| 圆环膜自由振动的数学模型及其若干声学特性 |
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| 引用本文： | 罗吉,罗亮生. 圆环膜自由振动的数学模型及其若干声学特性[J]. 数学杂志, 2010, 30(1) |
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| 作者姓名： | 罗吉 罗亮生 |
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| 作者单位： | 1. 科学出版社科学分社,北京,100717
2. 南京大学数学系,江苏,南京,210093 |
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| 摘 要： | 本文研究了圆环膜的横向自由振动.利用该振动的数学模型,得到了其形式解以及固有频率和节线的计算公式.该结果可用于涉及圆环膜振动的领域,也可以用于某些乐器.
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| 关 键 词： | 圆环膜 自由振动 固有频率 节线 |
A MODEL ON TRANSVERSE FREE VIBRATION OF ANNULAR ELASTIC MEMBRANE AND SOME OF ITS ACOUSTIC CHARACTERS |
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| LUO Ji,LUO Liang-sheng. A MODEL ON TRANSVERSE FREE VIBRATION OF ANNULAR ELASTIC MEMBRANE AND SOME OF ITS ACOUSTIC CHARACTERS[J]. Journal of Mathematics, 2010, 30(1) |
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| Authors: | LUO Ji LUO Liang-sheng |
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| Affiliation: | LUO Ji~1,LUO Liang-sheng~2 (1.Science Press,Beijing 100717,China) (2.Dept.of Math.,Nanjing University,Nanjing 210093,China) |
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| Abstract: | In this article,transverse free vibration of annular elastic membrane is studied. On the basis of a mathematical model of the vibration,its formal solution as well as the eigenfrequencies and nodal lines is obtained,which is useful in the field of transverse vibration of annular elastic membrane.Also the results may be applied to some musical instruments. |
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| Keywords: | annular elastic membrane transverse free vibration eigenfrequencies nodal lines |
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