TIAN Z, MA L W, GAO S, et al. Modeling and simulation of a six-pillar filling hydraulic support[[J]]. Journal of Henan Polytechnic University (Natural Science), 2024, 43(6): 109-115.

doi: 10.16186/j.cnki.1673-9787.2023050058

Received: 2023/05/30

Revised: 2023/08/08

Published:2024/09/24

Modeling and simulation of a six-pillar filling hydraulic support

TIAN Zhen1,2,  MA Lianwei3,  GAO Shan1,  LIU Wei1,  XIE Juanjuan1

1. School of Mechanical and Electrical Engineering, Zhoukou Normal University, Zhoukou 466000, Henan, China; 2. School of Mechanical Engineering, Liaoning Technical University, Fuxin 123000, Liaoning, China; 3. CCTEG Taiyuan Research Institute, Taiyuan 030006, Shanxi, China

Abstract:  Objectives To investigate the dynamic characteristics of a six-pillar filling hydraulic support under different external excitations, the motion differential equations and state-space model of the six-pillar filling hydraulic support were established based on the principles of the Lagrangian method and generalized space coordinate system. Methods Using MATLAB and considering the structure of the support and relevant parameters, the motion differential equations of the system were solved, and the effects of different disturbance frequencies and amplitudes on the vertical, lateral, and pitching vibrations of the top beam were analyzed. Results The results showed that, when the external excitation disturbance frequency was 20 rad/s, the maximum amplitude of vertical vibration of the top beam was approximately 0.91 mm. The pitching vibration of the top beam exhibited significant fluctuations, with a maximum amplitude of approximately 5.5×10^-3 rad, while the lateral tilt vibration was relatively small, with a maximum amplitude of approximately 4.3×10^-3 rad. The amplitude of lateral tilt vibration was slightly higher than that of pitching vibration, but both remained within a controllable range. When the external excitation frequency ranged from 20 rad/s to 80 rad/s, as the disturbance frequency increased, the vertical vibration of the top beam gradually decreased, though at a diminishing rate. The variation trend of lateral tilt vibration was similar to that of vertical vibration, while the change in pitching vibration with frequency was less pronounced. Within the range from 20 rad/s to 80 rad/s, the vertical, lateral tilt, and pitching vibrations of the top beam intensified with the increase in external excitation, with the magnitude of external excitation significantly affecting the vertical and lateral tilt vibrations, while its impact on pitching vibration was relatively minor. Conclusions The research results provide valuable insights for the optimization design and stability assessment of the six-pillar filling hydraulic support.

Key words: filling hydraulic support; dynamics model; disturbance; dynamic characteristics; simulation