负载与支承刚度对面齿轮传动系统动态特性的影响分析

为研究负载及支承刚度变化时对面齿轮传动系统动态特性的影响,建立了包含支承、齿侧间隙、时变啮合刚度、综合传动误差、阻尼和负载激励等参数的系统弯-扭耦合动力学模型,并使用PNF（Poincaré-Newton-Floquet）方法进行求解。计算结果表明,在不同的负载及支承刚度条件下,系统会出现简谐响应、次谐响应、拟周期响应及混沌响应4类稳态响应。增加负载及支承刚度能有效降低系统的动载荷,而增大支承刚度还可以减小面齿轮支承在方向与方向上的振动位移幅值差距。

Influences of external load and supporting stiffness on nonlinear dynamics of face-gear transmission system

In order to study the influences of external load and supporting stiffness on nonlinear dynamics and bifurcation characteristics of face-gear transmission system, a nonlinear dynamic model is presented. This model includes bearings, backlash, timevarying meshing stiffness, general transmission error, meshing damping, and external load, etc. The PNF （Poincaré-NewtonFloquet） method is used to solve the dynamic differential equations. The calculation results show that there are four kinds of steady state responses, i.e.harmonic, sub-harmonic, qusi-periodic and chaotic responses for different external load and supporting stiffness. Increasing the external load and supporting stiffness will decrease the dynamic load of system effectively, and increasing supporting stiffness will also reduce the gap of -direction and -direction＇s vibration displacements of face gear.