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。
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.
出处
《数学杂志》
CSCD
北大核心
2010年第1期168-172,共5页
Journal of Mathematics
关键词
圆环膜
自由振动
固有频率
节线
annular elastic membrane
transverse free vibration
eigenfrequencies
nodal lines
