The column and the equilibrium jack are the main driving parts of hydraulic support.The working pressure is directly related to the carrying capability of the support.In basis of the carrying characteristics of the canopy,the mechanical response characteristics of the four connecting rods of the hydraulic support were further studied by analyzing the coupling condition between the hydraulic support and the surrounding rock under different coupling attitude.Based on Denavit-Hartenberg (D-H) theory,the kinematic and dynamic model of the hydraulic support was established,and the load change laws of the rear linkage and lemniscate bars under different support heights,column pressure and equilibrium jack pressure were analyzed by using MATLAB software.The results show that with the increase of support height,the load of rear linkage and lemniscate bars shows an opposite trend,and the reasonable balance of working pressure between the equilibrium jack and column helps to optimize the carrying characteristic of rear linkage and lemniscate bars,which provides a theoretical basis for optimizing the structural design of support.