Abstract: A dynamic model of DWX single hydraulic prop is established. Differential equations of motion for each part of the hydraulic prop are derived based on the Hamilton principle. Using the finite difference method and by discretization of spatial variables, differential equations with only time variable are obtained. By introducing state vector, the first order state equations with 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 a cylinder of 100mm diameter, effects of the system parameters on dynamic stability of the hydraulic prop are discussed.

Key words:

dynamic stability, DWX single hydraulic prop, finite difference method, Floquet theory, Runge-Kutta method.