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2,279 Results Found

  • Review
  • Open Access
132 Citations
12,588 Views
16 Pages

A Review of Thermal Error Modeling Methods for Machine Tools

  • Yang Li,
  • Maolin Yu,
  • Yinming Bai,
  • Zhaoyang Hou and
  • Wenwu Wu

4 June 2021

Thermal error caused by thermal deformation is one of the most significant factors influencing the accuracy of the machine tool. Compensation is a practical and efficient method to reduce the thermal error. Among all the thermal error compensation pr...

  • Article
  • Open Access
9 Citations
3,343 Views
22 Pages

15 February 2021

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 c...

(This article belongs to the Section E: Engineering and Technology)
  • Review
  • Open Access
43 Citations
8,615 Views
16 Pages

A Review of Machine Learning-Based Thermal Error Modeling Methods for CNC Machine Tools

  • Sen Mu,
  • Chunping Yu,
  • Kunlong Lin,
  • Caijiang Lu and ,
  • Xi Wang,
  • Tao Wang and
  • Guoqiang Fu
  • + 2 authors+ 0 author

17 February 2025

Heat source-induced thermal error is a primary element influencing the precision of CNC machine tools. A practical and economical approach to mitigating thermal errors is through thermal error compensation. To provide a comprehensive understanding of...

(This article belongs to the Section Machines Testing and Maintenance)
  • Article
  • Open Access
2 Citations
1,426 Views
23 Pages

Machine Tool Spindle Temperature Field Parametric Modeling and Thermal Error Compensation

  • Geng Chen,
  • Lin Yuan,
  • Hui Chen,
  • Chengliang Dou and ,
  • Guangyong Ma,
  • Shuai Li and
  • Lai Hu
  • + 2 authors+ 0 author

16 December 2025

The development of modern machining and manufacturing industry puts forward higher requirements for the machining accuracy of machine tools. The thermal error of the machine tool spindle directly affects the accuracy of the machined workpiece. To imp...

(This article belongs to the Special Issue High Performance Machining and Surface Tribology)
  • Article
  • Open Access
11 Citations
4,285 Views
7 Pages

Macro Modeling of V-Shaped Electro-Thermal MEMS Actuator with Human Error Factor

  • Dongpeng Zhang,
  • Anjiang Cai,
  • Yulong Zhao and
  • Tengjiang Hu

The V-shaped electro-thermal MEMS actuator model, with the human error factor taken into account, is presented in this paper through the cascading ANSYS simulation model and the Fuzzy mathematics calculation model. The Fuzzy mathematics calculation m...

(This article belongs to the Special Issue MEMS/NEMS Sensors and Actuators)
  • Article
  • Open Access
1 Citations
921 Views
24 Pages

Hybrid-Mechanism Deep Learning Modeling for Machine Tool Thermal Error: Robust Prediction via Few-Sample Learning

  • Hongru Chen,
  • Yubin Huang,
  • Chaochao Qiu,
  • Xueyan Ning and ,
  • Pingjiang Wang and
  • Ke Yang
  • + 1 author+ 0 author

6 April 2026

To address spindle thermal error in precision machining, this study proposes a hybrid modeling method. It combines a physical model for linear deformation with a GAT-LSTM network. Experiments show the hybrid model achieved RMSE/MAE of 4.6/4.0 µ...

(This article belongs to the Special Issue Artificial Intelligence for Diagnosis, Detection, Monitoring and Maintenance)
  • Article
  • Open Access
42 Citations
3,899 Views
16 Pages

Research on Thermal Error Modeling of Motorized Spindle Based on BP Neural Network Optimized by Beetle Antennae Search Algorithm

  • Zhaolong Li,
  • Bo Zhu,
  • Ye Dai,
  • Wenming Zhu and ,
  • Qinghai Wang and
  • Baodong Wang
  • + 1 author+ 0 author

12 November 2021

High-speed motorized spindle heating will produce thermal error, which is an important factor affecting the machining accuracy of machine tools. The thermal error model of high-speed motorized spindles can compensate for thermal error and improve mac...

