Fractal Prediction Model for Normal Contact Damping of Joint Surfaces considering Friction Factors and Its Simulation

Li, Xiaopeng; Yue, Bing; Zhao, Guanghui; Sun, Dehua

doi:10.1155/2014/378518

Cited by 8 publications

(9 citation statements)

References 9 publications

(14 reference statements)

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“…Substituting Equations ( 18) and ( 23) into Equation (25) by F e = ΔF f , and the critical microcontact deformation considering friction can be written as…”

Section: Microcontact Area Of the Asperity Considering Friction Factormentioning

confidence: 99%

Research on Fractal Model of Load Distribution and Axial Stiffness of Planetary Roller Screw Mechanism Considering Surface Roughness and Friction Factor

Chen

Liu

et al. 2022

Advcd Theory and Sims

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The effects of surface roughness and material properties of the planetary roller screw mechanism (PRSM) on the axial stiffness and load distribution are rarely studied. In this paper, the load distribution model is presented by incorporating into friction factor and surface microtopography. The microcontact model is built by considering elastic and plastic regimes to calculate the total actual contact area. Moreover, the load distribution model is modified by introducing surface microcontact coefficient. Then, the influences of the nut position, fractal dimension, fractal roughness, friction factor, axial load, and material yield strength on the axial stiffness and load distribution are studied in detail. The numerical results show that the axial stiffness rises with the increment of the nut position, axial load, fractal dimension, and yield strength, and reduces with the fractal roughness and friction factor increasing. In addition, the uniformity of the load distribution increases with the increment of the fractal roughness, and drops with the increase of the fractal dimension and material yield strength. This investigation lays the foundation for the design, manufacturing, and use of the PRSM.

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“…Substituting Equations ( 18) and ( 23) into Equation (25) by F e = ΔF f , and the critical microcontact deformation considering friction can be written as…”

Section: Microcontact Area Of the Asperity Considering Friction Factormentioning

confidence: 99%

Research on Fractal Model of Load Distribution and Axial Stiffness of Planetary Roller Screw Mechanism Considering Surface Roughness and Friction Factor

Chen

Liu

et al. 2022

Advcd Theory and Sims

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“…According to literature [29], the critical deformation of the asperity in the elastic deformation stage is…”

Section: Variable Static Friction Coefficient Of Fractal Surfacementioning

confidence: 99%

“…25,26 Li and Pan established a fractal model for predicting the normal contact stiffness of dry friction on rough surface based on three-dimensional fractal function. [27][28][29][30][31] Based on contact mechanics and fractal theory, this paper deduces a model of static friction coefficient which changes with fractal dimension and normal load, and uses the variable static friction coefficient instead of the constant static friction coefficient based on Coulomb's law to analyze the effect of friction on the disc spring.…”

Section: Introductionmentioning

confidence: 99%

Static behavior analysis of disc spring considering variable static friction coefficient

Chen

Yang

et al. 2021

Proceedings of the Institution of Mechanical Engineers, Part C:

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The object of this fundamental research will be to reveal the effects of variable coefficient of static friction on the static behavior of disc spring. On account of the complex relationship between friction and normal pressure, based on contact mechanics and fractal theory, a model for predicting variable coefficient of static friction of 3 D fractal surface is induced. Then the method proposed by Curti is improved by using the fractal coefficient of static friction to replace the Coulomb's law. The entire deflection range is considered under quasi-static loading condition. The model of disc spring is developed to predict the load-deflection and hysteresis characteristics while contacting with different fractal surfaces. The primary object of this study is to survey the variable static friction coefficient and its effect on the disc spring. Different fractal dimension, constant static friction coefficient and free height of disc spring are considered, and the relative error of the two methods are calculated. The investigation has revealed that the effect of fractal static friction coefficient on the load-deflection and hysteresis characteristics of disc spring is concentrated in the small deflection stage. And the method is universal for disc springs of different dimension on the same surface.

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“…Majumdar and Bhushan 10 found that there was statistical selfsimilarity on each scale through the observation of the surface topography of components, thereupon the classic fractal contact model (M-B model) was given first based on fractal theory. 11 Tian et al 12 and Li et al 13,14 deduced the contact damping and contact stiffness model based on the M-B model. Since the contact damping model is based on two-dimensional fractal, it is not reasonable 15,16 in theory to describe the three-dimensional surface topography based on two-dimensional fractal curve, and the elastic-plastic transition mechanism of asperities is not considered.…”

Section: Introductionmentioning

confidence: 99%

Three-dimensional fractal model of normal contact damping of dry-friction rough surface

Pan

Guo

et al. 2017

Advances in Mechanical Engineering

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According to the influence of the normal contact damping of joint surfaces on the dynamic characteristics of highprecision machinery (machine tool, robot, etc.), in this article, a three-dimensional fractal model of normal contact damping of dry-friction rough joint surfaces based on Hertz theory and fractal theory is established. The threedimensional surface topography is constructed, according to the modified double variable Weierstrass-Mandelbrot function. The fractal model of strain energy E e , dissipated energy E p , damping loss factor D, and normal contact damping C n are deduced in detail, and the influence of fractal parameters and dynamic friction coefficient m on them are simulated. The simulation curves show that strain energy E e , dissipated energy E p , damping loss factor D, and normal damping C n increase with the increase in the fractal roughness G; the influence of fractal dimension D on E e is more changeable, first E e decreases with the increase in D and then increases. E p , D, and C n increase with the increase in D and m, respectively; the effect of m on E e is not obvious, so simple change in m has no significant change in E e ; a comparative analysis of the theoretical calculation of normal damping and experimental results show that their general trend is consistent, and they increase with the increase in total normal contact load P, the relative error is 5%-25%. The theoretical model can provide reference for the design of normal contact damping of the joint surfaces.

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Fractal Prediction Model for Normal Contact Damping of Joint Surfaces considering Friction Factors and Its Simulation

Cited by 8 publications

References 9 publications

Research on Fractal Model of Load Distribution and Axial Stiffness of Planetary Roller Screw Mechanism Considering Surface Roughness and Friction Factor

Research on Fractal Model of Load Distribution and Axial Stiffness of Planetary Roller Screw Mechanism Considering Surface Roughness and Friction Factor

Static behavior analysis of disc spring considering variable static friction coefficient

Three-dimensional fractal model of normal contact damping of dry-friction rough surface

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