Abstract: The dynamic response characteristics of advanced support during the stepping processes were studied by numerical simulation and experiments. A coupling dynamic model of advanced support and roof was established with block rock theory. The stepping processes of advanced support were simulated with the contact stiffness changes between support and roof. The dynamic responses of the roof, the first and the second support groups were researched by changing the steps of advanced support and top contact stiffnesses, in the form of step mutation, exponential, linear and logarithmic. MATLAB was used to establish dynamic differential equation of advanced supports, and four order Runge-Kutta method was used to solve dynamics problems of advanced supports. The results of simulations and experiments show that abrupt vibrations of the roof and the support group may be caused by using the method of step mutation. The logarithmic, linear and exponential rigidity changing way were used to control stepping processes, that may reduce vibrations of the roof, the first and second support groups, and the effects of the three ways gradually increase.

Key words: advanced support, contact stiffness, dynamic response, moving process

摘要： 通过数值仿真和实验方法对超前支架迈步过程的动态响应特性进行研究。使用块系覆岩理论构造超前支架与顶板的耦合动力学模型。以超前支架与顶板接触刚度变化模拟超前支架的迈步过程。将超前支架迈步过程与顶部接触刚度设定为阶跃突变方式、指数型、直线型和对数型方式进行变化，研究此过程顶板、第一和第二支撑组的动态响应。使用MATLAB建立超前支架迈步过程动力学微分方程，并使用四阶龙格库塔计算方法对超前支架迈步过程的动力学问题进行求解。仿真和实验结果表明，使用阶跃突变方式进行支架迈步过程接触刚度的控制时，会引起顶板和各个支撑组的剧烈振动。使用对数型、直线型和指数型刚度变化方式进行迈步过程控制，能够减小顶板、第一和第二支撑组的振动量，并且三种方式减小振动量的效果逐渐递增。

关键词: 超前支架, 接触刚度, 动态响应, 迈步过程