接合间隙对齿轮系统非线性特性的影响分析

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振动与冲击 ›› 2016, Vol. 35 ›› Issue (14) : 215-221.

论文

接合间隙对齿轮系统非线性特性的影响分析

刘延伟 1，赵克刚 2

作者信息 +

Influence of Engaging Clearance on Gear System Dynamic Characteristics

LIU Yan-wei 1 , ZHAO Ke-gang 2

Author information +

文章历史 +

摘要

面向一类带有开关控制接合元件的齿轮传动系统，以动态传递误差DTE为响应指标，在较大啮合频率范围内对带有齿前或齿后接合间隙的多间隙构型齿轮系统的非线性特性进行了研究。建立了带有时变啮合刚度、齿侧间隙和接合间隙的齿轮传动系统动力学模型，采用4阶Runge-Kutta法对单间隙（齿侧间隙），齿侧间隙叠加齿前或齿后接合间隙等不同间隙构型的微分方程组进行数值求解，研究了不同间隙构型在不同负载驱动惯量比和系统转矩下响应指标的变化情况。分析发现，间隙构型对齿轮系统动力学特性存在较大的影响，齿前或齿后间隙的存在会改变系统跳跃频率、幅值、重叠频域宽度、混沌程度等主要动态特性，总体上多间隙构型相对于单间隙响应的幅值减小，但是波动程度加大；在负载端惯量大于驱动端时，含齿前间隙多间隙构型的响应幅值和波动程度都明显大于含齿后间隙的多间隙构型，说明接合间隙远离惯量较大一端时系统的振动比较大。

Abstract

With a kind of gear transmission system with switch control engaging element oriented, the nonlinear characteristics of the gear system with multiple clearances with the front or back engaging clearance and side clearance are studied, with using the dynamic transmission error(DTE) as the response index. Dynamic model with time-varying gear meshing stiffness, side clearance and engaging clearance is developed, the differential equations of side clearance, side&front clearances, and side&rear clearances physical configurations are solved by the fourth-order Runge-Kutta algorithm, and the impact of clearance configuration on DTE is studied, with different driver-load inertia ratio and differ torque separately. The results indicate that: the gear system enters into chaotic motion state with each clearance configuration, the existence of the gear-front or gear-rear clearance changes primary dynamic characteristics obviously, such as jump frequency, overlap band of primary resonance and chaos degree. In general, response amplitude decreases, but fluctuations increase for multi-clearance gear system. When the inertia of the load is greater than the driver, the response amplitude and the fluctuations of the gear-front multi-clearance gear system are obviously greater than the gear-rear multi-clearance gear system, this indicates that the vibration of the system is larger when the engaging clearance is far away from the larger inertia end.

导出引用

刘延伟 1，赵克刚 2. 接合间隙对齿轮系统非线性特性的影响分析[J]. 振动与冲击, 2016, 35(14): 215-221

LIU Yan-wei 1,ZHAO Ke-gang 2. Influence of Engaging Clearance on Gear System Dynamic Characteristics[J]. Journal of Vibration and Shock, 2016, 35(14): 215-221

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