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  • Author: Bartosz Powałka x
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Abstract

This paper presents research on the accuracy and repeatability of CNC axis positioning in an innovative lathe with an additional Xs axis. This axis is used to perform movements synchronized with the angular position of the main drive, i.e. the spindle, and with the axial feed along the Z axis. This enables the one-pass turning of non-circular surfaces, rope and trapezoidal threads, as well as the surfaces of rotary tools such as a gear cutting hob, etc. The paper presents and discusses the interpretation of results and the calibration effects of positioning errors in the lathe’s numerical control system. Finally, it shows the geometric characteristics of the rope thread turned at various spindle speeds, including before and after-correction of the positioning error of the Xs axis.

Abstract

This article presents a process of developing a computational model of a light construction vertical lathe. The model is made using the finite elements method. Due to the complexity of the machine tool and the optimization of the computation time superelements have been used in the model. The application of this method has reduced the computation time allowing the analysis of many variants of the mutual position of the machine components. The results of the analyzes led to the indication of weak links of the machine tool. After the improvement of the machine tool construction the movement of the tool tip and the workpiece was much smaller.

Summary

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.