## 留言板

 引用本文: 任九生. 周期载荷下超弹性圆柱壳的动力响应[J]. 应用数学和力学, 2008, 29(10): 1199-1207.
REN Jiu-sheng. Dynamical Response of Hyper-Elastic Cylindrical Shells Under Periodic Load[J]. Applied Mathematics and Mechanics, 2008, 29(10): 1199-1207.
 Citation: REN Jiu-sheng. Dynamical Response of Hyper-Elastic Cylindrical Shells Under Periodic Load[J]. Applied Mathematics and Mechanics, 2008, 29(10): 1199-1207.

• 中图分类号: O343

## Dynamical Response of Hyper-Elastic Cylindrical Shells Under Periodic Load

• 摘要: 研究了不可压超弹性圆柱壳在内表面周期载荷及突加常值载荷作用下的运动与破坏等动力响应问题．通过对所得描述圆柱壳内表面运动的非线性常微分方程解的数值计算和动力学定性分析，发现存在一个临界载荷；当突加常值载荷或周期载荷的平均载荷值小于这一临界值时，圆柱壳的运动随时间的演化是周期性的或拟周期性的非线性振动，而当其大于这一临界值时，圆柱壳将被破坏．另外，准静态问题的解可作为突加常值载荷作用下系统动力响应解的不动点，且不动点的性质与动力响应解及圆柱壳运动的性质有关．讨论了圆柱壳的厚度和载荷等参数对临界载荷值和圆柱壳运动特性的影响．
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##### 出版历程
• 收稿日期:  2008-06-23
• 修回日期:  2008-08-25
• 刊出日期:  2008-10-15

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