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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
Authors
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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Abstract
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.
Keywords
Hertz Contact Theory, Large Deformation, Contact Stress, Elastic Cylinder
Chu Hongyan, An Ran, Cai Ligang, 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. doi: 10.11648/j.ijmea.20160406.15
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