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Modeling of the ball screw

Jerzy Z. Sobolewski
Archive of Mechanical Engineering | 2002 | vol. 49 | No 4 | 317-328
Keywords ball screws properties simulation
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Abstract

The author presents a development of computational model of design of ball screws thread. This model is the basis for computer program, which calculates the geometrical features of the thread for precisely given backlashes and contact angles. The program makes it possible to create a data base of a new generation ball screw of quality competitive to foreign ball screws. The modeling allows one to better select the ball screw and to predict its quality in the early stage of design.
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Authors and Affiliations

Jerzy Z. Sobolewski

Applying rapid heating for controlling thermal displacement of CNC lathe

Van-The Than Chi-Chang Wang Thi-Thao Ngo Guan-Liang Guo
Archive of Mechanical Engineering | 2022 | vol. 69 | No 3 | 519-539 | DOI: 10.24425/ame.2022.140420
Keywords rapid heating CNC lathe thermal displacement ball screw temperature control
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Abstract

Thermal error always exists in a machine tool and accounts for a large part of the total error in the machine. Thermal displacement in X-axis on a CNC lathe is controlled based on a rapid heating system. Positive Temperature Coefficient (PTC) heating plates are installed on the X-axis of the machine. A control temperature system is constructed for rapid heating which further helps the thermal displacement to quickly reach stability. The system then continuously maintains stable compensation of the thermal error. The presented rapid heating technique is simpler than the compensation of machine thermal errors by interference in the numerical control system. Results show that the steady state of the thermal displacement in the X-axis can be acquired in a shorter time. In addition, almost all thermal errors in constant and varying working conditions could be significantly reduced, by above 80% and 60%, respectively, compared to those without using the rapid heating. Therefore, the proposed method has a high potential for application on the CNC lathe machine for improving its precision.
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Bibliography

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Authors and Affiliations

Van-The Than
1
ORCID: ORCID
Chi-Chang Wang
2
Thi-Thao Ngo
1
Guan-Liang Guo
2
  1. Faculty of Mechanical Engineering, Hung Yen University of Technology and Education, Khoai Chau District, Hung Yen Province, Vietnam
  2. Department of Mechanical and Computer-Adided Engineering, Feng Chia University, Taichung, Taiwan, R.O.C.

Analysis of thermal characteristics with multi-physicsc oupling for the feed system of a precision CNC machine tool

Junjian Zheng Xiaolei Deng Junshou Yang Wanjun Zhang Xiaoliang Lin Shaofei Jiang Xinhua Yao Hongchen Shen
Bulletin of the Polish Academy of Sciences Technical Sciences | 2024 | 72 | 2 | e148941 | DOI: 10.24425/bpasts.2024.148941
Keywords CNC machine tool ball screw feed system module thermal state characteristics multiple physical field coupling contactless
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Abstract

The machining accuracy of CNC machine tools is significantly affected by the thermal deformation of the feed system. The ball screw feed system is extensively used as a transmission component in precise CNC machine tools, responsible for converting rotational motion into linear motion or converting torque into repetitive axial force. This study presents a multi-physical coupling analysis model for the ball screw feed system, considering internal thermal generation, intending to reduce the influence of screw-induced thermal deformation on machining accuracy. This model utilizes the Fourier thermal conduction law and the principle of energy conservation. By performing calculations, the thermal source and thermal transfer coefficient of the ball screw feed system are determined. Moreover, the thermal characteristics of the ball screw feed system are effectively analyzed through the utilization of finite element analysis. To validate the proposed analysis model for the ball screw feed system, a dedicated test platform is designed and constructed specifically to investigate the thermal characteristics of the ball screw feed system in CNC machine tools. By selecting specific CNC machine tools as the subjects of investigation, a comprehensive study is conducted on the thermal characteristics of the ball screw feed system. The analysis entails evaluating parameters like temperature field distribution, thermal deformation, thermal stress, and thermal equilibrium state of the ball screw feed system. By comparing the simulation results from the analysis model with the experimental test results, the study yields the following findings: The maximum absolute error between the simulated and experimental temperatures at each measuring point of the feed system components is 2.4◦C, with a maximum relative error of 8.7%. The maximum absolute error between the simulated and experimental temperatures at the measuring point on the lead screw is 2.0◦C, with a maximum relative error of 6.8%. The thermal characteristics obtained from the steady-state thermal analysis model of the feed system exhibit a prominent level of agreement with the experimental results. The research outcomes presented in this paper provide valuable insights for the development of ball screw feed systems and offer guidance for the thermal design of machine tools.
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Authors and Affiliations

Junjian Zheng
1
ORCID: ORCID
Xiaolei Deng
2
Junshou Yang
2
Wanjun Zhang
2
Xiaoliang Lin
2
Shaofei Jiang
1
Xinhua Yao
3
Hongchen Shen
3
  1. College of Mechanical Engineering, Zhejiang University of Technology, Hangzhou 310023, China
  2. Key Laboratory of Air-driven Equipment Technology of Zhejiang Province, Quzhou University, Quzhou 324000, China
  3. School of Mechanical Engineering, Key Laboratory of 3D Printing Process and Equipment of Zhejiang Province, State Key Laboratory of FluidPower and Mechatronic Systems, Zhejiang University, Hangzhou 310027, China

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