TIAN Z, MA L W, GAO S,et al.Modeling and simulation of the filling hydraulic support with six pillars[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 the filling hydraulic support with six pillars

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  In order to study the dynamic characteristics of the filling hydraulic support with six pillars under different external excitations，  Methods  the motion differential equations and state-space model of the the filling hydraulic support with six pillars were established based on the principles of the Lagrangian method and generalized space coordinate system.Utilizing MATLAB and considering the structure of the prop and relevant parameters，the motion differential equations of the system were solved，and the impact of different disturbance frequencies and amplitudes on the vertical，lateral，and pitching vibrations of the top beam was 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，albeit with a diminishing rate of reduction.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 provided valuable insights for the optimization design and stability assessment of the filling hydraulic support with six pillars.

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