超声珩齿圆锥形变幅器动力学特性

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为获取非谐振单元超声珩齿变幅器动力学特性,根据Mindlin理论及建立的变幅杆和中厚圆环板的力耦合条件,推导了变幅器的频率方程和位移振幅方程,利用MATLAB软件求出了变幅器设计参数和位移振幅的数值解。有限元分析及动力学实验得到的谐振频率和位移振幅与数值解一致。 In this paper,to obtain the dynamics characteristics of non-resonance structure in ultrasonic gear honing,the frequency equations and displacement amplitude equations of the transformer were derived by means of Mindlin’s theory and force coupling conditions of the cone horn and moderately thick annular plate.Then,the numerical solutions of the design parameters and displacement amplitudes for transformer were solved by using MATLAB software.The results from finite element analysis（FEA） and dynamical experiment are consistent with the numerical solutions proposed in this paper.