Modeling and simulation of the filling hydraulic support with six pillars

TIAN Zhen; MA Lianwei; GAO Shan; LIU Wei; XIE Juanjuan

doi:10.16186/j.cnki.1673-9787.2023050058

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 approxi-mately 5.5×10-3 rad,while the lateral tilt vibration was relatively small,with a maximum amplitude of ap-proximately 4.3×10-3 rad.The amplitude of lateral tilt vibration was slightly higher than that of pitching vi-bration,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 af-fecting 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 assess-ment of the filling hydraulic support with six pillars.