变截面径向变幅器的耦合振动研究  

Study on coupled vibration of variable section radial transformer

作　　者：王晓宇 林书玉[1] WANG Xiaoyu;LIN Shuyu(School of Physics and Information Technology,Shaanxi Normal University,Xi′an 710119,Shaanxi,China)

机构地区：[1]陕西师范大学物理学与信息技术学院,陕西西安710119

出　　处：《陕西师范大学学报（自然科学版）》2020年第3期107-111,共5页Journal of Shaanxi Normal University：Natural Science Edition

基　　金：国家自然科学基金(11674206,11874253)。

摘　　要：为增大辐射面积、提高辐射效率,提出了一种径向变截面径向变幅器。基于表观弹性法,对变幅器的耦合振动进行分析,推导了等效径向及纵向频率方程,进而研究了共振频率与厚度变化常数之间的关系,将COMSOL仿真结果与理论计算所得的共振频率进行对比,二者结果相吻合。基于数值法,得到了不同尺寸变幅器振动的模态振型及相对位移分布。结果表明:当纵向尺寸与径向尺寸可比拟时,变幅器的振动是一种耦合振动;保持径向尺寸不变,厚度变化常数增大,等效纵向共振频率减小。In order to increase the radiation area and improve the radiation efficiency,a variable-section radial transformer was proposed.Based on the apparent elastic method,the coupled vibration of the transformer was analyzed,and the equivalent radial and longitudinal frequency equations were derived.Then the relationship between the resonant frequency and the thickness variation constant was studied.The COMSOL simulation results were compared with the theoretically calculated resonance frequencies and good consistency was obtained.Based on the numerical method,the vibration modal modes and relative displacement distributions of the different size transformers were obtained.The results show that the vibration of the transformer is a coupled vibration when the longitudinal dimension is comparable to the radial dimension.Keeping the radial dimension constant,the thickness variation constant increases,and the equivalent longitudinal resonance frequency decreases.

关 键 词：变截面 变幅器 耦合振动 频率方程 

分 类 号：O426.1[理学—声学]