Design of a longitudinal bending resonance system for gear forming grinding based on the local resonance theory

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Journal of Vibration and Shock ›› 2021, Vol. 40 ›› Issue (18) : 15-24.

GUO Xingchen，ZHAO Bo，YIN Long，BIE Wenbo，WANG Xiaobo

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Abstract

In order to obtain the effective design method for an ultrasonic tooth grinding longitudinal bending resonance system, based on the local resonance theory, the vibration system composed of a large-load forming grinding wheel disc in the grinding system was proposed and designed.According to the continuous conditions and boundary conditions between the vibration units, the theoretical model and frequency equation of the longitudinal bending resonance system were established according to the integrated design idea.Based on the theoretical model, the analysis softwares MATLAB and ANSYS were used to design and optimize the size parameters of each part of the system, and the finite element modal analysis, impedance analysis experiment and ultrasonic resonance test were carried out.The simulation and test results show that the system resonance effect and mode shape curves observed are relatively stable, the amplitude value is consistent with the expected result of the theoretical simulation, and the errors between the measured resonance frequency, the design frequency and the simulation frequency of the system maintain within 5%, which is of good design accuracy.Therefore, the feasibility and accuracy of the design method for the longitudinal bending resonance system of the grinding wheel disk based on the local resonance design theory are effectively verified.

Key words

local resonance theory / longitudinal bending resonance / ultrasonic grinding teeth / forming grinding wheel

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GUO Xingchen，ZHAO Bo，YIN Long，BIE Wenbo，WANG Xiaobo. Design of a longitudinal bending resonance system for gear forming grinding based on the local resonance theory[J]. Journal of Vibration and Shock, 2021, 40(18): 15-24

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