Compensation of machining errors of Bspline and Cspline

Msaddek, El Bechir; Baili, Maher; Bouaziz, Zoubeir; Dessein, Gilles

doi:10.1007/s00170-018-2160-1

Cited by 8 publications

(4 citation statements)

References 11 publications

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“…Therefore, it is extremely necessary to improve its machining accuracy [3]. Error compensation [4][5][6][7] is an effective technique to achieve high accuracy with low cost, and the geometric error is systematic and measurable [8][9][10].…”

Section: Introductionmentioning

confidence: 99%

Modeling of CNC machine tools’ spatial geometric error based on two-dimensional angle error

et al. 2022

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A modeling method of CNC machine tools’ spatial geometric error is proposed based on two-dimensional angle error in this paper. Different from traditional modeling method, this method takes into account the effect of additional angle errors because the machine tool’s angle errors in the system of the lower guide rail will be passed on to slip board structure to the upper guide rail system. Firstly, after analyzing the principle of two-dimensional angle error, an optimized error compensation model of CNC machine tools’ spatial geometric error contains two-dimensional angle error is established through the traditional homogeneous coordinate transformation matrix method (HTM). Further, by applying the experiment, the compensation effect of the model is verified through comparing the body diagonal errors of CNC machine tools before and after compensation. Experiment results show that the body-diagonal accuracy after compensation based on the optimized model is 87.73% higher than that before compensation, and 54.82% higher than that of the traditional model after compensation. Article Highlights The highlight of the study reported here is threefold: Firstly, the principle of two-dimensional angle error is analyzed. Secondly, an optimized spatial geometric error compensation model of CNC machine tool is established based on the principle of two-dimensional angle error. Thirdly, the compensation effect of the optimized compensation model is verified by comparing the bodies diagonal precision of the machine tool.

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Section: Introductionmentioning

confidence: 99%

Modeling of CNC machine tools’ spatial geometric error based on two-dimensional angle error

et al. 2022

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“…Ben Makhlouf et al (Ben Makhlouf et al 2019) have developed an approach based on the B-Spline formulation for rebuilding the CAD model entities (faces, edges and vertices) from those extracted from the deformed mesh (triangulations, arcs, nodes). The authors (Msaddek et al 2018(Msaddek et al , 2017 have studied Bspline and Cspline interpolations, machining errors generated and a compensation method of errors in previous papers without a critical study of the influence of this approach on the manufacturing process.…”

Section: Introductionmentioning

confidence: 99%

Influence of the compensation method of machining errors of Bspline and Cspline

Msaddek

Baili

Bouaziz

et al. 2021

International Journal of Computer Integrated Manufacturing

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Contemporary advances in manufacturing are moving towards the diversification of interpolation methods in Computer Aided Manufacturing (CAM) softwares thanks to the growing need of freeforms of high quality. New interpolations such as 'Bspline' and 'Cspline' provide accurate toolpaths, but they generate significant machining errors. The nodes insertion technique is one of compensation methods of those errors. This paper presents a study of the influence of this compensation method on the manufacturing process: dynamic behavior of machine-tools, errors of controller, and surface quality. To make this study, Bspline and Cspline interpolations, errors generated, and the compensation method are defined. In addition to that, feed rate, cycle time and roughness before and after compensation are measured in order to exanimate the impact of the nodes insertion method. The present work aims to deliver a framework that demonstrates how manufacturing companies with such specific parameters optimization can improve smartness and machining efficiency.

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“…Zhong et al [12] established the error of kinematics synthesis model and used the model to compensate the x-axis and z-axis positioning errors of a four-axis polishing machine. Msaddek et al [13] presented a method of compensation by the insertion of the nodes to reduce the errors caused by the Bspline and Cspline interpolations on the machining surface. Chen [14] used an artificial neural network to predict the thermal error and used a PC-based controller to send the compensation information to the CNC controller to perform real-time error compensation.…”

Section: Introductionmentioning

confidence: 99%

Automatic Error Compensation for Free-Form Surfaces by Using On-Machine Measurement Data

Lee

Wei

2019

Applied Sciences

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Currently, most computer numerical control (CNC) controllers lack the function needed to compensate machining errors for free-form surfaces. The objective of this research was to enhance the accuracy and precision of the machined free-form surfaces of a workpiece using the mirror compensation method with the on-measurement data. By mirroring the points measured after semi-finishing, a new free-form surface for finishing machining can be automatically reconstructed. The surface can then be used to generate the cutting tool path to reduce the errors during finishing machining. In this research, three different types of surfaces were used for evaluating the proposed method. The results show that the proposed method reduced the standard deviations of the three surface geometries by 61%, 61%, and 32%, respectively. We also evaluated the tool radius modification method commonly used in the industry for error compensation and found that there is no substantial reduction on standard deviation. Therefore, the effectiveness of the error compensation method proposed in this research is evident.

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Compensation of machining errors of Bspline and Cspline

Cited by 8 publications

References 11 publications

Modeling of CNC machine tools’ spatial geometric error based on two-dimensional angle error

Modeling of CNC machine tools’ spatial geometric error based on two-dimensional angle error

Influence of the compensation method of machining errors of Bspline and Cspline

Automatic Error Compensation for Free-Form Surfaces by Using On-Machine Measurement Data

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