弯曲振动复合楔形超声聚能器的设计  

Design of the composite wedge-shaped ultrasonic concentrator in flexural vibration

作　　者：文仕豪 许龙 朱怀球 吴德林 高申平 王萧博 姚磊 WEN Shiha;XU Long;ZHU Huaiqiu;WU Delin;GAO Shenping;WANG Xiaobo;YAO Lei(College of Science,China Jiliang University,Hangzhou 310018,China;Zhejiang Institute of Quality Sciences,Hangzhou 310018,China;Key Laboratory of Acoustics and Vibration Applied Measuring Technology,State Administration for Market Regula tion,Hangzhou 310018,China;Key Laboratory of Acoustics and Vibration Precision Measuring Technology of Zhejiang Province,Hangzhou 310018,China)

机构地区：[1]中国计量大学理学院,杭州310018 [2]浙江省质量科学研究院,杭州310018 [3]国家市场监督管理总局重点实验室(声学振动应用测量技术),杭州310018 [4]浙江省声学振动精密测量技术研究重点实验室,杭州310018

出　　处：《应用声学》2024年第6期1366-1374,共9页Journal of Applied Acoustics

基　　金：国家自然科学基金项目(12074354);市场监督管理总局计划项目(2022MK046,KJLJ202310);浙江省重点研发计划项目(2022C01002);浙江省基础公益计划项目(LGF22A040005,TGC23A040003);浙江省市场监督管理局科技计划项目(CY2022001,CY2022216,ZD2024007)。

摘　　要：为了建立楔形变截面弯曲超声振动系统的设计理论,该文基于Timoshenko梁弯曲振动理论,推导了复合楔形超声聚能器的弯曲振动共振频率方程和放大系数解析表达式。利用解析理论模型和有限元仿真对复合楔形聚能器的前4阶弯曲振动特性进行了计算分析。结果表明:复合楔形超声聚能器的高度比和长度比对各阶弯曲共振频率和放大系数均有较大的影响;解析理论计算的聚能器的各阶弯曲共振频率和位移放大系数与有限元仿真结果一致,两种方法计算的聚能器的各阶弯曲共振频率相对误差均小于3%。由此表明该解析理论模型具有较高的理论计算精度。最后,设计并制作了复合楔形聚能器实验样品并对其一阶共振频率实验测试,实验测试结果与理论计算结果和有限元仿真结果吻合较好。该文研究结果为弯曲振动复合楔形超声振动系统的工程设计提供解析理论参考。In order to establish the design theory of a wedge-shaped vibrating ultrasonic system,based on the Timoshenko beamflexural vibration theory,this paper derives theflexural vibration resonance fre-quency equation and amplification coefficient expression of the composite wedge-shaped ultrasonic concentrator.Theflexural vibration characteristics of the composite wedge-shaped concentrator up to the fourth order are calculated and analyzed using the proposed theoretical model andfinite element simulation.The results show that the height ratio and length ratio of the composite wedge-shaped ultrasonic concentrator have significant effects on theflexural resonance frequencies and amplification coefficients at each order.Theflexural resonance frequencies and displacement amplification coefficients calculated by the theoretical model are consistent with the results offinite element simulation.The relative error of theflexural resonance frequencies calculated by both methods are less than 3%,indicating that the proposed analytical theoretical model has high accuracy.The composite wedge-shaped ultrasonic concentrator was made for experimental testing of its resonant frequency,the test results are relatively consistent with the theoretical calculations andfinite element simulation results.The research results of this paper provide theoretical references for the engineering design offlexural vibration composite wedge-shaped ultrasonic vibration systems.

关 键 词：TIMOSHENKO梁理论 弯曲振动 传递矩阵 有限元仿真 

分 类 号：O426.1[理学—声学]