Correlation between surface roughness parameters and contact stress of gear

Abstract

To reveal the relationship between rough tooth surface microstructure characteristics and contact performance, contact analysis is carried out based on the measured surface topography of the tooth surface of ultrasonic grinding by utilizing the elastic-plastic contact mechanics and statistical correlation analysis theory. Simple correlation analysis and partial correlation analysis are adopted for the gear three-dimensional surface roughness parameters and the maximum Mises stress and maximum shear stress. Then, the method of stepwise regression analysis and path analysis is used to construct the best fitting linear model of 3D roughness parameters and the maximum Mises stress and maximum shear stress, and the parameters’ decision coefficient is obtained. The research shows: (1) the rank of comprehensive influence factors of the maximum Mises stress is as follows: arithmetical mean height ( Sa), peak material portion ( Smr1), maximum peak height ( Sp), reduced peak height ( Spk), and minimum curvature radius and height ratio ( K), where Smr1, Spk, and K are negatively correlated with the maximum Mises stress; (2) the comprehensive influence variables of the maximum shear stress are in the order of Sa, Spk, and Vmp, among which Spk and Vmp are inversely related to the maximum shear stress.

Correlation analysis of roughness surface height distribution parameters and maximum mises stress

“…On account of the truth that the research focuses on the use of data analysis to dig out the correlation law between height distribution parameters and rough surface contact stress, only a brief introduction to the data source is given. The detailed calculation process of surface reconstruction algorithm and contact model can be found in the literature [23] and [25].…”

“…Surface reconstruction algorithm proposed in Literature [23] is used to randomly allocate height distribution parameter values by MATLAB random function under the premise of a given autocorrelation length of 32. The parameter settings are shown in the table 1.…”

“…To reveal the mapping relationship between height statistical distribution parameters and friction and wear properties, Zhu et al explained height distribution parameters influence mechanism about the friction and wear by studying the correlation between height distribution parameters and surface bearing area ratio and establishing the formula between bearing area ratio and friction coefficient in dry friction and lubrication friction [22]. In terms of correlation analysis between contact performance and roughness, Yang et al analyzed the influence of roughness parameters on contact performance with the help of statistical correlation theory, neural network and sensitivity analysis [23,24]. However, the above researches were either based on experiments, whose samples were insufficient and hard to obtain, or did not take height distribution parameters as research objects.…”

Correlation Analysis of Roughness Surface Height Distribution Parameters and Maximum Mises Stress

“…To reveal the mapping relationship between height statistical distribution parameters and friction and wear properties, Zhu et al explained height distribution parameters influence mechanism about the friction and wear by studying the correlation between height distribution parameters and surface bearing area ratio and establishing the formula between bearing area ratio and friction coefficient in dry friction and lubrication friction [20]. In terms of correlation analysis between contact performance and roughness, Yang et al analyzed the influence of roughness parameters on contact performance with the help of statistical correlation theory, neural network and sensitivity analysis [21,22]. However, the above researches were either based on experiments, whose samples were insufficient and hard to obtain, or did not take height distribution parameters as research objects.…”