基于三角级数展开的铣削合力频谱推导及刀具偏心估算

摘要/Abstract

摘要：

基于一元切削力机理模型将立铣刀的切削合力分解为公称力和偏心力，采用周期信号的三角级数展开公称力和偏心力，得到其谐波幅值和相位的表达式。基于以上表达式,推导出偶数齿刀具偏心力的偶数次谐波幅值为0，三齿刀具偏心力的刀齿频率谐波幅值也为0。提出了一种用切削合力的主轴和刀齿频率谐波估算刀具偏心距和偏心角的方法，实验结果表明,采用该方法计算出的偏心值接近实测值。从理论上证明了偶数齿刀具的偏心力不存在偶数次谐波成分，所提出的估算方法只需一套估算式和一次切削实验，且数值计算比较容易。研究结果可用于偶数齿刀具的加工过程偏心和磨损辨识及其偏心量估算。

关键词: 铣刀, 偏心, 铣削力, 频谱

Abstract:

The cutting force was discomposed into nominal and eccentric component forces based on unary cutting force model,the trigonometric series of periodic signals was applied to expand these two component forces，and then the amplitude and phase expressions of their harmonics were obtained. Based on these expressions,it is deduced that the even-harmonics amplitudes of the eccentric force for even-tooth milling cutter are zero,the tooth-frequency amplitude of the eccentric force for 3 teeth milling cutters is zero too, and a new estimation method of eccentric distance and angle for milling cutters was presented, which uses the harmonics of resultant cutting force in spindle and tooth frequencies, the estimated eccentric values are close to that measured in experiments.It testifies in theory that there are no even harmonics in the eccentric component force of even-tooth milling cutters, the presented method needs only one set of equation and one cutting test, and its numerical calculation is rather easy for even-tooth milling cutters. The research fruits can be used to identify eccentricity and wear, and estimate eccentricity in process for even-tooth milling cutters.

Key words: milling cutter, eccentricity, milling force, frequency spectrum

中图分类号:

TH161

刘璨, 吴敬权, 刘焕牢, 谭光宇. 基于三角级数展开的铣削合力频谱推导及刀具偏心估算[J]. 中国机械工程, 2016, 27(02): 246-250,272.

Liu Can, Wu Jingquan, Liu Huanlao, Tan Guangyu. Spectral Derivation of Resultant Milling Force and Eccentric Estimation of Tool Based on Trigonometric Series Expansion[J]. China Mechanical Engineering, 2016, 27(02): 246-250,272.

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