[1]宋启根.球壳振动问题的近似解[J].东南大学学报(自然科学版),1964,6(5):69-78.[doi:10.3969/j.issn.1001-0505.1964.05.005]
 Sung Chi-Ken.The approximate solution of the symmetric vibration problems in spherical shells[J].Journal of Southeast University (Natural Science Edition),1964,6(5):69-78.[doi:10.3969/j.issn.1001-0505.1964.05.005]
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球壳振动问题的近似解()
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《东南大学学报(自然科学版)》[ISSN:1001-0505/CN:32-1178/N]

卷:
6
期数:
1964年第5期
页码:
69-78
栏目:
本刊信息
出版日期:
1964-12-30

文章信息/Info

Title:
The approximate solution of the symmetric vibration problems in spherical shells
作者:
宋启根
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Author(s):
Sung Chi-Ken
关键词:
近似解 球壳 自振频率 近似公式 近似表达式 频率方程 球函数 自由振动 边界条件 近似式
分类号:
+
DOI:
10.3969/j.issn.1001-0505.1964.05.005
摘要:
本文改进了Legendre函数的近似表达式,作者利用本文改进的Legendre函数的近似式来研究球壳的自由振动,提出了計算自振频率的较准确的計算理論。在准确理論基础上,文中获得球壳自振問題的扁壳理論和无矩理論,作者作了多种数字計算并提出了計算球壳自振頻率的实用近似公式。
Abstract:
In this paper, the author has improved the approximate solutions for associated Legendre’s function. When these improved approximate expressions for associated Legendre’s function are used in studying the frequencies of free vibrations of spherical shell, a more rigorous theory for calculations of frequencies has been suggested. On the basis of authes’s rigorous theory, the theory of shallow spherical shells and spherical shells withoot bending is established. Various computations have been performed and an approximate formula is suggested for determining the frequencies of vibrations of spherical shells.
更新日期/Last Update: 2013-05-01