| 不可压缩Ogden材料组成的球体的有限振动 |
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| 引用本文： | 杜雁芳.不可压缩Ogden材料组成的球体的有限振动[J].大连民族学院学报,2012,14(3):242-245. |
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| 作者姓名： | 杜雁芳 |
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| 作者单位： | 辽宁师范大学 |
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| 摘 要： | 研究了各向同性不可压缩超弹性Ogden材料组成的两种球形结构（实心球体和含有微孔的球体）在外表面拉伸载荷作用下的径向对称运动问题．首先给出了问题的基本控制方程和初边值条件，求得了描述球形结构运动的二阶常微分方程．通过对解的定性分析，证明了球形结构随时间的运动为非线性周期振动．
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| 关 键 词： | 超弹性材料 球形结构 非线性周期振动 |
Finite Oscillation of Sphere Composed of a Class of Incompressible Ogden Materials |
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| DU Yan-fang.Finite Oscillation of Sphere Composed of a Class of Incompressible Ogden Materials[J].Journal of Dalian Nationalities University,2012,14(3):242-245. |
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| Authors: | DU Yan-fang |
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| Affiliation: | DU Yan - fang (School of Mathematics, Liaoning Normal University, Dalian Liaoning 116029, China) |
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| Abstract: | The problems of radial symmetric motions are researched for two spherical structures （ namely, a solid sphere and a sphere with an initial micro - void） composed of a class of isotropic incompressible hyperelastic Ogden materials, where the structures are subjected to radial tensile loads on their outer surfaces. Firstly, we present the basic control equations and the initial and the boundary conditions of the problem, and obtain two second order nonlinear ordinary differential equations which describe the radial motions of the spherical structures. Through qualitatively analyzing of the solutions, it is proved that the structures would perform a nonlinear periodic oscillation with time. |
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| Keywords: | hyper- elastic material spherical structure nonlinear periodic oscillation |
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