为优化楔形超声切割刀的工程设计理论,基于变截面弹性体的波动方程,推导了楔形超声刀的等效电路模型.利用等效电路法、有限元法分别计算了楔形超声切割刀的谐振频率和放大系数,根据计算结果设计并制造了相应的实验样品.测试了实验样品的谐振频率、位移放大系数等关键参数.结果表明:楔形超声切割刀的等效电路为非互易二端口等效网络,共振频率的理论计算结果与实验测试结果之间的相对误差小于 5%,等效电路法、有限元法和实验测试所得楔形超声切割刀的共振频率和放大系数结果一致.楔形切割刀的有效机电耦合系数随着纵向尺寸的增大而减小,其位移放大系数随着纵向尺寸增大而增大.研究结果为楔形超声切割刀的工程设计提供了简明理论和设计模型.
In order to optimize the engineering design theory of wedge ultrasonic cutter,the equivalent circuit model of wedge ultrasonic cutter is derived based on the wave equation of variable cross-section elastomer.The resonant frequency and amplification coefficient of the wedge ultrasonic cutting tool are calculated by the equivalent circuit method and the finite element method.According to the calculation results,the corresponding experimental samples are designed and manufactured.The key parameters such as resonant frequency and displacement amplification coefficient of the experimental samples were tested.The results show that the equivalent circuit of the wedge-shaped ultrasonic cutting tool is a non-reciprocal two-port equivalent network.The relative error between the theoretical calculation result of the resonance frequency and the experimental test result is less than 5%.The results of resonance frequency and amplification coefficient of the wedge-shaped ultrasonic cutting tool obtained by the equivalent circuit method,the finite element method and the experimental test are consistent.The effective electromechanical coupling coefficient of the wedge cutter decreases with the increase of the longitudinal size,and the displacement amplification coefficient increases with the increase of the longitudinal size.The results provide a concise theoretical design and analysis model for engineering design of wedge ultrasonic cutter.
叶清渝;许龙
中国计量大学理学院,浙江杭州 310018中国计量大学理学院,浙江杭州 310018||浙江省智能制造质量大数据溯源与应用重点实验室,浙江杭州 310018
超声切割;等效电路;共振频率;放大系数
ultrasonic cutting;equivalent circuit;resonance frequency;amplification coefficient
《陕西师范大学学报（自然科学版）》 2024 (002)
27-34 / 8
国家自然科学基金(12074354)
10.15983/j.cnki.jsnu.2024302
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