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A comprehensive nonlinear dynamic model for ball screw feed system with rolling joint characteristics

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Abstract

Modern tendency of machine tools design requires more accurate model to predict the system dynamics, in order to anticipate its interaction with machining process. In this paper, a comprehensive dynamic model of ball screw feed system (BSFS) considering nonlinear kinematic joints is introduced to investigate the varying dynamic characteristics when worktable is subjected to combined load from six directions. The load–deformation relationship of each kinematic joint is dealt with a set of translational and angular spring elements. The nonlinear restoring force function of each joint involving coupling displacement is calculated. Based on the lumped mass method, the analytical 18-DOF dynamic equation is formulated by the analysis of the interaction force between joints. Model verification tests are conducted. The worktable response exhibits the abundant and fascinating nonlinear phenomena arising in nonlinear joint and coupling effect. The nonlinear behavior behaves significant difference owing to the variations of excitation, platform position, screw length, preload and damping of joints. Thus, the model is promising for comprehension of machine dynamic behavior and for development of sophisticated control strategy.

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Acknowledgements

The work is supported by National Natural Science Foundation of China (Grant No. 52075087, No. U1708254) and the Fundamental Research Funds for the Central Universities (Grant No. N2003006, No. N2103003).

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Authors and Affiliations

  1. School of Mechanical Engineering and Automation, Northeastern University, Shenyang, 110819, China

    Mengtao Xu, Changyou Li, Hongzhuang Zhang & Zhendong Liu

  2. Equipment Reliability Institute, Shenyang University of Chemical Technology, Shenyang, 110142, China

    Yimin Zhang

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Contributions

Mengtao Xu contributed to methodology; investigation; experimental; writing–original draft; writing–review and editing. Changyou Li contributed to methodology; resources and supervision. Hongzhuang Zhang contributed to supervision; writing–review and editing. Zhendong Liu contributed to supervision; writing–review and editing. Yimin Zhang contributed to resources and supervision.

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Correspondence to Changyou Li.

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Xu, M., Li, C., Zhang, H. et al. A comprehensive nonlinear dynamic model for ball screw feed system with rolling joint characteristics. Nonlinear Dyn 106, 169–210 (2021). https://doi.org/10.1007/s11071-021-06815-3

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