(This article belongs to the Special Issue Optimal Design of a High-Speed Motor)
  • Article
  • Open Access
12 Citations
3,544 Views
16 Pages

6 July 2022

The modeling and compensation method is a common method for reducing the influence of thermal error on the accuracy of machine tools. The prediction accuracy and robustness of the thermal error model are two key performance measures for evaluating th...

(This article belongs to the Topic Manufacturing Metrology)
  • Article
  • Open Access
5 Citations
3,017 Views
17 Pages

Thermal Error Transfer Prediction Modeling of Machine Tool Spindle with Self-Attention Mechanism-Based Feature Fusion

  • Yue Zheng,
  • Guoqiang Fu,
  • Sen Mu,
  • Caijiang Lu and ,
  • Xi Wang and
  • Tao Wang
  • + 1 author+ 0 author

15 October 2024

Thermal errors affect machining accuracy in high-speed precision machining. The variability of machine tool operating conditions poses a challenge to the modeling of thermal errors. In this paper, a thermal error model based on transfer temperature f...

(This article belongs to the Special Issue Error Measurement, Analysis, and Compensation Technology for CNC Machine Tools)
  • Article
  • Open Access
17 Citations
3,755 Views
18 Pages

19 May 2023

Establishing a mathematical model to predict and compensate for the thermal error of CNC machine tools is a commonly used approach. Most existing methods, especially those based on deep learning algorithms, have complicated models that need huge amou...

(This article belongs to the Topic Recent Advances in the Thermal Error of Precision Machine Tools)
  • Article
  • Open Access
5 Citations
2,270 Views
14 Pages

27 November 2023

For a fiber optic gyroscope, thermal deformation of the fiber coil can introduce additional thermal-induced phase errors, commonly referred to as thermal errors. Implementing effective thermal error compensation techniques is crucial to addressing th...

(This article belongs to the Section Optical Sensors)
  • Article
  • Open Access
15 Citations
3,918 Views
22 Pages

The thermal error of CNC machine tools can be reduced by compensation, where a thermal error model is required to provide compensation values. The thermal error model adaptive update method can correct the thermal error model by supplementing new dat...

(This article belongs to the Section Advanced Manufacturing)
  • Article
  • Open Access
2 Citations
4,718 Views
22 Pages

Five-axis machining centers are essential for manufacturing complex, high-precision parts. However, their accuracy is significantly affected by thermally induced geometric errors, also known as thermo-elastic errors. This paper presents a comprehensi...

  • Article
  • Open Access
11 Citations
3,764 Views
17 Pages

25 November 2021

Hydrostatic guideways are widely applied in ultra-precision machine tools, and motion errors undermine the machining accuracy. Among all the influence factors, the thermal effect distributes most to motion errors. Based on the kinematic theory and th...

(This article belongs to the Special Issue Advances in Ultra-Precision Machining Technology and Applications)
  • Article
  • Open Access
9 Citations
6,619 Views
22 Pages

A Thermal Skin Model for Comparing Contact Skin Temperature Sensors and Assessing Measurement Errors

  • Braid A. MacRae,
  • Christina M. Spengler,
  • Agnes Psikuta,
  • René M. Rossi and
  • Simon Annaheim

19 July 2021

To improve the measurement and subsequent use of human skin temperature (Tsk) data, there is a need for practical methods to compare Tsk sensors and to quantify and better understand measurement error. We sought to develop, evaluate, and utilize a sk...

(This article belongs to the Section Biomedical Sensors)
  • Article
  • Open Access
23 Citations
6,777 Views
16 Pages

16 January 2017

A clustering method is an effective way to select the proper temperature sensor location for thermal error modeling of machine tools. In this paper, a new temperature sensor clustering method is proposed. By analyzing the characteristics of the tempe...

