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自由边界弯曲振动圆形薄板辐射阻抗研究 被引量:5

Radiation impedance of thin circular flat plate in flexural vibration with free boundary
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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. 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 α, but is concerned with number of the nodal line (vibration mode). It provides foundations for estimating acoustic-dectric efficiency of vibration system in practical applications.
出处 《陕西师范大学学报(自然科学版)》 CAS CSCD 北大核心 2007年第3期31-34,共4页 Journal of Shaanxi Normal University:Natural Science Edition
关键词 弯曲振动 辐射阻抗 数值计算 flexural vibration radiation impedance numerical calculation
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