摘要
应用有限变形动力学理论研究了一种可压缩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。应用有限差分法求解球壳振动的振幅和外加荷载之间的微分关系 ,得到了球壳振动的时程和相图。可以证明 。
The finite ocsillation of a compressible hyper-elastic hollow sphere,subjected to a suddenly applied uniform radial tensile boundary load,is studied following the theory of finite deformation dynamics.The time history curves and the phase diagram for the oscillation are obtained by solving the differential relation between vibration amplitude and tensile load with finite difference method.It is proved that the ocsillation of the compressible hyper-elastic hollow sphere is a nonlinear quasi-periodic oscillation.
出处
《振动与冲击》
EI
CSCD
北大核心
2003年第4期1-3,22,共4页
Journal of Vibration and Shock
基金
国家自然科学基金资助项目 (1 0 2 72 0 69)
上海市重点学科建设资助项目