• CN: 11-2187/TH
  • ISSN: 0577-6686

Journal of Mechanical Engineering ›› 2024, Vol. 60 ›› Issue (16): 390-399.doi: 10.3901/JME.2024.16.390

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Reliability Analysis of Residual Vibration Suppression in Flexible Servo Systems under S-curve Trajectory with Bounded Uncertainty

HU Junyu1, HAN Xu1,2, TAO Yourui2, LI Shanhu3, ZHANG Jianning3   

  1. 1. College of Mechanical and Vehicle Engineering, Hunan University, Changsha 410082;
    2. School of Mechanical Engineering, Hebei University of Technology, Tianjin 300401;
    3. School of Electrical Engineering, Hebei University of Technology, Tianjin 300401
  • Received:2023-11-10 Revised:2024-03-02 Online:2024-08-20 Published:2024-10-21

Abstract: S-shape vibration suppression trajectory planning method is widely used in residual vibration suppression of flexible servo system because of its high efficiency and convenience. However, the actual vibration suppression effect is affected by following error generated by servo systems. Based on interval process model, a reliability analysis method for residual vibration suppression of flexible servo system considering following error is proposed. Firstly, a mapping model between the uncertainty of the displacement following error and the vibration response interval of the flexible end is established. In order to measure the reliability of residual vibration suppression, reliability evaluation models for residual vibration energy suppression and robustness of residual vibration suppression are proposed respectively. The effectiveness of the proposed method is verified by an engineering example, and the influence degree of the characteristic parameters (radius function and auto-correlation function) on the reliability index is quantified. The reliability analysis method provides theoretical support for the evaluation of residual vibration suppression effect of flexible servo system considering following error.

Key words: flexible servo system, S-curve trajectory, residual vibration, active vibration suppression, interval process, reliability analysis

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