【作者】 陈世其；

【导师】 王忠民；

【作者基本信息】 西安理工大学 ， 工程力学， 2004， 硕士

【摘要】 本文研究了DWX型单体液压支柱的静态和动态特性。主要内容有： (1)根据支柱的实际结构和受力情况，考虑了单体液压支柱油缸、活柱体变形以及活柱体和油缸套接段的影响等因素，建立了DWX型单体液压支柱稳定性分析的数学模型，导出了相应的临界力计算公式。通过实例计算并与现有方法进行比较，论证了其可行。 (2)将支柱内的工作介质等效为弹簧，建立了其动力学模型，根据Lagrange方程导出其动力学方程。利用Bolotin方法确定动力稳定与不稳定区域，并讨论了不同参数对稳定与不稳定区域的影响。 (3)建立了DWX型单体液压支柱的动力学模型，利用Hamilton原理导出了支柱分段表示的运动微分方程。采用有限差分法对微分方程中的空间变量进行离散，得到仅含有时间变量的微分方程组，引入状态变量，得到一阶周期系数状态方程，然后采用隐式2级4阶R-K法求解，根据Floquet理论确定了支柱的动力不稳定区域和稳定性区域。以缸径为100的DWX35型的单体液压支柱为例，讨论了系统参数对支柱动力稳定性的影响。 (4)分析了支柱在冲击载荷作用下，支柱内压的变化。首先建立了冲击的动力学模型，导出了波动方程，然后采用有限差分法对其求解。讨论了不同参数对支柱内最大压力的影响。更多还原

【Abstract】 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.更多还原