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Nonlinear dynamic analysis of CNC lathe spindle-bearing system considering thermal effect

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Abstract

The thermal effect has a significant influence on the performance of angular contact ball bearings and thus affects the motion accuracy and stability of spindle-bearing system of computerized numerical control (CNC) lathe. In this paper, a comprehensive coupled CNC lathe spindle-bearing model considering the thermal effect is proposed to predict the dynamic characteristics of system. The spindle is modeled as Timoshenko’s beam by considering the centrifugal force and gyroscopic effects. The bearing is analyzed by a five degrees-of-freedom (DOF) quasi-static model considering the thermal effect in order to obtain the static deformations and thermal deformations of rolling bodies. The dynamic differential equation of system is established by the finite element method. Runge–Kutta integral method is used to solve the system equation numerically to study its nonlinear dynamic behaviors. The correctness of thermal model of CNC lathe spindle-bearing system is verified by testing the housing temperature. The simulation values of system response considering thermal effect or not are compared with the experimental results, which shows that the proposed model is feasible. Moreover, the effects of key parameters such as rotational speed, pulley eccentricity and bearing preload on the nonlinear characteristics of system are investigated. Single-periodic, multi-periodic, quasi-periodic and chaotic motions are observed by time history curve, 3-D frequency spectrum curve, phase diagram, Poincare section and bifurcation diagram under different operating conditions. The analytical model developed here can be also helpful to the design and optimization of CNC lathe spindle-bearing system.

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Data Availability

The datasets generated during and analyzed during the current study are available from the corresponding author on reasonable request.

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Acknowledgements

We would like to express our appreciation to Chinese National Natural Science Foundation (U1708254) and National Key R & D Program of China (2019YFB2004400) for supporting this research.

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Authors and Affiliations

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

    Haiyang Liu, Changyou Li & Zhenyuan Li

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

    Yimin Zhang

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Liu, H., Zhang, Y., Li, C. et al. Nonlinear dynamic analysis of CNC lathe spindle-bearing system considering thermal effect. Nonlinear Dyn 105, 131–166 (2021). https://doi.org/10.1007/s11071-021-06613-x

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