采煤机截割部传动系统非线性特性研究

Nonlinear Characteristics of Transmission System of Shearer Cutting Unit

以采煤机截割部齿轮传动系统为研究对象,建立了非线性动力学模型,将非线性动力学理论应用到采煤机截割部齿轮传动系统中,综合考虑阻尼比和激振频率对系统非线性动力学的影响,运用变步长四阶Runge-Kutta方法对非线性系统微分方程进行了求解,得到不同参数下系统响应的相平面图和庞加莱截面图。结果表明:阻尼比越小,太阳轮位移响应的非线性影响越大;激振频率在一定区间由小变大时,太阳轮位移响应由周期性变为混沌性,再变为周期性。此研究方法为采煤机截割部齿轮传动系统的相关非线性问题提供了理论支撑。

The nonlinear dynamics model of gear transmissionsystem of shearer cutting unit is established. The nonlinear dynamics theory of gear is applied to the transmission system of shearer cutting unit, and the effect of damping ratio and vibration frequency on the nonlinear dynamics of the system is considered. Fourth order Runge-Kutta method with variable step is employed to solve the nonlinear systems differential equations. The phase plan and Poincare section of the system response are obtained with different parameters. The results show that the nonlinear influence of the displacement response of the solar wheel is stronger when the damping ratio is lower. And when the excitation frequency from small to large in a certain interval, the displacement response of the solar wheel becomes chaos, and then changes back to periodic phenomenon. This research method provides theoretical support for the related nonlinear problem of the gear transmission system of the shearer cutting unit.