Establishment and simulation of dynamic model of backfilling hydraulic support with six pillars

Abstract

A backfilling hydraulic support with six pillars used for working face roof support and goaf backfilling in coal mine is designed, and the structure and working principle of the backfilling hydraulic support are described. In order to improve the working stability of backfilling hydraulic support, the differential equations of motion and the state space model of backfilling hydraulic support are established based on Lagrange method and space coordinate system. According to the support structure and related parameters, the differential equation of motion of the system is solved by MATLAB. The influence law of disturbance frequency and amplitude on the top beam vertical vibration, roll and pitch vibration is obtained. The results show that the vertical vibration and roll vibration of the top beam are more severe in the low frequency range. And the degree of vibration gradually decreases as the disturbance frequency increases. As the disturbance amplitude increases, the vibration of the top beam is more severe. The vibration of the backfilling hydraulic support and the deformation distribution nephogram of the top beam are obtained by the finite element analysis, the validity of the dynamic model is verified by finite element simulation. The results provide the basis for the optimization design and the stability evaluation of backfilling hydraulic support.

Study on Working Characteristics of 4-Column Hydraulic Support in Lifting–Lowering–Moving State Based on Microcontact Theory and Rigid–Flexible–Mechanical–Hydraulic Coupling Simulation Model

“…During the hydraulic support operation, the compression of the emulsion in the column cylinder leads to the manifestation of elastic properties as a result of applied force [38]. To enhance the rigid-flexible coupling dynamics simulation model of a hydraulic support depicted in Figure 1, the column is substituted with a spring damping system.…”

Simulation Research on the Influence of the Clearance to the Impact Contact Characteristics between Coal Gangue and the Clearance‐Contained Tail Beam Structure

“…Guan et al [8] designed the new type of hydraulic support with double parallelogram structure, and the dynamic response characteristics and the natural frequency of the prop and the balanced jack are analyzed. Tian et al [9] designed a six-pillar backfilling hydraulic support, the differential equations of its motion and state space model are established, and the effects of disturbance frequency and amplitude on the vertical vibration and roll and pitch vibration of the top beam are studied. Szurgacz and Brodny [10] investigated the dynamic response of the prop of the hydraulic support under the impact of the falling body.…”