Estimation of dynamic behaviors of hydraulic forging press machine in slow-motion manufacturing process

  • Qing PanEmail author
  • Yibo Li
  • Minghui Huang
  • Zhaolong Zhao
  • Pengda Ma
  • Jun Ma
Original Paper


In this paper, stick–slip phenomenon of hydraulic forging press machine (HFPM), a nonlinear manufacturing system subjected to weak rigidity and negative friction velocity gradient, was investigated in slow-motion process. Dynamic characteristics of non-smooth motion were investigated experimentally under various operating conditions in slow-motion process. Taking into account the quadratic and cubic nonlinearities, the governing equation of the HFPM was derived. The method of multiple scales was employed to obtain approximate solution for velocity oscillation during slow motion. The steady-state responses for each case (i.e., non-resonance, primary, super-harmonic and sub-harmonic oscillation) were examined to investigate the correlation between velocity oscillation and nonlinear vibration in slow motion. The effects of viscous damping coefficient, hydraulic stiffness, friction parameters, excitation amplitude and frequency on the amplitude–frequency response characteristics were studied, and the interaction between system dynamics and tribological effects were presented. The stability of operational conditions and the critical velocity of the forging process were analyzed through the bifurcation techniques. Experimental results conducted on the HFPM verify the effectiveness of the proposed method.


Nonlinear vibration Hydraulic press machine Multiple scales Slow motion Velocity oscillation 



The authors would like to acknowledge the project supported by the Project of State Key Laboratory of High Performance Complex Manufacturing, Central South University, (Grant No. ZZYJKT2018-15), the Hunan Provincial Innovation Foundation for Postgraduate (Grant No. CX2013B062), the Innovation-driven Plan in Central South University (Grant No. 2015CX002), and the science and technology plan in Hunan Province (Grant No. 2016RS2015).


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Copyright information

© Springer Nature B.V. 2019

Authors and Affiliations

  • Qing Pan
    • 1
    Email author
  • Yibo Li
    • 1
  • Minghui Huang
    • 1
  • Zhaolong Zhao
    • 1
  • Pengda Ma
    • 1
  • Jun Ma
    • 1
  1. 1.State Key Laboratory of High Performance Complex Manufacturing, School of Mechanical and Electrical EngineeringCentral South UniversityChangshaChina

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