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图和近似的周期 ,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 .
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.
出处
《固体力学学报》
CAS
CSCD
北大核心
2004年第2期221-224,共4页
Chinese Journal of Solid Mechanics
基金
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
