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Dynamic modeling and analysis on lateral vibration of ball screw feed system

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Abstract

Ball screw feed systems serve as the feed components of machine tools, and its dynamic characteristics directly affect the machining quality of workpieces and reliability of ball screws. In this paper, the lateral equivalent dynamic model of ball screw feed systems is established considering the bending vibration of the ball screw, nut location, and joints based on the Euler–Bernoulli beam theory. Subsequently, the dynamic parameters of joints are identified according to the measured dynamic stiffness using the particle swarm optimization (PSO) algorithm with the determined initial range of stiffness and damping. The robustness of the dynamic model is verified by experiments conducted at different nut locations. In addition, the nonlinear dynamic model is established and the effects of cutting force, bearing clearance, and nut motion on dynamic characteristics are investigated. The numerical results indicate that bearing clearance mainly affects the equilibrium position of worktable vibration, while the cutting force at different rotational and moving speeds of the nut mainly affects the vibration mode of the worktable, but the vibration mode is always a quasi-periodic motion. The established dynamic model and numerical analysis results provide a useful understanding of the dynamic characteristics of ball screw feed systems.

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Funding

The authors disclosed receipt of the following financial support for the research, authorship, and/or publication of this article: This study was supported by the National Natural Science Foundation of China (grant numbers: 51875008, 51505012, and 51575014).

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Authors and Affiliations

  1. Beijing Key Laboratory of Advanced Manufacturing Technology, Faculty of Materials and Manufacturing, Beijing University of Technology, Beijing, 100124, China

    Xiangsheng Gao, Xianrang Zhang, Jingshuo Yang, Min Wang & Tao Zan

  2. School of Mechanical and Electrical Engineering, Wuhan Institute of Technology, Wuhan, 430205, China

    Zhongtao Fu

  3. Beijing Key Laboratory of Electrical Discharge Machining Technology, Beijing, 100191, China

    Min Wang

Authors
  1. Xiangsheng Gao
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  2. Xianrang Zhang
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  5. Min Wang
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  6. Tao Zan
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Contributions

Xiangsheng Gao conceived the modeling and analysis, and wrote the manuscript as well. Xiangrang Zhang and Jingshuo Yang conducted the experiment and modeling. Zhongtao Fu conducted the data analysis. Min Wang and Tao Zan supervised this work and revised the manuscript.

Corresponding author

Correspondence to Xiangsheng Gao.

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Gao, X., Zhang, X., Yang, J. et al. Dynamic modeling and analysis on lateral vibration of ball screw feed system. Int J Adv Manuf Technol 124, 4211–4229 (2023). https://doi.org/10.1007/s00170-022-09525-1

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  • DOI: https://doi.org/10.1007/s00170-022-09525-1

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