Influence of contact stiffness of joint surfaces on oscillation system based on the fractal theory

Pan, Wujiu; Li, Xiaopeng; Wang, Linlin; Guo, Na; Yang, Zhou

doi:10.1007/s00419-017-1325-y

Cited by 24 publications

(19 citation statements)

References 29 publications

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“…From Figures 7-10, it can be observed that superharmonics exist in each frequency spectrum. To explain more clearly, Figures 7-10 demonstrate the time histories, frequency spectrums, phase plane diagrams, and Poincare sections under four different excitation frequencies for − = × 6 7 10 m F . In Figure 7, the joint interface shows a 1T-period motion at ω = 0.33 .…”

Section: Effect Of Excitation Force On Nonlinear Responsementioning

confidence: 99%

“…It is observed that a 2T-period response occurs from frequency ratio ω = 1.96 to ω = 2.03 for − = ×6 2 10 m F. With the increase of F , another region of 2T-period motion near ω = 0.63 and region of 3T-period motion near ω = 1.As F is further increased, chaotic behavior is visible gradually at several points before ω = 0.6 . In the meantime,2T-and 3T-period motion regions and chaos regions are enlarged, and the midpoints of these regions move towards the negative direction.…”

mentioning

confidence: 91%

“…Daouket al researched the dynamic behavior of the bolted joint under heavy loadings utilizing a bolted structure test bed [5]. Pan et al built a critical two-degree-of-freedom modal coupling model and studied the effect of contact stiffness on the stability and nonlinearity on the basis of fractal surface topography [6]. Jalaliet al provided a new linear joint model and investigated the influence of preload and surface roughness quality on the identified equivalent stiffness [7].…”

Section: Introductionmentioning

confidence: 99%

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Dynamic and Stability Analysis of Multibolt Plane Joints under Normal Forces

Zhang

et al. 2019

Applied Sciences

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In this paper, a stiffness model of contact surfaces based on a modified three-dimensional fractal contact model is built, which is in accordance with the experiment results. Additionally, the static, dynamic, and stable behaviors of the bolt joint between the spindle box and the machine bed are analyzed. The mathematical relationship between fractal parameters of the surface topography and the stiffness of the system was established to accurately study its static behaviors. Asymmetric curves are observed from the load–deflection results and the nonlinear stiffness characteristic is also presented. It is shown that both the stress and the stiffness increase with the increase of the displacement near the static equilibrium position. Meanwhile, a simplified model without the consideration of roughness is compared with joint interfaces composed from milling, scraping, and grinding surfaces. Numerical calculation was employed to investigate effects of design parameters on the system under harmonic excitation when the processing method, excitation force, bolt pre-tightening force, topography parameters, and other structural parameters, i.e., nominal contact area, joint thickness and bolt number, are eventually regarded as the control parameters. The aim of the article is to analysis the influence of these parameters, including surface morphology, on nonlinear characteristics of the bolt interface with fractal contact surfaces andto provide some references to improve the characteristics.

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Section: Effect Of Excitation Force On Nonlinear Responsementioning

confidence: 99%

mentioning

confidence: 91%

Section: Introductionmentioning

confidence: 99%

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Dynamic and Stability Analysis of Multibolt Plane Joints under Normal Forces

Zhang

et al. 2019

Applied Sciences

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“…When a machine works, it is inevitable that friction phenomenon exists on the joint surfaces of internal components. The tribology, which studies friction phenomenon is a discipline related to interactional surface theory, including physics (Wengen et al, 2018), materials (Siavash et al, 2019), mechanics (Zhong and Mackerle, 1992;Hamilton et al, 2010;Hulikal et al, 2018;Pan et al, 2018aPan et al, , 2018b, etc. Fractal theory has been applied in many fields of mechanical engineering such as contact modeling, dynamics and fault diagnosis.…”

Section: Introductionmentioning

confidence: 99%

Contact mechanics of elastic-plastic fractal surfaces and static friction analysis of asperity scale

Pan

Wang

2020

Self Cite

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Purpose The purpose of this paper is to provide a static friction coefficient prediction model of rough contact surfaces based on the contact mechanics analysis of elastic-plastic fractal surfaces. Design/methodology/approach In this paper, the continuous deformation stage of the multi-scale asperity is considered, i.e. asperities on joint surfaces go through three deformation stages in succession, the elastic deformation, the elastic-plastic deformation (the first elastic-plastic region and the second elastic-plastic region) and the plastic deformation, rather than the direct transition from the elastic deformation to the plastic deformation. In addition, the contact between rough metal surfaces should be the contact of three-dimensional topography, which corresponds to the fractal dimension D (2 < D < 3), not two-dimensional curves. So, in consideration of the elastic-plastic deformation mechanism of asperities and the three-dimensional topography, the contact mechanics of the elastic-plastic fractal surface is analyzed, and the static friction coefficient nonlinear prediction model of the surface is further established. Findings There is a boundary value between the normal load and the fractal dimension. In the range smaller than the boundary value, the normal load decreases with fractal dimension; in the range larger than the boundary value, the normal load increases with fractal dimension. Considering the elastic-plastic deformation of the asperity on the contact surface, the total normal contact load is larger than that of ignoring the elastic-plastic deformation of the asperity. There is a proper fractal dimension, which can make the static friction of the contact surface maximum; there is a negative correlation between the static friction coefficient and the fractal scale coefficient. Originality/value In the mechanical structure, the research and prediction of the static friction coefficient characteristics of the interface will lay a foundation for the understanding of the mechanism of friction and wear and the interaction relationship between contact surfaces from the micro asperity-scale level, which has an important engineering application value.

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“…In traditional research, the stiffness of the impact system is mostly studied as a deterministic linear or nonlinear sti ness. However, the mechanical roughness of the surface topography may a ect the wear, friction, and contact deformation, which make the sti ness no longer determined [18]. Majumdar and Bhushan [19] found that the mechanical processing surface has self-similar fractal characteristics and proposed the contact fractal theory and the contact fractal model (MB model), which uses the fractal dimension D and the fractal dimension parameter G to characterize the mechanical roughness of the surface topography.…”

Section: Introductionmentioning

confidence: 99%

Effect of Surface Morphology on Dynamic Characteristics of Cam‐Follower Oblique Impact System

Deng¹,

Feng

Wang

et al. 2019

Shock and Vibration

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The effects of the fractal characteristics on the dynamic characteristics of the oblique impact system are studied via considering the normal contact stiffness with fractal dimension parameter of the microstructure of the interface in this paper. The normal distribution is used to describe the trend of contact line length. The effects of the position parameters and the scale parameters are analyzed. The simulation results show that the increasing of the interface roughness can make the system response more stable. The system response eventually evolves into chaos as the fractal dimension increases. The system response changes between quasiperiod and chaos affected by the contact line length with a normal random distribution.

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Influence of contact stiffness of joint surfaces on oscillation system based on the fractal theory

Cited by 24 publications

References 29 publications

Dynamic and Stability Analysis of Multibolt Plane Joints under Normal Forces

Dynamic and Stability Analysis of Multibolt Plane Joints under Normal Forces

Contact mechanics of elastic-plastic fractal surfaces and static friction analysis of asperity scale

Effect of Surface Morphology on Dynamic Characteristics of Cam‐Follower Oblique Impact System

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