圆盘刀超声切削振动系统的振动频率数值拟合方法研究
2018-07-16
作者：张生芳，庞皓文，马付建，刘宇，沙智华，张文超
单位：大连交通大学
摘要：圆盘刀是超声切削NOMEX蜂窝芯材料的刀具之一，其几何参数直接影响超声切削振动系统的振动频率，进而影响超声切削的加工性能。根据刀具几何参数约束区间，确定振动频率数值模型拟合样本点，分别采用三种拟合方法对超声切削振动系统的振动频率进行数值拟合，并进行全区间拟合准确性对比检验。研究结果表明：采用二次多项式逐步回归法拟合出的方程在几何参数全区间内有更高的准确性，建立的振动频率数值模型可以为超声切削刀具几何参数优化的研究提供参考。
关键词：数值拟合；超声切削振动系统；圆盘刀；NOMEX蜂窝芯
中图分类号：TG506.5；TH161文献标志码：A
Study on Numerical Fitting Method of Vibration Frequency of Ultrasonic Cutting Vibration System
Zhang Shengfang，Pang Haowen，Ma Fujian，Liu Yu，Sha Zhihua，Zhang Wenchao
Abstract:The disc cutter is one type of the tools of ultrasonic cutting NOMEX honeycomb core material.The geometric parameters of the cutter directly affect the vibration frequency of the ultrasonic cutting vibration system，thus affect the machining performance of the ultrasonic cutting.The fitting sample points of the vibration frequency numerical model are determined according to the constraint interval of the tool′s geometric parameters.Three fitting methods are used to express the vibration frequency numerical model of the ultrasonic vibration system，and the accuracy of the whole interval is verified.The results show that the equation developed by quadratic polynomial stepwise regression method has higher accuracy in the whole interval of the geometric parameters，and the vibration frequency numerical model established can provide the design basis for the optimization of geometric parameters of ultrasonic cutter.
Keywords:numerical fitting；ultrasonic cutting vibration system；disc cutter；NOMEX honeycomb core