Bifurcation and chaos analysis of a spur gear pair system with fractal gear backlash
Bifurcation and chaos analysis of a spur gear pair system with fractal gear backlash
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具有分形齿轮齿隙的正齿轮副系统的分叉和混沌分析
DOI：
10.1016/j.chaos.2020.110387
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发表时间：
2020-11
期刊：
影响因子：
--
通讯作者：
Luyang Li
中科院分区：
文献类型：
--
作者：
Kang Huang;Zhenbang Cheng;Yangshou Xiong;Guangzhi Han;Luyang Li
研究了具有两种齿隙的直齿圆柱齿轮副系统的动力学特性，其中重点研究了齿轮侧隙的建模。同时，对滑动摩擦力进行了推导。在此基础上，建立了扭转动力学模型。以转速和初始齿隙为变量进行了仿真实验。并比较了具有固定间隙和具有分形间隙的系统的分叉和混沌。结果表明，这两种情况在运动状态演化过程中呈现出共同的规律，但在较高的转速和较大的初始齿隙时，具有分形齿间隙的系统进入混沌状态。具有固定侧隙的系统表现出更丰富的非线性动力学行为。本文推导出的具有分叉、混沌和齿面微观特征的分叉动力学模型，为建立分叉、混沌与齿面微观特征之间的间接联系提供了一种方法。研究结果为今后直齿圆柱齿轮的设计和制造提供了依据。
The dynamic characteristics of a spur gear pair system with two kinds of gear backlash are studied, in which the modeling of gear backlash is emphasized. Meanwhile, the sliding friction force is derived. On this basis, a torsional dynamic model is established. Some simulation experiments are conducted using rotational velocity and initial gear backlash as variables. And the bifurcation and chaos of the system with fixed backlash and fractal backlash are compared. The results show that both two conditions exhibit a common pattern in motion state evolution, but the system with fractal backlash enters chaos at a higher rotational speed and a larger initial gear backlash. The system with fixed backlash exhibits more rich nonlinear dynamic behaviors. The dynamic model with fractal backlash deduced in this paper outlines a method of establishing an indirect relationship between bifurcation, chaos, and tooth surface microscopic features. The results provide fundamental support for designing and manufacturing the spur gear in the future.
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影响因子：
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DOI：
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发表时间：
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影响因子：
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影响因子：
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作者：
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