多级齿轮传动系统耦合非线性振动特性分析

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振动与冲击 ›› 2013, Vol. 32 ›› Issue (17) : 1-7.

论文

多级齿轮传动系统耦合非线性振动特性分析

林腾蛟1，王丹华1，冉雄涛1，赵俊渝1,2

作者信息 +

Coupled nonlinear vibration analysis of multi-stage gear transmission system

LIN Teng-jiao1, WANG Dan-hua1, RAN Xiong-tao1, ZHAO Jun-yu1,2

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文章历史 +

摘要

以锥-平行轴-行星多级齿轮传动系统为研究对象，建立了包含时变啮合刚度、啮合阻尼、传递误差、齿侧间隙等因素的18自由度弯-扭-轴耦合非线性动力学模型，采用4-5阶变步长Runge-Kutta法对系统的无量纲动力学微分方程进行求解，研究其耦合非线性振动特性。计算结果表明：随着齿侧间隙的增大，系统响应经倍周期分岔进入混沌运动，且侧隙对系统动态特性的影响随着负载的增大逐渐减小；随着负载的增大，系统响应由混沌经逆倍周期分岔进入单周期响应，齿轮副啮合状态由双边冲击、单边冲击过渡到无冲击状态；当输入转速减小时，混沌区域覆盖的负载范围也随之减小。

Abstract

A bending-torsion-axial coupled nonlinear dynamic model of spiral bevel, parallel-axes and planetary gear transmission system with 18 degrees of freedom is established, including the factors of time-varying mesh stiffness, mesh damping, transmission error and backlash. Fourth-fifth order Runge-Kutta method with variable time step is introduced to solve the dimensionless dynamic differential equations, and the coupled nonlinear vibration characteristic of gear system is studied. The results of simulation indicate that the response of system enters into chaos through period-doubling bifurcation along with the increase of backlash, and that the affection of backlash to dynamic characteristic is getting smaller with the increase of load; with the increasing of load, the response of system turns into single period from chaos through inverse period-doubling bifurcation, and the contact state tends to single-sided impact from double-sided, and finally turns to non-impact; the chaos region of displacement-load bifurcation diagram becomes smaller when the rotate speed decreases.

导出引用

林腾蛟;王丹华;冉雄涛;赵俊渝;. 多级齿轮传动系统耦合非线性振动特性分析[J]. 振动与冲击, 2013, 32(17): 1-7

LIN Teng-jiao;WANG Dan-hua;RAN Xiong-tao;ZHAO Jun-yu;. Coupled nonlinear vibration analysis of multi-stage gear transmission system[J]. Journal of Vibration and Shock, 2013, 32(17): 1-7