Applicability of the Hertz Contact Theory to Rolling Rubber Cylinders Model
International Journal of Mechanical Engineering and Applications
Volume 4, Issue 6, December 2016, Pages: 242-248
Received: Dec. 24, 2016;
Published: Dec. 28, 2016
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Chu Hongyan, Mechanical Engineering, Beijing University of Technology, Beijing, China
An Ran, Mechanical Engineering, Beijing University of Technology, Beijing, China
Cai Ligang, Mechanical Engineering, Beijing University of Technology, Beijing, China
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Hertz contact theory (HCT) is a study of contact stress and deformation which is widely used in many engineering fields. However, there are many limiting conditions for the applications of the HCT, in this paper, the contact model between a plastic cylinder and a rubber cylinder does not fit two limiting conditions: Small deformation and no rigid body motion. By applying three-dimensional finite element models, the deformation and the maximum contact stress of two rotating cylinders have been analyzed. Comparing the simulation results and the theoretical results, the applicability of Hertz contact theory to this model has been discussed. The results show that: In the condition of large deformation, the theoretical results of maximum contact stress fit the actual situation, but the half-width of the contact area does not fit. Under the rolling condition, the theoretical maximum contact stress has a large deviation to simulation result.
Hertz Contact Theory, Large Deformation, Contact Stress, Elastic Cylinder
To cite this article
Applicability of the Hertz Contact Theory to Rolling Rubber Cylinders Model, International Journal of Mechanical Engineering and Applications.
Vol. 4, No. 6,
2016, pp. 242-248.
Tian Hongliang, Zhu Dalin, Fang Zifan, Qin Hongling. Hertz contact for 129 years [J]. Journal of China Three Gorges University (NATURAL SCIENCE EDITION), 2011, 06: 61-71. J. Clerk Maxwell, A Treatise on Electricity and Magnetism, 3rd ed., vol. 2. Oxford: Clarendon, 1892, pp.68–73.
Sun Shulei, Ding Junjun, Li Fei, Huang Yunhua, Zhou Zhang Yi. Research on the wheel / rail contact problem of metro vehicles [J]. urban rail transit research, 2013, 08: 39-43.
Mingyong Liu. Study on thermo elastic hydrodynamic lubrication of helical gears based on finite line contact [D]. Chongqing University, 2013
Wang Zubing, Fang Zongde, Su Jin. Study on meshing characteristics of profile modification spur gear [J]; mechanical transmission; 12 phase of 2011.
S.-H. Gao, G. Meng, X.-H. Long. Study of milling stability with Hertz contact stiffness of ball bearings [J]. Archive of Applied Mechanics, 2011, 818.
Ma Wen. Calculation and finite element analysis of rolling bearing contact problem [J]. mechanical engineering and automation, 2011, 06: 51-53.
W. Yan, F. D. Fischer. Applicability of the Hertz contact theory to rail-wheel contact problems [J]. Archive of Applied Mechanics, 2000, 704.
V. G. Vil’ke, I. I. Kosenko, E. B. Aleksandrov. On computer implementation of the Hertz elastic contact model and its simplifications [J]. Regular and Chaotic Dynamics, 2009, 146.
Xu Kai, Su Jianxin, Zhou Yongdan, Qiu Ming, Wang Weisheng. Finite element analysis of line contact and point contact of gears [J]. mechanical transmission, 2014, 08: 77-81.
Xiaoyong Li, Shilong Wang, Jie Zhou. Analysis of elliptical Hertz contact of steel wires of stranded-wire helical spring [J]. Journal of Mechanical Science and Technology, 2014, 287.
Wan Fei, Li Guo-xi, Gong Jing-zhong, Wu Bao-zhong. Dynamic study of anti-backlash gears and angle-contact ball bearing based on a simplification of the Hertz contact theory [J]. Proceedings of the Institution of Mechanical Engineers, 2016, 2301.