  • Article
  • Open Access
23 Citations
5,250 Views
20 Pages

24 April 2023

The thermal error modeling technology of computer numerical control (CNC) machine tools is the core of thermal error compensation, and the machining accuracy of CNC machine tools can be improved effectively by the high-precision prediction model of t...

(This article belongs to the Special Issue Advanced Composite Materials: Microstructures and Mechanical Properties)
  • Article
  • Open Access
14 Citations
3,680 Views
26 Pages

30 March 2023

To better solve the problem of thermal error of computerized numerical control machining equipment (CNCME), a thermal error prediction model based on the sparrow search algorithm and long short-term memory neural network (SSA-LSTMNN) is proposed. Fir...

(This article belongs to the Section Fault Diagnosis & Sensors)
  • Article
  • Open Access
15 Citations
6,376 Views
27 Pages

Vertical Machining Center Feed Axis Thermal Error Compensation Strategy Research

  • Bo Huang,
  • Jiacheng Xie,
  • Xiang Liu,
  • Jiawei Yan and ,
  • Kang Liu and
  • Ming Yang
  • + 1 author+ 0 author

26 February 2023

CNC machine tools are a measure of national manufacturing and comprehensive national strength and how to reduce CNC machine errors in modern industry has received much attention from all walks of life. The thermal deformation of the feed axis of CNC...

  • Article
  • Open Access
966 Views
13 Pages

5 December 2025

Thermal elongation in high-speed motorized spindles constitutes a major source of machining error in five-axis machine tools, critically impacting machining precision. This study aims to develop and validate a cumulative thermal error compensation mo...

(This article belongs to the Special Issue Error Measurement, Analysis, and Compensation Technology for CNC Machine Tools)
  • Article
  • Open Access
1 Citations
2,648 Views
13 Pages

14 December 2022

Ground thermal tests are always mandatory before any space mission is flown into space. The collected results of these tests are mainly temperatures of the different parts of the spacecraft (nodes) for different mission scenarios. The measured temper...

(This article belongs to the Section Astronautics & Space Science)
  • Article
  • Open Access
3 Citations
2,763 Views
19 Pages

In this paper, an integrated geometric and thermal-induced errors prediction approach for active error compensation in machine tools is proposed and evaluated. The proposed approach is based on a hybrid of physical and neural network predictive model...

  • Article
  • Open Access
27 Citations
5,863 Views
19 Pages

7 February 2023

This study constructs a prediction model of thermal deformation with an artificial neural network and implements the real-time error compensation for a three-axis vertical CNC milling machine in cutting processes to improve the thermal error of the w...

(This article belongs to the Section Material Processing Technology)
  • Article
  • Open Access
42 Citations
9,323 Views
13 Pages

Real-Time Compensation for Thermal Errors of the Milling Machine

  • Tsung-Chia Chen,
  • Chia-Jung Chang,
  • Jui-Pin Hung,
  • Rong-Mao Lee and
  • Cheng-Chi Wang

7 April 2016

This paper is focused on developing a compensation module for reducing the thermal errors of a computer numerical control (CNC) milling machine. The thermal induced displacement variations of machine tools are a vital problem that causes positioning...

(This article belongs to the Special Issue Intelligence Computational and Control Approaches for Multi-Physic Coupling Engineering Systems)
  • Article
  • Open Access
36 Citations
7,547 Views
20 Pages

Effect of Coolant Temperature on the Thermal Compensation of a Machine Tool

  • Swami Nath Maurya,
  • Kun-Ying Li,
  • Win-Jet Luo and
  • Shih-Ying Kao

12 December 2022

Machine tool (MT) accuracy is an important factor in the industry and is affected by heat generation through internal and external moving parts; the electrical components used; and variable environmental temperatures. Thermal errors lead to 40–...

