## 留言板

 引用本文: 丁皓江, 王惠明, 陈伟球. 圆柱壳的轴对称平面应变弹性动力学解[J]. 应用数学和力学, 2002, 23(2): 128-134.
DING Hao-jiang, WANG Hui-ming, CHEN Wei-qiu. A Theoretical Solution of Cylindrical Shells for Axisymmetric Plain Strain Elastodynamic Problems[J]. Applied Mathematics and Mechanics, 2002, 23(2): 128-134.
 Citation: DING Hao-jiang, WANG Hui-ming, CHEN Wei-qiu. A Theoretical Solution of Cylindrical Shells for Axisymmetric Plain Strain Elastodynamic Problems[J]. Applied Mathematics and Mechanics, 2002, 23(2): 128-134.

## 圆柱壳的轴对称平面应变弹性动力学解

###### 作者简介:丁皓江(1934- ),男,江苏常州人,教授.
• 中图分类号: O343.8

## A Theoretical Solution of Cylindrical Shells for Axisymmetric Plain Strain Elastodynamic Problems

• 摘要: 给出一种圆柱壳的轴对称平面应变弹性动力学问题的解析方法。首先通过引入一特定函数将非齐次边界条件化为齐次边界条件,然后利用分离变量法将位移减去特定函数的量展开为关于贝塞尔函数和时间函数乘积的级数,并由贝塞尔函数的正交性,导出时间函数的方程,容易求得此方程的解。将两者叠加可得弹性动力学问题的位移解。运用此方法,可以避免积分变换,并适宜于各种载荷。文中给出了各向同性和柱面各向同性圆柱壳内表面和实心圆柱外表面受冲击荷载作用以及内表面固定的柱面各向同性圆柱壳外表面受冲击荷载作用的数值结果。
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##### 出版历程
• 收稿日期:  2000-02-08
• 修回日期:  2001-09-18
• 刊出日期:  2002-02-15

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