Dynamic Behaviours Of DWX Single Hydraulic Prop

In this paper, the static and dynamic behaviors of DWX single hydraulic prop are analyzed. The main research work is as follows:(1) Based on construction, working load and deformation of stationary cylinder, moving cylinder and interlink part between stationary and moving cylinder for DWX single hydraulic prop, a mathematical model on static stability analysis for the prop is presented, and a formula of critical load is obtained. Compared a method presented in this paper with the existing methods, the model is proved to be reasonable.(2) The working medium in a single hydraulic prop can be equivalent as a spring; a dynamic model for the DWX single hydraulic prop is presented. The differential equation of motion of the DWX single hydraulic prop is derived by Lagrange's equation. The principal dynamic stability and instability region is determined by the Bolotin method, and effects of various parameters on the DWX single hydraulic prop are discussed.(3) A dynamic model of DWX single hydraulic prop is established, and the differential equations of motion for each part of the hydraulic prop are derived by using the Hamilton principle. Using the finite difference method, the differential equations only having time variable are obtained by discretization ofspatial variable. Introducing state vector, the first order state equations having the periodic coefficients is solved by the implicit second class fourth order Runge-Kutta method. Based on the Floquet theory, the principal dynamic instability regions and dynamic stability regions for the hydraulic prop are determined. As an example of DWX35 single hydraulic prop with cylinder diameter 100mm, the effects of the system parameters on the dynamic stability of the hydraulic prop are discussed.(4) The internal pressure variation of single hydraulic prop under axialimpact loading is studied. A model for the DWX single hydraulic prop subjected to impact loading is presented, and the wave equation is derived. The equation is solved by finite difference method. Effects of different parameters on maximum internal pressure are discussed.