不等前角变螺旋圆弧立铣刀瞬时铣削力建模与系数标定方法

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中图分类号：TH161 DOI：10.3969/j.issn.1004-132X.2025.04.004

Instantaneous Milling Force Modeling and Coefficient Calibration Method of Variable Helical Circular-arc End Mills with Unequal Rake Angle

QI Shutao LI Jiaqi ZHENG Shucai XU Jinting SUN Yuwen* School of Mechanical Engineering，Dalian University of Technology，Dalian，Liaoning，

Abstract：Variable helical end mills with unequal rake angle maight effectively suppress milling chatters，which significantly improved the machined surface quality and simultaneously reduced the risk of tool breakages，however，due to the unequal geometric parameters of each cuttng edge，the existing models had dificulty to accurately predict the cuting forces，hence，a new instantaneous milling force modeling and coefficient calibration method were proposed. Firstly，the geometry and position relational expression of the cuting edges for variable helical circular-arc end mills were given， then considering the tool runout and variation of geometrical parameters of cutting edges，an instantaneous uncut chip thickness calculation and element cuting force prediction model was established; Subsequently，a nonlinear optimization method to simultaneously calibrate the cutting force coefficients and tool runout parameters was proposed，and an efcient algorithm for solving the model parameter initial values was also given based on linear least squares and oblique cutting theory. The experimental results show that the amplitude and waveform of predicted cutting forces are consistent with the measured ones with errors of less than 15% ，verifying the effectiveness of the proposed model.

Key words： unequal rake angle; variable helix end mill; flank milling； milling force;cutting force coefficient identification

0 引言

变螺旋铣刀因其优异的抑振性能而在航空航天等领域结构件的加工中得到广泛应用[1]。（剩余10932字）