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自由边界弯曲振动圆形薄板辐射阻抗研究
引用本文:张频,贺西平,汪彦军.自由边界弯曲振动圆形薄板辐射阻抗研究[J].陕西师范大学学报,2007,35(3):31-34.
作者姓名:张频  贺西平  汪彦军
作者单位:陕西师范大学应用声学研究所,陕西师范大学应用声学研究所,陕西师范大学应用声学研究所 陕西西安710062,西安建筑科技大学理学院,陕西西安710055,陕西西安710062,陕西西安710062
摘    要:基于对弯曲振动圆形薄板振动特性的分析,以振动面中心点振动速度为参考,研究了自由边界弯曲振动圆形薄板辐射阻抗的解析表达式,并利用5个节点的高斯数值积分方法,计算了6种振动模式下辐射阻抗的数值.结果表明,自由边界弯曲振动圆形薄板的辐射阻抗不仅是波数和圆板半径的函数,还与节线数目(振动模式)有关.这为实际应用中评价声学振动系统的电声效率提供了依据.

关 键 词:弯曲振动  辐射阻抗  数值计算
文章编号:1672-4291(2007)03-0031-03
修稿时间:2007-03-12

Radiation impedance of thin circular flat plate in flexural vibration with free boundary
ZHANG Pin,HE Xi-ping,WANG Yan-jun.Radiation impedance of thin circular flat plate in flexural vibration with free boundary[J].Journal of Shaanxi Normal University: Nat Sci Ed,2007,35(3):31-34.
Authors:ZHANG Pin  HE Xi-ping  WANG Yan-jun
Abstract:The expressions of radiation impedance of thin circular flat plate in flexural vibration with free boundary are derived reference to the center point vibration velocity of vibration plane based on the analyzing of vibration characteristics.The radiation impedances of six vibration modes are calculated by using the five nodes Gaussian numerical integration method.It is proved that the radiation impedance is not only the function of the wave number k and the radius a,but is concerned with number of the nodal line(vibration mode).It provides foundations for estimating acoustic-electric efficiency of vibration system in practical applications.
Keywords:flexural vibration  radiation impedance  numerical calculation
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