Nonlinear dynamic characteristics analysis and chaos control of a gear transmission system in a shearer under temperature effects
Nonlinear dynamic characteristics analysis and chaos control of a gear transmission system in a shearer under temperature effects
复制标题
温度影响下采煤机齿轮传动系统非线性动态特性分析及混沌控制
DOI：
10.1177/0954406219854112
复制
发表时间：
2019-08-01
影响因子：
2
通讯作者：
Li, Min
中科院分区：
文献类型：
--
作者：
Chen, Jiajun;Li, Wei;Li, Min
采煤机传动系统中由于工作温度的变化，容易引起传动齿轮工作异常。本文以永磁半直驱采煤机截割传动系统中的第一齿轮副为研究对象。充分考虑了热变形条件下时变啮合刚度、啮合阻尼、轴承间隙和齿轮侧隙的耦合作用。建立了该齿轮副的三自由度非线性动力学模型，并进行了无量纲分析。最后，采用龙格-库塔法进行了数值计算。通过齿轮在不同频率下的温度分岔图和不同温度下的频率分岔图，分析了系统的运动特性。分析了不同频率和温度下的啮合状态。对于系统中产生的混沌运动，采用周期共振激励的方法来控制系统的不稳定运动。本研究揭示了温度对系统动态特性的各种具体影响。另外，周期激励方法可以有效地控制系统的非线性运动，实现对温度作用下混沌的控制。
Due to changes in the working temperature in a shearer transmission system, it is easy to cause the transmission gear to work abnormally. In this paper, the first gear pair in a cutting transmission system of a permanent magnet semi-direct drive shearer was taken as the research object. The coupling effect of time-varying meshing stiffness, meshing damping, bearing clearance and gear backlash under thermal deformation were fully considered. Then, a three degree of freedom nonlinear dynamic model of the gear pair was established, and a dimensionless analysis was performed. Finally, the Runge-Kutta method was used in the numerical calculations. The motion characteristics of the system were analysed through the gear’s bifurcation diagram of the temperature at different frequencies and the bifurcation diagram of the frequency at different temperatures. The meshing state was analysed at different frequencies and temperatures. For the chaotic motion generated in the system, a periodic resonance excitation was applied to control unstable motion. This study has revealed various specific effects of the temperature on the dynamic characteristics of the system. In addition, the periodic excitation method can effectively control the nonlinear motion in the system and realise the control of the chaos under the temperature effect.