Abstract
In this paper, the mathematical model with two associated coordinates is established for two-dimension ultrasonic vibration group system by impedance analysis, and natural frequency equation of 2D vibration system is deduced by which the influence of natural frequency change of individual components on the natural frequency of group system is analyzed. Amplitude-frequency characteristics of system were tested which verified the correctness of the theory. In simulation experiment on large plate under two-dimensional ultrasonic vibration grinding, superimposed tracks of a number of irregular ovals exist in vibrating plane, that is different from previous research that only one simply oval track exists in the vibrating plane apparently. The results supply a reliable theoretical and experimental basis for the further discussions on the abrasive removal mechanism under two-dimensional ultrasonic vibration.
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