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Research Papers: Contact Mechanics

A Contact Stiffness Model of Machined Plane Joint Based on Fractal Theory

[+] Author and Article Information
Shuyun Jiang1

School of Mechanical Engineering, Southeast University, Nanjing 210096, P.R. Chinajiangshy@seu.edu.cn

Yunjian Zheng

School of Mechanical Engineering, Southeast University, Nanjing 210096, P.R. China

Hua Zhu

College of Mechanical and Electrical Engineering, China University of Mining and Technology, Xuzhou 221116, P.R. China

1

Corresponding author.

J. Tribol 132(1), 011401 (Nov 12, 2009) (7 pages) doi:10.1115/1.4000305 History: Received September 17, 2008; Revised September 21, 2009; Published November 12, 2009; Online November 12, 2009

A general contact stiffness model is proposed in this paper to study the contacts between rough surfaces of machined plane joints. The proposed model uses fractal geometry for surface topography description, elastic-plastic deformation of contacting asperities, and size-dependent contact stiffness of microcontacts, where the contact stiffness is derived from Hertz contact theory. Three cast iron specimens are produced from different machining methods (milling, grinding, and scraping), and their rough surface profiles are extracted. The structure function method was used to calculate each profile’s fractal dimension and scale coefficient. Both theoretical analysis and experimental results of contact stiffness are obtained for these specimens under different contact loads. The comparison between the theoretical contact stiffness and the experimental results at the interface indicates that the present fractal model for the contact stiffness is appropriate and the theoretical contact stiffness is consistent with the experimental data.

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Figures

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Figure 1

Machined plane joint and its dynamic model

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Figure 2

The asperity of the rough surface: (a) rough surface; (b) spherical asperity

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Figure 3

Schematic of a microcontact established between an asperity of composite rough surface and opposing rigid plane

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Figure 4

Test rig: (a) schematic view; (b) test specimen (unit, mm)

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Figure 5

Profiles of specimens with different rms and machining methods: (a) milling Ra=2.47, (b) scraping Ra=0.85, and (c) grinding Ra=1.02

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Figure 6

Structure function graph of the profiles for above specimens

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Figure 7

Dependence of the contact stiffness on the pressure applied on milling/milling joint: (a) normal contact stiffness; (b) tangential contact stiffness

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Figure 8

Dependence of the contact stiffness on the pressure applied on scraping/scraping joint: (a) normal contact stiffness; (b) tangential contact stiffness

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Figure 9

Dependence of the contact stiffness on the pressure applied on grinding/grinding joint: (a) normal contact stiffness; (b) tangential contact stiffness

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