采煤机截割部传动系统的非线性动力学建模及仿真

摘要/Abstract

摘要：

针对采煤机截割部齿轮传动系统在运行中产生振动、制造噪声污染等现象，综合考虑啮合刚度、啮合阻尼、综合误差等因素，建立了采煤机截割部齿轮传动系统的非线性动力学模型，运用变步长Runge-Kutta方法对系统微分方程进行了求解。通过分析相平面图和庞加莱截面研究了啮合刚度、阻尼比及激振频率对齿轮系统动态特性的影响。研究结果表明：在一定区间内，阻尼比逐渐减小时，太阳轮位移响应由单周期运动转为多周期运动，最终进入混沌运动；啮合刚度增大时，太阳轮位移响应同样从周期运动逐渐进入混沌运动；激振频率逐渐增大时，太阳轮位移响应呈现由周期响应转变为混沌响应再转变为拟周期响应的现象。

关键词: 采煤机截割部, 行星齿轮传动系统, 非线性动力学, 动力学微分方程

Abstract:

According to the phenomenon that gear transmission system of shearer cutting unit produced vibrations and noise in operation, a nonlinear dynamics model for gear transmission system of shearer cutting unit was established with the consideration of mesh stiffness, mesh damping, and comprehensive errors. Differential equations were solved by employing variable step size RungeKutta integration method. The influences of mesh stiffnesses，damping ratios and excitation frequencies on gear transmission system were studied through analyzing phase plane and Poincare section. The results show that in a certain range，displacement response of sun gear changes from single periodic motion to multiperiodic motion and then into chaotic motion with the decreasing of damping ratio. Displacement response of sun gear also gradually changes from periodic motion to chaotic motion with the increasing of mesh stiffness. Displacement response of sun gear changes from periodic response to chaotic response and then into quasiperiod response with the increasing of the excitation frequencies.

Key words: shearer cutting unit, planetary transmission system, nonlinear dynamics, dynamics differential equation

中图分类号:

O121.8

毛君, 张瑜, 张坤, 陈洪月, 徐健博. 采煤机截割部传动系统的非线性动力学建模及仿真[J]. 中国机械工程.

MAO Jun, ZHANG Yu, ZHANG Kun, CHEN Hongyue, XU Jianbo. Nonlinear Dynamics Modeling and Simulation of Shearer Cutting Unit Transmission System[J]. China Mechanical Engineering.

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