(This article belongs to the Section Advanced Manufacturing)
  • Article
  • Open Access
5 Citations
2,212 Views
22 Pages

Thermal Error Prediction in High-Power Grinding Motorized Spindles for Computer Numerical Control Machining Based on Data-Driven Methods

  • Quanhui Wu,
  • Yafeng Li,
  • Zhengfu Lin,
  • Baisong Pan and ,
  • Dawei Gu and
  • Hailin Luo
  • + 1 author+ 0 author

The thermal error of the high-power grinding motorized spindle, caused by heating, seriously affects machining accuracy. In this paper, an ensemble learning algorithm is used to predict the thermal error of a high-precision motorized spindle. The sub...

(This article belongs to the Section E: Engineering and Technology)
  • Article
  • Open Access
2 Citations
1,205 Views
14 Pages

Thermal Error Analysis of Hydrostatic Turntable System

  • Jianlei Wang,
  • Changhui Ke,
  • Kaiyu Hu and
  • Jun Zha

10 July 2025

The thermal error caused by the temperature rise in the service condition of the hydrostatic turntable system has a significant impact on the accuracy of the machine tool. The temperature rise is mainly caused by the friction heat of the bearing and...

(This article belongs to the Special Issue Advanced Design, Manufacturing, and Applications of Precision Machine Tools)
  • Article
  • Open Access
10 Citations
3,256 Views
10 Pages

9 January 2023

The heat generated by motors and bearings of machine tools has a significant impact on machining accuracy. Error modeling and compensation has proven to be effective ways to reduce thermal errors and improve accuracy. An improved fuzzy c-means (FCM)...

(This article belongs to the Topic Recent Advances in the Thermal Error of Precision Machine Tools)
  • Article
  • Open Access
19 Citations
3,898 Views
21 Pages

Intelligent Sensing of Thermal Error of CNC Machine Tool Spindle Based on Multi-Source Information Fusion

  • Zeqing Yang,
  • Beibei Liu,
  • Yanrui Zhang,
  • Yingshu Chen and ,
  • Hongwei Zhao,
  • Guofeng Zhang,
  • Wei Yi and
  • Zonghua Zhang
  • + 3 authors+ 0 author

3 June 2024

Aiming at the shortcomings of single-sensor sensing information characterization ability, which is easily interfered with by external environmental factors, a method of intelligent perception is proposed in this paper. This method integrates multi-so...

(This article belongs to the Special Issue Photoelectric Measurement and Sensing: New Technology and Applications—2nd Edition)
  • Article
  • Open Access
9 Citations
3,495 Views
28 Pages

15 May 2023

This paper proposes a methodology for creating simplified structural schemes and forward geometric models for industrial robots with serial architecture, with the goal of reducing thermal deformation errors that negatively impact positioning accuracy...

(This article belongs to the Special Issue Optimization and Simulation in Mechanical Engineering and Computer Aided Design)
  • Article
  • Open Access
22 Citations
5,331 Views
13 Pages

Thermal Deformation Modeling for Phased Array Antenna Compensation Control

  • Hui Liu,
  • Wei Wang,
  • Dafeng Tang,
  • Liyin Zhang and ,
  • Youming Wang and
  • Enming Miao
  • + 1 author+ 0 author

17 March 2022

Thermal compensation control can correct errors caused by the thermal deformation of phased array antenna (PAA) panels. Thermal deformation of the panel is needed to calculate the compensation value. While the PAA is working, thermal deformation is u...

(This article belongs to the Section Remote Sensors)
  • Article
  • Open Access
3 Citations
2,932 Views
15 Pages

22 June 2019

Part I of this study introduced a mathematical model capable of predicting the steady-state performance of a loop heat pipe (LHP) with enhanced rationality and accuracy. Additionally, investigation of the effect of design parameters on the LHP therma...

