Integrated geometric and thermal error modeling and compensation for vertical machining centers

Li, Zihan; Yang, Jing; Fan, Kaiguo; Zhang, Yi

doi:10.1007/s00170-014-6336-z

Cited by 40 publications

(16 citation statements)

References 18 publications

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“…The other error sources such as loads, dynamic forces, motion control, and the control software, account for a small portion of the positioning error. Therefore, only the geometric error term and the thermal error term are taken into account when the model of the positioning error is built [ 19 , 28 , 29 , 30 ]. The geometric error term together with the thermal error term can be easily measured by a laser interferometer.…”

Section: Modeling Of Thermal Positioning Errormentioning

confidence: 99%

Thermal Positioning Error Modeling of Servo Axis Based on Empirical Modeling Method

Shi

et al. 2021

Micromachines

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In order to investigate the thermal effect of a servo axis’ positioning error on the accuracy of machine tools, an empirical modeling method was proposed, which considers both the geometric and thermal positioning error. Through the analysis of the characteristics of the positioning error curves, the initial geometric positioning error was modeled with polynomial fitting, while the thermal positioning error was built with an empirical modeling method. Empirical modeling maps the relationship between the temperature points and thermal error directly, where the multi-collinearity among the temperature variables exists. Therefore, fuzzy clustering combined with principal component regression (PCR) is applied to the thermal error modeling. The PCR model can preserve information from raw variables and eliminate the effect of multi-collinearity on the error model to a certain degree. The advantages of this modeling method are its high-precision and strong robustness. Experiments were conducted on a three-axis machine tool. A criterion was also proposed to select the temperature-sensitivity points. The fitting accuracy of the comprehensive error modeling could reach about 89%, and the prediction accuracy could reach about 86%. The proposed modeling method was proven to be effective and accurate enough to predict the positioning error at any time during the machine tool operation.

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Section: Modeling Of Thermal Positioning Errormentioning

confidence: 99%

Thermal Positioning Error Modeling of Servo Axis Based on Empirical Modeling Method

Shi

et al. 2021

Micromachines

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“…Thermal errors account for 70% of total errors among various error sources of machine tools in the 1990s, and even today, not much has changed in the industry. 4–9 In order to improve the positioning precision, thermal error compensation is a low cost method. 2,8,9 Thermally induced errors have characteristics of non-linearity and time-dependent nature due to no uniform temperature rise in machine tools.…”

Section: Introductionmentioning

confidence: 99%

Adaptive on-line compensation model on positioning error of ball screw feed drive systems used in computerized numerical controlled machine tools

Zhao

Zhang

2018

Proceedings of the Institution of Mechanical Engineers, Part B:

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The positioning error of ball screw feed systems is mainly caused by thermal elongation of the screw shaft in machine tools. In this article, an adaptive on-line compensation method of positioning error for the ball screw shaft is established. In order to explore the thermal–solid mechanism of ball screw feed drive systems, the experiments were carried out. An exponential fitting equation is presented to obtain the temperature relationship between the temperature sensitive point and its center of each heat source based on the finite element method of the feed drive system. Consequently, based on time and position exponential distribution functions, a variable separation model of heat transfer is established. Furthermore, based on the heat transfer model of multiple varying and moving heat sources, an adaptive on-line analytical compensation model of positioning error is presented. Finally, the effect of the adaptive on-line analytical compensation model of positioning error is verified through the experiments. And, this model has self-adaptive ability and robustness. Therefore, this adaptive on-line analytical compensation model based on the heat transfer theory can be applied in real-time compensation of positioning error.

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“…Related to processing error modeling and error compensation analysis of the CNC flame-cutting machine, although comprehensive effects of the overall error elements have not been reported in the existing literature, considering that the relative motion relationship is consistent during material removal in the machining process, it is known that homogeneous transformation matrices [10,11] of the CNC machine tool can still be adopted to construct error models of the workpiece and error compensation models of the machine tool for which only the related error elements need to be set up adaptively according to the topological structure.…”

Section: Introductionmentioning

confidence: 99%

Accuracy Enhancement with Processing Error Prediction and Compensation of a CNC Flame Cutting Machine Used in Spatial Surface Operating Conditions

Zhang

Cui

et al. 2017

J. Eng. Technol. Sci.

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Abstract. This study deals with the precision performance of the CNC flamecutting machine used in spatial surface operating conditions and presents an accuracy enhancement method based on processing error modeling prediction and real-time compensation. Machining coordinate systems and transformation matrix models were established for the CNC flame processing system considering both geometric errors and thermal deformation effects. Meanwhile, prediction and compensation models were constructed related to the actual cutting situation. Focusing on the thermal deformation elements, finite element analysis was used to measure the testing data of thermal errors, the grey system theory was applied to optimize the key thermal points, and related thermal dynamics models were carried out to achieve high-precision prediction values.Comparison experiments between the proposed method and the teaching method were conducted on the processing system after performing calibration. The results showed that the proposed method is valid and the cutting quality could be improved by more than 30% relative to the teaching method. Furthermore, the proposed method can be used under any working condition by making a few adjustments to the prediction and compensation models.

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Integrated geometric and thermal error modeling and compensation for vertical machining centers

Cited by 40 publications

References 18 publications

Thermal Positioning Error Modeling of Servo Axis Based on Empirical Modeling Method

Thermal Positioning Error Modeling of Servo Axis Based on Empirical Modeling Method

Adaptive on-line compensation model on positioning error of ball screw feed drive systems used in computerized numerical controlled machine tools

Accuracy Enhancement with Processing Error Prediction and Compensation of a CNC Flame Cutting Machine Used in Spatial Surface Operating Conditions

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