| B. Kh. Eshmatov.Dynanic 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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| Authors: | B Kh Eshmatov |
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| Institution: | Department of Mathematical Modeling and Information Technology, Tashkent Institute of Irrigation and Mdioration, Tashkent, 100000, Uzbekistan |
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| Abstract: | The problem of dynamic stability of a viscoelastic circular cylindrical shell was discussed according to Timoshenko revised theory,with account of shear deformation 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 viscoelastic properties of the material on the dynamical stability of the circular cylindrical shell is shown.Results obtained using different theories are compared. |
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| Keywords: | Timoshenko theory dynamic stability cylindrical shell viscoelasticity |
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