Research on normal contact stiffness of rough surface considering friction based on fractal theory

2015 ◽  
Vol 349 ◽  
pp. 43-48 ◽  
Author(s):  
Peng Liu ◽  
Han Zhao ◽  
Kang Huang ◽  
Qi Chen
Keyword(s):  
Rough Surface ◽  
Contact Stiffness ◽  
Fractal Theory ◽  
Normal Contact ◽  
Normal Contact Stiffness

scholarly journals Theoretical and Experimental Study on Normal Contact Stiffness of Joint Surfaces with Surface Texturing

2020 ◽  
Author(s):  
Chao-Chao Yin ◽  
Hai-Hong Huang ◽  
Dan Zhou ◽  
Zhi-Feng Liu
Keyword(s):  
Rough Surface ◽  
Contact Stiffness ◽  
Fractal Theory ◽  
Surface Texturing ◽  
Three Dimensional ◽  
Theoretical Models ◽  
Normal Contact ◽  
Joint Surfaces ◽  
Theoretical Predictions ◽  
Normal Contact Stiffness

Abstract Effects of surface texturing on the normal contact stiffness of joint surfaces had been investigated by experiments in many previous researches; however, there are relatively few theoretical models in this regard. The rough surface with surface texturing can be divided into two parts: the textured zone and the remaining zone, and their theoretical models are established respectively in this research. For the textured zone, the texture is modeled theoretically based on the three-dimensional topographic data obtained via a 3D-CCMP1 type laser profilometer from TRIMOS. For the remaining zone, the model of normal contact stiffness is established based on the fractal theory for the surface topography description and elastic-plastic deformation of surface asperities, and the structure function method is used to calculate the fractal dimension of rough surface profiles. In the experiment, the normal contact stiffness of specimens is obtained under different normal loads, and the test results are compared with the theoretical predictions. The result shows that the predictions of proposed theoretical model are in good agreement with the experimental data. For the joint surfaces with Sa>2.69 μm, the normal contact stiffness can be effectively increased through proper surface texturing.

scholarly journals Theoretical and Experimental Study on Normal Contact Stiffness of Plane Joint Surfaces with Surface Texturing

2021 ◽  
Author(s):  
Chaochao Yin ◽  
Haihong Huang ◽  
Dan Zhou ◽  
Zhifeng Liu
Keyword(s):  
Rough Surface ◽  
Contact Stiffness ◽  
Fractal Theory ◽  
Surface Texturing ◽  
Three Dimensional ◽  
Theoretical Models ◽  
Normal Contact ◽  
Joint Surfaces ◽  
Normal Contact Stiffness ◽  
Plane Joint

Abstract Effects of surface texturing on the normal contact stiffness of joint surfaces had been investigated by experiments in many previous researches; however, there are relatively few theoretical models in this regard. The rough surface with surface texturing can be divided into two parts: the textured zone and the remaining zone, and their theoretical models are established respectively in this research considering surface morphology and material properties. For the textured zone, micro textures are modeled theoretically based on the three-dimensional topographic data obtained via a VK-X250 type laser profilometer from KEYENCE. For the remaining zone, the model of normal contact stiffness is established based on the fractal theory for the surface topography description and elastoplastic deformation of surface asperities, and the structure function method is used to calculate the fractal dimension of rough surface profiles. In the experiment, the normal contact stiffness of specimens is obtained under different normal loads, and the test results are compared with the theoretical predictions. The result shows that the predictions of proposed theoretical model are in good agreement with the experimental data. For the joint surfaces with Sa > 2.69 μm, the normal contact stiffness can be effectively increased through proper surface texturing.

Normal Contact Stiffness Fractal Geometric Model Based on the Gamma Distribution of Rough Joint Surface

2013 ◽  
Vol 760-762 ◽  
pp. 2064-2067 ◽  
Author(s):  
Jing Fang Shen ◽  
Ke Xiang Wu ◽  
Fei Yang
Keyword(s):  
Convex Body ◽  
Gamma Distribution ◽  
Contact Stiffness ◽  
Geometric Model ◽  
Fractal Theory ◽  
Fractal Model ◽  
Joint Surface ◽  
Engineering Practice ◽  
Normal Contact ◽  
Normal Contact Stiffness

In this article, according to WenShuHua and Zhangxueniang fractal model, we point out the deficiency. Based on the fractal theory and Zhang, Wens contact stiffness fractal model, this paper puts forward Gamma distribution of rough joint surface normal contact stiffness. This paper considers micro convex body for ellipsoid, contact area for elliptic. This is slightly convex body for sphere hypothesis is more close to the actual situation. At the same time by using statistics theory, considering the contact ellipse long, short axis a and b are greater than zero, the assumption of a and b to two-dimensional Gamma distribution, it is more suitable for engineering practice.

