节点文献
圆环膜自由振动的数学模型及其若干声学特性
A MODEL ON TRANSVERSE FREE VIBRATION OF ANNULAR ELASTIC MEMBRANE AND SOME OF ITS ACOUSTIC CHARACTERS
【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。
【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.
【关键词】 圆环膜;
自由振动;
固有频率;
节线;
【Key words】 annular elastic membrane; transverse free vibration; eigenfrequencies; nodal lines;
【Key words】 annular elastic membrane; transverse free vibration; eigenfrequencies; nodal lines;
- 【文献出处】 数学杂志 ,Journal of Mathematics , 编辑部邮箱 ,2010年01期
- 【分类号】O302
- 【被引频次】4
- 【下载频次】301