(This article belongs to the Collection Advances in Heat Transfer Enhancement)
  • Article
  • Open Access
10 Citations
6,925 Views
14 Pages

Construction of a Static Model for Power Generation of OTEC Plant Using Uehara Cycle Based on Experimental Data

  • Yoshitaka Matsuda,
  • Takuma Yoshitake,
  • Takenao Sugi,
  • Satoru Goto and ,
  • Takafumi Morisaki,
  • Takeshi Yasunaga and
  • Yasuyuki Ikegami
  • + 2 authors+ 0 author

This paper considers the construction of a static model for the power generation of an ocean thermal energy conversion (OTEC) plant using Uehara cycle. The model is constructed based on experimental data obtained from an actual experimental OTEC plan...

(This article belongs to the Special Issue Ocean Thermal Energy Conversion)
  • Article
  • Open Access
18 Citations
4,345 Views
22 Pages

Tiny Machine Learning Zoo for Long-Term Compensation of Pressure Sensor Drifts

  • Danilo Pau,
  • Welid Ben Yahmed,
  • Fabrizio Maria Aymone,
  • Gian Domenico Licciardo and
  • Paola Vitolo

28 November 2023

Pressure sensors embodied in very tiny packages are deployed in a wide range of advanced applications. Examples of applications range from industrial to altitude location services. They are also becoming increasingly pervasive in many other applicati...

(This article belongs to the Special Issue Edge Computing and Tiny Machine Learning in the Internet of Things: Latest Advances and Applications)
  • Article
  • Open Access
7 Citations
2,627 Views
26 Pages

Research on Machine Tool Thermal Error Compensation Based on an Optimized LSTM Model

  • Xiangrui Zhao,
  • Zhiwei Hu,
  • Jonathan Tang and
  • Zhenlei Chen

23 November 2025

Thermal error is a significant factor affecting the machining accuracy of machine tools, and error compensation is an economical and effective method to improve machine tool accuracy. However, traditional modeling methods face challenges such as insu...

(This article belongs to the Section Actuators for Manufacturing Systems)
  • Article
  • Open Access
6 Citations
3,538 Views
16 Pages

Correction of Thermal Errors in Machine Tools by a Hybrid Model Approach

  • Christian Friedrich,
  • Alexander Geist,
  • Muhammad Faisal Yaqoob,
  • Arvid Hellmich and
  • Steffen Ihlenfeldt

12 January 2024

Thermally induced position errors are one of the main error sources on the workpiece caused by the behavior of the machine tool. In today’s industrial environment, the correction of thermal errors is usually based on simple regression approache...

(This article belongs to the Special Issue Emerging Technologies and Applications of Machine Tools and Robot Systems)
  • Article
  • Open Access
20 Citations
3,406 Views
17 Pages

Owing to the fact that the conventional Temperature Drift Error (TDE) precise estimation model for a MEMS accelerometer has incomplete Temperature-Correlated Quantities (TCQ) and inaccurate parameter identification to reduce its accuracy and real tim...

  • Article
  • Open Access
6 Citations
2,543 Views
21 Pages

26 February 2024

Because the conventional Temperature Drift Error (TDE) estimation model for Capacitive MEMS Gyros (CMGs) has inadequate Temperature Correlated Quantities (TCQs) and inaccurate parameter identification to improve their bias stability, its novel model...

  • Article
  • Open Access
5 Citations
2,659 Views
15 Pages

15 May 2020

This paper presents an analysis of the time complexity of algorithms prepared for solving heat transfer problems at nanoscale. The first algorithm uses the classic Dual-Phase-Lag model, whereas the second algorithm employs a reduced version of the mo...

(This article belongs to the Special Issue Latest Advances in Electrothermal Models)
  • Article
  • Open Access
4 Citations
5,673 Views
19 Pages

16 September 2024

This paper investigates the mechanism of thermal-induced errors in interferometric fiber optic gyroscopes (IFOGs) caused by temperature changes in a vacuum environment, proposing a method for calculating thermal-induced errors in small fiber coils. F...

(This article belongs to the Special Issue Advances in Optical Fiber Sensing Technology)
  • Article
  • Open Access
17 Citations
3,527 Views
13 Pages

1 September 2025

Thermogravimetric analysis (TGA) has been extensively applied in polymeric characterization and quality inspection, facilitating in-depth investigations of the microstructural thermal response characteristics of polymers, including thermal stability,...

