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基于Mindlin理论的新型模式转换超声振动系统设计与研究

Study and Design a New Mode Conversion Ultrasonic Vibration System Based on Mindlin Theory
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摘要 基于波的纵振动理论和Mindlin厚板弯曲振动理论,设计研究了由三段复合变幅杆、中厚圆盘、大尺寸圆筒组成的新型模式转换超声振动系统。对所设计的振动系统进行数值计算和有限元模态和谐响应分析,同时研究各几何参量对振动系统谐振频率的影响规律,并通过实验进行测试。结果表明:设计结果和有限元分析及测试结果之间的误差较小;系统谐振频率随着圆盘厚度的增加而增大,随着变幅杆大小端半径的增加而增加;随着变幅杆各段长度、圆管段高、内径的增大而减小。研究结果验证了所建立的新型超声振动系统谐振频率方程的正确性,所设计系统的结构合理、振动效果良好,为谐振频率的修正提供了依据,也为超声辅助加工技术特别是硬脆材料曲面的高精度加工提供了一种新型超声振动系统。 The design and study of a new ultrasonic vibration system composed of a three-stage composite amplitude change rod,a medium thick disc and a large size cylinder are carried out based on the theory of longitudinal vibration of thin rod and the theory of bending vibration of Mindlin plate.The numerical calculation and finite element modal harmonic response analysis of the designed vibration system are carried out.The influence of various geometric parameters on the resonant frequency of the system is also studied.The results show that the error of the design results and the finite element analysis and the test results is small.The resonant frequency of the system increases with the increase of the thickness of the disc.As the length of the horn increases with the increase of the radius of the amplitude of the horn,the experimental results verify the correctness of the resonant frequency equation of the new ultrasonic vibration system.The design system has a reasonable structure and good vibration effect.It provides a basis for the modification of the resonant frequency of the ultrasonic vibration system,and provides a new ultrasonic vibration system for the ultrasonic auxiliary processing technology,especially the high precision machining of the curved surface of the hard brittle material.
作者 张宁宁 朱佳 袁金霖 ZHANG Ningning;ZHU Jia;YUAN Jinlin(Physical and Electrical Engineering Institute,Weinan Teachers University,Weinan 714099,China)
出处 《电加工与模具》 2021年第5期63-68,共6页 Electromachining & Mould
基金 陕西省教育厅自然科学专项(18JK0284) 陕西省大学生创新创业训练计划项目(S202010723055) 渭南师范学院大学生创新项目(2020XK048)。
关键词 Mindlin厚板弯曲振动理论 频率方程 谐振频率 theory of bending vibration of mindlin plate frequency equation resonant frequency
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