圆环膜自由振动的数学模型及其若干声学特性
원배막자유진동적수학모형급기약간성학특성
A MODEL ON TRANSVERSE FREE VIBRATION OF ANNULAR ELASTIC MEMBRANE AND SOME OF ITS ACOUSTIC CHARACTERS
  • 万方数据
    数学杂志 수학잡지
    JOURNAL OF MATHEMATICS
    2010年 1期 168-172 ,共5页

    罗吉%罗亮生

    라길%라량생

    圆环膜%自由振动%固有频率%节线 圓環膜%自由振動%固有頻率%節線
    원배막%자유진동%고유빈솔%절선
    annular elastic membrane%transverse free vibration%eigenfrequencies%nodal lines
    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.
    본문연구료원배막적횡향자유진동.이용해진동적수학모형,득도료기형식해이급고유빈솔화절선적계산공식.해결과가용우섭급원배막진동적영역,야가이용우모사악기.
    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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