径向振动的阶梯式圆环超声聚能器研究
Study on the step-type circular ring ultrasonic concentrator in radial vibration.
作者信息
Lin Shuyu
机构信息
Institute of Applied Acoustics, Shaanxi Normal University, Xian, Shaanxi 710062, People's Republic of China.
出版信息
Ultrasonics. 2009 Feb;49(2):206-11. doi: 10.1016/j.ultras.2008.08.003. Epub 2008 Aug 15.
In this paper, the plane radial vibration of an isotropic metal thin circular rings is studied and its equivalent circuit model is obtained. Based on the equivalent circuit model, the step-type circular ring concentrator consisting of two metal thin circular rings in radial vibration is analyzed. Its compound equivalent circuit is derived and the resonance frequency equation is obtained. The relationship between the resonance frequency, the radial displacement amplitude magnification and the geometrical dimensions is analyzed. The resonance frequency of the step-type radial concentrator is calculated based on the resonance frequency equation. For comparison, the resonance frequency of the step-type radial concentrator is also obtained by using numerical method. It is illustrated that the resonance frequencies from these two methods are in a good agreement with each other.
本文研究了各向同性金属薄圆环的平面径向振动，并得到了其等效电路模型。基于该等效电路模型，分析了由两个径向振动的金属薄圆环组成的阶梯型圆环聚能器。推导了其复合等效电路并得到了共振频率方程。分析了共振频率、径向位移幅值放大倍数与几何尺寸之间的关系。根据共振频率方程计算了阶梯型径向聚能器的共振频率。为作比较，还采用数值方法得到了阶梯型径向聚能器的共振频率。结果表明，这两种方法得到的共振频率吻合良好。
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