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基于Mindlin理论新型杯形复合超声变幅杆的设计与研究

Study and design and a new type of cup-shaped compound ultrasonic horn based on Mindlin theory
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摘要 基于Mindlin中厚板弯曲振动理论和耦合振动理论,设计了由三段复合变幅杆、中厚圆盘、大尺寸圆筒组成的新型杯形工具复合变幅杆。对所设计的变幅杆用有限元软件在静力学分析基础上进行模态、谐响应分析,研究了各几何参量对杯形工具复合变幅杆谐振频率的影响规律,并通过实验进行测试。结果表明:理论计算、有限元分析、实验测试结果基本一致;变幅杆谐振频率随着底厚的增加而增大,随着杯形头壁高、内径的增大而减小,表明所设计变幅杆结构合理、振动效果良好,为超声辅助加工技术特别是硬脆材料曲面高精度加工提供了一种新型超声杯形复合变幅杆。 A new type of cup-shaped tool composed of three composite horn,medium-thick disc and large-size cylinder is designed based on Mindlin theory of mid-thick plate bending vibration and coupled vibration.The modal and harmonic responses of the Horn are analyzed on the basis of static analysis.The influence of geometric parameters on the resonant frequency of the Composite Horn of cup-shaped tool is studied and is tested by experiment.The results show that the resonance frequency of the Horn increases with the increase of the base thickness and decreases with the increase of the cup-shaped head wall height and the inner diameter,the results show that the structure of the Horn is reasonable and the vibration effect is good.It provides a new kind of compound horn with ultrasonic cup-shaped tool for ultrasonic aided machining,especially for high precision machining of hard and brittle surface.
作者 朱佳 袁金霖 高雨婷 张宁宁 Zhu Jia;Yuan Jinlin;Gao Yuting;Zhang Ningning(Physical and elec trical engineering institute,Weinan Teachers University,Weinan Shaanxi,714099)
出处 《电子测试》 2021年第19期10-13,共4页 Electronic Test
基金 陕西省大学生创新创业训练计划项目“新型模式转换大功率超声振动系统的设计与研究(S202010723055)” 渭南师范学院大学生创新项目(2020XK048) 陕西省教育厅自然科学专项(18JK0284)。
关键词 Mindlin中厚板弯曲振动理论 耦合振动理论 谐振频率 Mindlin theory of plate bending vibration coupled vibration theory resonance frequency
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