基于传递矩阵法的夹心式换能器固有频率分析  

Transfer Matrix Method for Natural Frequency Analysis of Sandwich Transducer

作　　者：邓韬 卢钰仁 DENG Tao;LU Yu⁃ren(CHN Energy Electric Power Research Institute Co.,Ltd Chengdu Branch,Chengdu 610000,China;School of Mechanical and Vehicle,Beijing Institute of Technology,Beijing 100081,China)

机构地区：[1]国电科学技术研究院有限公司成都分公司,四川成都610000 [2]北京理工大学机械与车辆学院,北京100081

出　　处：《仪表技术与传感器》2020年第5期88-92,共5页Instrument Technique and Sensor

基　　金：国家联合重点自然科学基金资助项目(U1737203);国家自然科学基金资助项目(51335001)。

摘　　要：文中研究了传递矩阵法,实现了对夹心式换能器固有频率的快速、准确分析。虽然夹心式换能器的结构参数是基于半波长理论得到的,但没有简单的方法来验证其固有频率,这可能导致换能器工作效率降低。首先,通过等效和离散化,使连续弹性体成为由多个无质量弹簧截面和质量集中块组成的多自由度系统。其次,通过推导系统矩阵得到系统的固有频率。最后,与有限元法和脉冲激励法的计算结果进行了比较,证明了传递矩阵法可以用来分析夹层式换能器的固有频率。In this paper,the transfer matrix method was studied to achieve a fast and accurate analysis of the natural frequen⁃cy of a sandwich transducer.Although a sandwich transducer gets its structural parameters based on the half⁃wavelength theory,there is no easy way to verify its natural frequency,which may cause the transducer to work less efficiently.Firstly,the continuous elastic body became a multi⁃degree⁃of⁃freedom system consisting of a plurality of massless spring sections and mass⁃concentrated blocks after equivalence and discretization.Secondly,the system􀆳s natural frequency was obtained after deriving the system matrix.Finally,it was compared with the results obtained by the finite element method and the pulse excitation method.It is proved that the transfer matrix method can be used to analyze the natural frequency of the sandwich transducer.

关 键 词：夹心式换能器 传递矩阵法 固有频率 离散 

分 类 号：TB553[理学—物理]