ESTIMATION OF CUTTING FORCE MODEL COEFFICIENTS WITH REGULARIZED INVERSE PROBLEM
ESTIMATION OF CUTTING FORCE MODEL COEFFICIENTS WITH REGULARIZED INVERSE PROBLEM
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DOI：
10.2478/amst-2013-0012
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发表时间：
2013-03
期刊：
影响因子：
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通讯作者：
P. Pawełko;B. Powałka;S. Berczyński
中科院分区：
文献类型：
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作者：
P. Pawełko;B. Powałka;S. Berczyński
本文提出了一种估计切削力模型系数的方法。该方法利用正则化总最小二乘从测量的加速度信号和频响函数（FRF）矩阵中识别切削力。提出了一种新颖的基于切削力谐波分量关系的正则化方法。数值试验验证了该方法的有效性。将该方法与非正则化方法和常见的吉洪诺夫正则化结合GCV和l曲线方法进行了比较。结果表明，与非正则化方法和常规正则化方法相比，该方法能更准确地估计出切削力系数。进一步研究了加速度测量误差、频响矩阵误差和频响矩阵调理对估计系数精度的影响。结果表明，频响矩阵误差对结果的精度影响最大。
In this paper, a method for estimation of cutting force model coefficients is proposed. The method makes use of regularized total least squares to identify the cutting forces from the measured acceleration signals and the frequency response function (FRF) matrix. An original regularization method is proposed which is based on the relationship between the harmonic components of the cutting forces. Numerical tests are performed to evaluate the effectiveness of the method. The method is compared with unregularized methods and common Tikhonov regularization combined with GCV and L-curve methods. It was found that the proposed method provides more accurate estimates of the cutting force coefficcients than the unregularized method and common regularization techniques. Furthermore the influence of acceleration measurement errors, FRF matrix errors and FRF matrix conditioning on the accuracy of the estimated coefficients is investigated. It was concluded that FRF matrix errors influence the most the accuracy of the results.