A normal contact stiffness fractal prediction model of dry-friction rough surface and experimental verification

Pan, Wujiu; Li, Xiaopeng; Wang, Linlin; Guo, Na; Mu, Jiaxin

doi:10.1016/j.euromechsol.2017.06.010

Cited by 90 publications

(52 citation statements)

References 20 publications

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“…Similar considerations also apply to heat conduction between rough surfaces, where the interfacial stiffness plays a central role in determining the thermal conduction [8]. Also, the loaddisplacement relationship is of great importance in determining contact dynamics, as well as the performance and reliability of various engineering apparatus [9] such as robotic applications and machine tools [10]. Consequently, the accurate understanding of the contact evolution is important for the perspective of revealing the origin and mechanism of friction [11,12], deriving the electrical and thermal conductance of various technical applications [8], and accurately modelling contact dynamics of machines [10,11].…”

Section: Introductionmentioning

confidence: 94%

A semi-analytical approach to the elastic loading behaviour of rough surfaces

Zhang

2019

Friction

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The elastic loading behaviour of rough surfaces is derived based on the physical understanding of the contact phenomena, where the pressure distribution is analytically obtained without any negative values or convergence problems, thus the evolution of the contact behaviour is obtained in a semi-analytical manner. Numerical results obtained by the proposed approach facilitate the understanding of the contact behaviour in the following aspects: 1) the ratio of contact area to load decreases with an increase in real contact area; 2) normal approach-load relationship is approximated by an exponential decay under relatively small loads and a linear decay under relatively large loads; and 3) average gap shows an exponential relationship with load only in moderate load range.

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Section: Introductionmentioning

confidence: 94%

A semi-analytical approach to the elastic loading behaviour of rough surfaces

Zhang

2019

Friction

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“…By substituting Equations (33) and (34) into Equation 14, the relation between the contact area and the contact load of single asperity in the unloading process in the first elastoplastic stage can be written as:…”

Section: Elastoplastic Stagementioning

confidence: 99%

“…where F u ep1 is the contact load of single asperity in the unloading process in the first elastoplastic stage. By substituting Equations (33) and (35) into Equation 14, the relation between the contact area and the contact load of single asperity in the unloading process in the second elastoplastic stage can be written as:…”

Section: Elastoplastic Stagementioning

confidence: 99%

“…The effect of asperity interaction on contact stiffness was studied as well. Pan [33,34] established a normal contact stiffness fractal prediction model of dry-friction rough surface considering the friction factor based on three-dimensional fractal function, and the validity of the established model was verified by experiment. Shen [35] proposed a contact stiffness model in view of the influence of domain extension factor between two spherical rough surfaces and analyzed evolution of the elastic-plastic contact involving three distinct stages ranged from complete elastic through elastic-plastic to fully plastic deformation.…”

Section: Introductionmentioning

confidence: 98%

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Modeling of the Loading–Unloading Contact of Two Cylindrical Rough Surfaces with Friction

et al. 2020

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The first fractal model for the loading–unloading process between two cylindrical surfaces with friction is presented. The nonlinear relation between the real contact area and the contact load in different deformation stages are deduced for a load–unload cycle. The impacts of parameters in the model are discussed. The numerical results show that for a given dimensionless contact load, the dimensionless real contact area of the loading–unloading process of cylindrical contact surface with friction, as well as the differences of the dimensionless real contact area between the loading and unloading processes, increase with the increase of the loading interference and fractal dimension, decrease of the profile scaling parameter and curvature radius, or the substitution of external contact for internal contact.

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“…Because the machined surface is not smooth and consists of a series of uneven peaks and valleys (as shown in Figure 2), forming a certain roughness, the contact of the two rough surfaces forms a joint surface. Many scholars have studied the stiffness of the joint surface: some studies are based on the fractal theory [17][18][19][20][21][22] from a micro perspective and some scholars have modeled the stiffness of the joint surface based on experiments. e stiffness characteristic formula is obtained by test [23][24][25][26].…”

Section: Stiffness Test Of Joint Surfacementioning

confidence: 99%

Stiffness Calculation Method and Stiffness Characteristic Analysis of Bolted Connectors

Hua

et al. 2019

Mathematical Problems in Engineering

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At present, few scholars have studied the effect of surface roughness on assembly stiffness. The influence of the joint surface stiffness on the overall stiffness is neglected. In this paper, a new method for calculating the stiffness of bolted joints is presented. The effect of joint surface stiffness on the overall stiffness is considered. Firstly, the relationship between load and displacement between cylinder and cylinder (including the joint surface with certain roughness) is studied, and the stiffness characteristic expression of the joint surface is obtained; the results are compared with the traditional stiffness calculation theory, and then, the influence of bolt connection surface on bolt connection is studied and compared with the stiffness calculation results of traditional bolt connection. The results show that the theoretical model presented in this paper is more practical.

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A normal contact stiffness fractal prediction model of dry-friction rough surface and experimental verification

Cited by 90 publications

References 20 publications

A semi-analytical approach to the elastic loading behaviour of rough surfaces

A semi-analytical approach to the elastic loading behaviour of rough surfaces

Modeling of the Loading–Unloading Contact of Two Cylindrical Rough Surfaces with Friction

Stiffness Calculation Method and Stiffness Characteristic Analysis of Bolted Connectors

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