A normal contact stiffness model of machined joint surfaces considering elastic, elasto-plastic and plastic factors

2019 ◽  
Vol 234 (7) ◽  
pp. 1007-1016 ◽  
Author(s):  
Yongquan Zhang ◽  
Hong Lu ◽  
Xinbao Zhang ◽  
He Ling ◽  
Wei Fan ◽  
...  
Keyword(s):  
Surface Topography ◽  
Contact Stiffness ◽  
Fractal Theory ◽  
Fractal Model ◽  
Single Pair ◽  
Machined Surface ◽  
Normal Contact ◽  
Joint Surfaces ◽  
Stiffness Model ◽  
Normal Contact Stiffness

Considering the rough surface as a fractal model makes the research of contact parameters more practical. In the fractal model of the machined surface, the parameters describing the surface topography are independent of the measurement resolution. Based on the elastic, elasto-plastic and plastic deformations of a single pair of contact asperities, a normal contact stiffness model using the fractal model for surface topography description is proposed in this paper. The specimens machined by milling and grinding methods are used to verify the proposed contact stiffness model based on the fractal theory. The experimental and theoretical results indicate that the proposed contact stiffness model is appropriate for the machined joint surfaces.

scholarly journals RESEARCH OF NORMAL CONTACT STIFFNESS OF STRADDLE-TYPE MONORAIL TYRES BASED ON FRACTAL THEORY

Mechanika ◽  
2019 ◽  
Vol 25 (3) ◽  
pp. 248-254
Author(s):  
Zhou Junchao
Keyword(s):  
Contact Stiffness ◽  
Fractal Theory ◽  
Theory Model ◽  
Contact Dynamics ◽  
Contact Theory ◽  
Element Analysis ◽  
Normal Contact ◽  
Theoretical Support ◽  
Physical Tests ◽  
Normal Contact Stiffness

The contact stiffness of on the rough surface of tread interaction (tire-track) ,a significant parameter for the tire-track contact surface, gives rise to direct influences on stiffness and noises of tyres. There is no sufficient theoretical support for the wheel face design due to lack of research on this parameter. To solve  this problem, an innovative method based on the fractal theory and the Hertz contact theory is proposed to estimate tread interaction contact stiffness. The fractal theory model is established to research the influencing factors on normal contact stiffness on the tread surface. Finite element analysis and physical tests have been conducted to make comparisons about the model. According to research results, there is a non-linear relationship between the contact stiffness and the fractal dimension. The research provides theoretical basis for tyre dynamics of straddle-type monorail vehicles and design of the track contact dynamics.

Numerical Analysis of Normal Contact Stiffness of Rough Surfaces

2016 ◽  
Vol 846 ◽  
pp. 300-305
Author(s):  
Chong Pu Zhai ◽  
Yi Xiang Gan ◽  
Dorian Hanaor
Keyword(s):  
Rough Surface ◽  
Rough Surfaces ◽  
Normal Load ◽  
Contact Stiffness ◽  
Surface Characterisation ◽  
Small Surface ◽  
Normal Contact ◽  
Contact Behaviour ◽  
Normal Contact Stiffness ◽  
Stress Dependent

A numerical model was proposed to investigate the contact behaviour of a solid with a rough surface squeezed against a rigid flat plane. We considered simulated hierarchical surface structures as well as scanned surface data obtained by the profilometry of isotropically roughened specimens. The simulated and treated surfaces were characterised using statistical and fractal parameters. The evolution of contact stiffness under increasing normal compression was analysed through the total truncated area at varying heights, in order to relate contact mechanics to different surface parameters employed for surface characterisation. For a relatively small surface interference, the predicted stress-dependent normal contact stiffness of both scanned and simulated surfaces is in good agreement with experimental observation from nanoindentation tests, revealing a power-law function of the normal load, with the exponent of this relationship closely depending on the fractal dimension of rough surfaces. The numerical results show that the amplitude of a fractal rough surface mainly contributes to the magnitude of the contact stiffness at a given normal load.

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