| 多层厚壁圆筒频率方程的简化及一类贝塞尔函数递推公式 |
| |
| 引用本文： | 尹晓春.多层厚壁圆筒频率方程的简化及一类贝塞尔函数递推公式[J].应用数学和力学,1999,20(3):319-324. |
| |
| 作者姓名： | 尹晓春 |
| |
| 作者单位： | 南京理工大学土木工程与力学系, 南京 210014 |
| |
| 摘 要： | 本文从理论上研究了相同材料的多层厚壁圆筒径向振动的频率方程,证明若干层相互接触的层筒的整体频率方程,可以用单个厚壁圆筒的频率方程替代,从而大大简化了求解过程.并从该实际问题出发,推导出了一类贝塞尔函数的递推公式.
|
| 关 键 词： | 频率 振动 特殊函数 |
| 收稿时间： | 1997-03-24 |
Simplification of Frequency Equation of Multilayered Cylinders and Some Recursion Formulae of Bessel Functions |
| |
| Yin Xiaochun.Simplification of Frequency Equation of Multilayered Cylinders and Some Recursion Formulae of Bessel Functions[J].Applied Mathematics and Mechanics,1999,20(3):319-324. |
| |
| Authors: | Yin Xiaochun |
| |
| Institution: | Department of Civil Engineering and Mechanics, Nanjing University of Science and Technology, Nanjing 210014, P. R. China |
| |
| Abstract: | In this paper the axially symmetric, radial vibration frequency equation of multilayered cylinders made of the same materials in plain strain state is studied. It is proved in this paper that the frequency equation of several contact hollow cylinders can be replaced by the frequency equation of a single hollow cylinder,so that the solving process is greatly simplified. Some recursion formulae of Bessel functions are derived from such practice problems as well. |
| |
| Keywords: | frequency vibration Bessel functions |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
| 点击此处可从《应用数学和力学》浏览原始摘要信息 |
| 点击此处可从《应用数学和力学》下载免费的PDF全文 |
