| 横观各向同性超弹性球壳的有限振动 |
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| 引用本文： | 任九生,程昌钧.横观各向同性超弹性球壳的有限振动[J].固体力学学报,2004,25(2):221-224. |
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| 作者姓名： | 任九生 程昌钧 |
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| 作者单位： | 上海大学,上海市应用数学和力学研究所,力学系,上海,200072;上海大学,上海市应用数学和力学研究所,力学系,上海,200072 |
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| 基金项目： | 国家自然科学基金 ( 10 2 72 0 69)资助项目，上海市重点学科建设资助项目 |
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| 摘 要： | 应用有限变形动力学理论研究了一种横观各向同性不可压超弹性材料球壳在表面突加均布拉伸载荷作用下的有限振动问题．给出了球壳振动的振幅和外加载荷之间的关系，得到了，球壳振动的相同和近似的周期，讨论了球壳振动的振幅、相图及振动的周期和材料各向异性程度的关系．
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| 关 键 词： | 各向异性超弹性材料 有限变形动力学 非线性周期振动 |
| 修稿时间： | 2002年10月8日 |
FINITE OCSILLATION OF AN ANISOTROPIC HYPERELASTIC HOLLOW SPHERE |
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| Ren Jiusheng Cheng Changjun.FINITE OCSILLATION OF AN ANISOTROPIC HYPERELASTIC HOLLOW SPHERE[J].Acta Mechnica Solida Sinica,2004,25(2):221-224. |
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| Authors: | Ren Jiusheng Cheng Changjun |
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| Abstract: | The finite ocsillation of a transversely isotropic incompressible hyper-elastic hollow sphere with the neo-Hookean strain energy function, subjected to a suddenly applied uniform radial tensile boundary load, is studied following the theory of finite deformation dynamics. An exact differential relation between the maximum amplitude and the tensile load is obtained. The phase diagram for the nonlinear periodic oscillation and the approximate period are obtained too. The phase diagram for the oscillation, the maximum amplitude and the approximate period depend on the degree of anisotropy of materials. |
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| Keywords: | incompressible anisotropic hyper-elastic material finite deformation dynamics nonlinear periodic oscillation |
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