结合齿面分形形貌的齿轮振动特性实验研究

IF 3.4 Q1 ENGINEERING, MECHANICAL 国际机械系统动力学学报(英文) Pub Date : 2023-06-18 DOI:10.1002/msd2.12077
Qi'ao Lei, Lei Yuan, Xin Yu, Yunyun Sun, Hongguang Li
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引用次数: 0

摘要

齿轮啮合表面的微观粗糙度是不可避免的,也是影响动态响应的关键参数。表面粗糙度在多尺度上表现出自仿射特性。为了探讨表面分形形貌对齿轮系统在不同转速和载荷下振动振幅的影响,设计了一个直齿圆柱齿轮传动的实验装置。采用功率谱密度法计算了啮合表面的分形维数和分形粗糙度。实验揭示了齿轮响应与分形参数之间的关系。结果表明,齿面越粗糙,即分形维数越小或分形粗糙度越大,对应的振动幅度越大。动态响应对齿面形貌的敏感性在不同的转速和载荷下变化。在低速轻载条件下,分形维数和分形粗糙度对齿轮传动系统的动态响应影响更为明显。随着转速和载荷的增加,宏观工况逐渐成为影响振幅的主要因素。
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Experimental-based study of gear vibration characteristics incorporating the fractal topography of tooth surface

Microscopic roughness is inevitable on the gear meshing surface, which is also a key parameter affecting the dynamic response. The surface roughness exhibits self-affine characteristics across multiscales. To explore the influence of surface fractal topography on the vibration amplitude of the gear system under different rotational speeds and loads, an experimental setup of spur gear transmission is devised. The fractal dimension and fractal roughness of the meshing surface are calculated by the power spectral density method. The relationships between gear response and fractal parameters are revealed experimentally. Results indicate that a rougher tooth surface, that is, a smaller fractal dimension or larger fractal roughness, corresponds to an intense vibration amplitude. The sensitivity of dynamic response to the tooth surface topography varies at different rotational speeds and loads. Under low speed and light load conditions, the fractal dimension and fractal roughness have a more obvious influence on the dynamic response of the gear transmission system. With the increase of speed and load, the macroworking conditions gradually become the main factor attributed to vibration amplitude.

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