An improved fractal model for tangential contact damping of high contact ratio gear considering friction effect
An improved fractal model for tangential contact damping of high contact ratio gear considering friction effect
复制标题
考虑摩擦效应的高重合度齿轮切向接触阻尼改进分形模型
DOI：
10.1016/j.chaos.2021.111510
复制
发表时间：
2021-12
期刊：
影响因子：
--
通讯作者：
Guangzhi Han
中科院分区：
文献类型：
--
作者：
Yangshou Xiong;Zongshan Zhou;Kang Huang;Zhenbang Cheng;Guangzhi Han
基于M-B分形理论，分析了齿面接触模式的几何模型和接触力学模型。根据切向接触阻尼的耗能机理，通过引入齿面修正系数，建立了干摩擦条件下考虑变摩擦的齿面切向接触阻尼模型。首先得到微凸体的载荷和切向阻尼，然后在齿面上积分得到齿面的接触载荷和切向接触阻尼。结果表明，齿面切向接触阻尼受粗糙度幅值、分形维数、齿面曲率半径、法向接触载荷和切向法向载荷比等参数的影响。仿真结果表明，随着法向接触载荷、摩擦系数、驱动轮曲率半径和粗糙度幅值的增大，切向接触阻尼逐渐增大。齿面切向接触阻尼随切向法向载荷比的增大而增大。当切向法向载荷比为0.09时，齿面切向接触阻尼达到最大值，然后随着切向法向载荷比的增大而减小。齿面切向接触阻尼随分形维数的变化规律与切向法向载荷比的变化规律相似，也是先增大后减小。当分形维数约为1.64时，齿面切向接触阻尼达到最大值。齿面切向接触阻尼随模数、传动比和主动齿轮齿数的增大而增大，且齿数和模数对其影响较大，而传动比的影响相对较弱。
On the basis of the M-B fractal theory, a geometric model and contact mechanical model of the tooth surface contact mode were analyzed. According to the energy dissipation mechanism of tangential contact damping, a tangential contact damping model of tooth surface considering variable friction under dry friction condition was established by introducing the correction coefficient of tooth surface. First, obtained the load and tangential damping of a micro-convex body, and then the contact load and tangential contact damping of the tooth surface are obtained by integrating on the tooth surface. It was shown that the tangential contact damping of tooth surface is affected by various parameters including roughness amplitude, fractal dimension, curvature radius of tooth surface, normal contact load and tangential normal load ratio. The simulation results show that the tangential contact damping gradually increases when the normal contact load, friction coefficient, curvature radius of driving wheel and roughness amplitude increase. The tangential contact damping on the tooth surface increased with the increase in the tangential normal load ratio. When the tangential normal load ratio is 0.09, the tangential contact damping of the tooth surface reached a maximum, and then decreased with the increase of the tangential normal load ratio. The change in the tooth surface tangential contact damping with the fractal dimension is similar to the change in the tangential normal load ratio, which also increased and then decreased. When the fractal dimension is approximately 1.64, the tangential contact damping of the tooth surface reached the maximum. The tangential contact damping of tooth surface increases with the increase of modulus, transmission ratio and the number of teeth of the driving gear, and the number of teeth and modulus have a great influence on it, while the influence of transmission ratio is relatively weak.
登录
查看更多内容
DOI：
10.1088/1755-1315/186/4/012029
发表时间：
2018-10
期刊：
IOP Conference Series: Earth and Environmental Science
影响因子：
--
作者：
J. Shen;Hongbo Yan;Jiajun Yang
通讯作者：
J. Shen;Hongbo Yan;Jiajun Yang
DOI：
--
发表时间：
2011
期刊：
Journal of Xi'an Jiaotong University
影响因子：
--
作者：
Liu Zhiheng
通讯作者：
Liu Zhiheng
影响因子：
--
作者：
Qi Chen
通讯作者：
Qi Chen
DOI：
10.1243/09544100jaero344
发表时间：
2008-08
期刊：
Proceedings of the Institution of Mechanical Engineers, Part G: Journal of Aerospace Engineering
影响因子：
--
作者：
N. Yıldırım;G. Gasparini;S. Sartori
通讯作者：
N. Yıldırım;G. Gasparini;S. Sartori
影响因子：
6.2
作者：
Soom, Andres;Serpe, Catalin I.
通讯作者：
Serpe, Catalin I.