(This article belongs to the Section Polymer Analysis and Characterization)
  • Article
  • Open Access
17 Citations
3,385 Views
15 Pages

21 April 2020

Due to the large size of the heavy duty machine tool-foundation systems, space temperature difference is high related to thermal error, which affects to system’s accuracy greatly. The recent highly focused deep learning technology could be an a...

  • Article
  • Open Access
12 Citations
4,682 Views
8 Pages

The accuracy of five-axis machine tools is a key performance indicator. Among the various error sources of high precision five-axis machine tools, thermal and geometric errors occupy the majority. Thermal errors have become the largest error source o...

  • Article
  • Open Access
19 Citations
5,250 Views
23 Pages

24 October 2021

The heat generated by the ball screw feed system will produce thermal errors, which will cause the positioning accuracy to decrease. The thermal simulation modeling of the ball screw feed system is the basis for compensating thermal errors. The curre...

  • Article
  • Open Access
35 Citations
5,668 Views
18 Pages

30 August 2021

Thermal error is one of the main sources of machining error of machine tools. Being a key component of the machine tool, the spindle will generate a lot of heat in the machining process and thereby result in a thermal error of itself. Real-time measu...

(This article belongs to the Section Robotics, Mechatronics and Intelligent Machines)
  • Communication
  • Open Access
6 Citations
3,390 Views
15 Pages

Novel Real-Time Compensation Method for Machine Tool’s Ball Screw Thermal Error

  • Ren Rong,
  • Huicheng Zhou,
  • Yubin Huang,
  • Jianzhong Yang and
  • Hua Xiang

22 February 2023

The real-time compensation of thermal error in ball screws is an effective means to improve the accuracy of machining tools. However, the trade-off between robustness and computational efficiency of existing ball screw thermal error models is complic...

(This article belongs to the Special Issue Emerging Technologies and Applications of Machine Tools and Robot Systems)
  • Article
  • Open Access
14 Citations
4,235 Views
21 Pages

15 May 2020

A thermal-induced measurement error induced by thermal deformation of digital camera in photo mechanics methods that has the same magnitude of the error as that in the resistance strain measurement method reduces the accuracy of high-precision measur...

(This article belongs to the Special Issue Experimental Mechanics, Instrumentation and Metrology)
  • Article
  • Open Access
7 Citations
3,924 Views
21 Pages

Experimental Validation of a Dynamic Photovoltaic/Thermal Collector Model in Combination with a Thermal Energy Storage Tank

  • Klemen Sredenšek,
  • Sebastijan Seme,
  • Bojan Štumberger,
  • Miralem Hadžiselimović and ,
  • Amor Chowdhury and
  • Zdravko Praunseis
  • + 1 author+ 0 author

6 December 2021

The primary objective of this paper is to present a dynamic photovoltaic/thermal collector model in combination with a thermal energy storage tank. The added value of the proposed model is the use and integration of existing dynamic models for descri...

(This article belongs to the Special Issue Advances on Performance, Evaluation and Applications of Solar Thermal and Solar Hybrid PV-T Collectors)
  • Article
  • Open Access
10 Citations
2,497 Views
16 Pages

Thermal Error Prediction for Vertical Machining Centers Using Decision-Level Fusion of Multi-Source Heterogeneous Information

  • Yue Han,
  • Xiaolei Deng,
  • Junjian Zheng,
  • Xiaoliang Lin and ,
  • Xuanyi Wang and
  • Yong Chen
  • + 1 author+ 0 author

29 July 2024

To address the limitations in predictive capabilities of thermal error models built from single-source, single-structure data, this paper proposes a thermal error prediction model based on decision-level fusion of multi-source heterogeneous informati...

(This article belongs to the Special Issue Error Measurement, Analysis, and Compensation Technology for CNC Machine Tools)

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