Analysis of thermal error model of ball screw feed system based on experimental data

Yang, Jiancheng; Li, Changyou; Xu, Ming; Zhang, Yimin

doi:10.1007/s00170-022-08752-w

Cited by 8 publications

(3 citation statements)

References 36 publications

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“…Although the steady-state temperature eld modeling takes various parameters into consideration comprehensively, and the obtained steady-state temperature solution is more accurate, but it cannot describe the dynamic change process of the temperature eld. Sheng et al built a ball screw temperature eld model through theoretical modeling, nite element and data-driven methods, and regarded the screw nut pair as a moving heat source to obtain the transient temperature eld distribution of the screw under speci c working conditions [23][24][25][26]. However, the change of the moving heat source is the change of the position of the heat source rather than the change of the intensity of the heat source, which cannot truly re ect the change of the internal heat generation rate of the heat source and cannot completely obtain the time-varying characteristics of the temperature eld.…”

Section: Introductionmentioning

confidence: 99%

Time-varying thermoelastic coupling analysis of heat source of ball screw feed drive system

Wu,

Li,

Liu

et al. 2023

Int J Adv Manuf Technol

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Friction heat generation of ball screw nut pair may lead to changes in the contact state between ball and raceway. Different contact states may result in a change in the intensity of the heat source of the nut pair, which in turn affects the contact state again until a certain balance is reached. At present, the timevarying research of the heat source of the screw nut pair is mainly carried out from the boundary conditions and the location of the heat source, without considering the in uence of the internal structure change of ball screw nut pair. In order to ll this gap, a time-varying thermoelastic coupling analysis method for heat source of screw nut pair is proposed. In this paper, the contact model of ball and raceway is established by the elastic theory of plane strain, and the theoretical solution of the contact point displacement of ball raceway under thermal in uence is derived by combining with the thermoelastic theory. Then, through the method of polygon equivalence of ball and raceway pro le, the contact angle variation process of ball and raceway under the coupling effect of heat and structure was described geometrically, and the variation rule of heat source intensity was further obtained. In addition, the nut temperature variation rule was obtained through the temperature eld experiment of the screw nut pair. The temperature variation curve of the nut pair under heat source induction in the actual working condition was tted after the temperature drop data and the ambient temperature data were processed. By comparing the theoretical temperature variation curve under constant heat source induction, the heat source variation curve of the nut pair under the actual working condition was nally tted. The correctness of the thermoelastic theory analysis is further veri ed. The method proposed in this paper analyzes the variation law of the heat source intensity from both theoretical and experimental perspectives, which has important reference signi cance for the study of the thermal characteristics of the ball screw system.

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Section: Introductionmentioning

confidence: 99%

Time-varying thermoelastic coupling analysis of heat source of ball screw feed drive system

Wu,

Li,

Liu

et al. 2023

Int J Adv Manuf Technol

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show abstract

“…In order to reduce processing thermal error and maintain low cost, a thermal error compensation system is derived. The temperature of key parts of equipment is monitored by sensors, and the transient compensation value is determined by using the compensation model [33,34]. This method has the advantages of high compensation accuracy and low cost, but the adaptability of this method is not strong, and the precision required for multi working conditions is signi cantly reduced.…”

Section: Introductionmentioning

confidence: 99%

Time-varying thermoelastic coupling analysis of heat source of ball screw feed drive system

Wu¹,

Li²,

Liu³

et al. 2023

Preprint

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Friction heat generation of ball screw nut pair may lead to changes in the contact state between ball and raceway. Different contact states may result in a change in the intensity of the heat source of the nut pair, which in turn affects the contact state again until a certain balance is reached. At present, the time-varying research of the heat source of the screw nut pair is mainly carried out from the boundary conditions and the location of the heat source, without considering the influence of the internal structure change of ball screw nut pair. In order to fill this gap, a time-varying thermoelastic coupling analysis method for heat source of screw nut pair is proposed. In this paper, the contact model of ball and raceway is established by the elastic theory of plane strain, and the theoretical solution of the contact point displacement of ball raceway under thermal influence is derived by combining with the thermoelastic theory. Then, through the method of polygon equivalence of ball and raceway profile, the contact angle variation process of ball and raceway under the coupling effect of heat and structure was described geometrically, and the variation rule of heat source intensity was further obtained. In addition, the nut temperature variation rule was obtained through the temperature field experiment of the screw nut pair. The temperature variation curve of the nut pair under heat source induction in the actual working condition was fitted after the temperature drop data and the ambient temperature data were processed. By comparing the theoretical temperature variation curve under constant heat source induction, the heat source variation curve of the nut pair under the actual working condition was finally fitted. The correctness of the thermoelastic theory analysis is further verified. The method proposed in this paper analyzes the variation law of the heat source intensity from both theoretical and experimental perspectives, which has important reference significance for the study of the thermal characteristics of the ball screw system.

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“…Zhang et al 12 established the prediction models for the positioning error of ball screws based on mounting conditions. Yang et al 13 proposed the thermal expansion mathematic model of screw shaft in the axial direction using the Fourier series expansion method with relative errors under 14%. Prasad and Kamala 14 calculated the thermal deformations of the feed motor assembly in X and Z -axis directions using a theoretical heat transfer approach.…”

Section: Introductionmentioning

confidence: 99%

XGBoost-based thermal error prediction and compensation of ball screws

Gao

Zhang

Wang

et al. 2023

Proceedings of the Institution of Mechanical Engineers, Part B:

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The ball screw is an essential component in feed drive systems whose accuracy is seriously affected by machine tool internal and external heat sources. In this paper, a thermal error compensation method for ball screws is proposed based on the extreme gradient boosting (XGBoost) algorithm and thermal expansion principle. An XGBoost predictive model is established using the time series temperature data collected from thermal characteristics experiments. Furthermore, the predictive performance between the XGBoost algorithm and BP neural network is compared to validate the effectiveness and robustness of the proposed model. The results show that the XGBoost model has better predictive performance. Based on this, the temperature of key points on the ball screw can be obtained, and thermal error (which is useful for pulse compensation) is predicted. Simultaneously, thermal error compensation experiments are carried out on the ball screw bench with average results of more than 45%. The presented thermal error compensation method proved effective and can provide a foundation for precision machining.

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Analysis of thermal error model of ball screw feed system based on experimental data

Cited by 8 publications

References 36 publications

Time-varying thermoelastic coupling analysis of heat source of ball screw feed drive system

Time-varying thermoelastic coupling analysis of heat source of ball screw feed drive system

Time-varying thermoelastic coupling analysis of heat source of ball screw feed drive system

XGBoost-based thermal error prediction and compensation of ball screws

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