Calculation of friction for indenter with fractal roughness that slides against a viscoelastic foundation

Soldatenkov, I. A.

doi:10.3103/s1068366615030137

Cited by 10 publications

(3 citation statements)

References 5 publications

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“…The obtained results are in good agreement with experimental data. A contact problem for a slider with rough surface and a viscoelastic foundation defined by Kelvin model was considered in [13]. The surface had self-affine rectangular asperities.…”

Section: Introductionmentioning

confidence: 99%

Multiple sliding contact of viscoelastic solids: Modelling and experiments

Torskaya,

Morozov,

Stepanov

2024

J. Phys.: Conf. Ser.

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The paper presents the results of friction tests of paving slabs in contact with rubber. The roughness of the slabs surface is formed by shot blasting. Some of the samples were slightly polished to simulate wear. The results of roughness measurement were adopted for modeling and used to calculate the effect of surface treatment on the deformation component in sliding friction. The results of modeling and experiments at room temperature have shown that a change in surface roughness affects the deformation mechanism of sliding friction. Static friction of slabs in contact with rubber was also studied in experiments. It is shown that the deformation mechanism of friction in the contact of paving slabs with rubber increases with an increase in the height (Sa, Ssk, Sku) and hybrid (Sdq) roughness parameters. A comparative analysis of friction maps at temperatures from −25 to +60°C was made for samples differing in surface treatment.

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Section: Introductionmentioning

confidence: 99%

Multiple sliding contact of viscoelastic solids: Modelling and experiments

Torskaya,

Morozov,

Stepanov

2024

J. Phys.: Conf. Ser.

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“…However, it should be emphasized that each model has its own unique parameters and scope of application. In recent years, some new mathematical models [24][25][26] for the description of micro-hysteresis, based on fractal theory, have also been developed for practical applications. It is worth mentioning that Hai-Yan Kong's friction law provides a simple and effective calculation method based on fractal dimension.…”

Section: Introductionmentioning

confidence: 99%

A Nonlinear vibration analysis of forced response for a bladed-disk with dry friction dampers

Liu

Zhang

Xie

2019

Journal of Low Frequency Noise, Vibration and Active Control

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This paper focuses on the steady vibration characteristics of the bladed-disk subjected to the dry friction damping under periodic excitation. The multi-harmonic method and continuation procedure are combined to trace the solution of the nonlinear forced vibration problem. To obtain a stable and fast nonlinear solver, the analytical formulation of Jacobian matrix in frequency-domain is derived for elastic Coulomb friction model with variable normal force. Furthermore, the continuation method is generalized to trace the solution via different parameters, including not only commonly used excitation frequency but also other design parameters of interest. In numerical simulations, a two degrees of freedom system and a lumped parameter bladed-disk model with dry friction dampers are employed to validate the effectiveness and stability of the method. Meanwhile, the effects of damper design parameters on the responses are investigated, especially the effect of normal force is studied to find the optimal solution. The results indicate that the proposed analytical method can provide an accurate quantitative assessment for the optimum design of the bladed-disk dampers.

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“…A one-dimensional model of the viscoelastic layer is widely used for a 3-D contact problem solution, for example, in Klüppel and Heinrich (2000), Persson (2001), Morozov and Makhovskaya (2007), Lyubicheva (2008), Goryacheva et al (2014), and Soldatenkov (2015). It allows not only to obtain an analytical solution but also to consider the additional effects such as an adhesive interaction of surfaces (Goryacheva et al, 2014) or multiple contact (Klüppel and Heinrich, 2000;Persson, 2001;Lyubicheva, 2008;Soldatenkov, 2015).…”

Section: Introductionmentioning

confidence: 99%

Effect of Surface Layers in Sliding Contact of Viscoelastic Solids (3-D Model of Material)

Torskaya

Stepanov

2019

Front. Mech. Eng.

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Sliding contact of a smooth indenter and a two-layered half-space is considered to take rheological properties of materials into account. A viscoelastic layer bonded with a rigid half-space is analyzed as well as the opposite viscoelastic half-space covered by a rigid layer. The problem is formulated as quasi-static. A numerical-analytical method of solution is based on a boundary element method and an iteration procedure. A new analytical solution is used to calculate the influence of coefficients for the computation procedure. Contact pressure, energy dissipation and internal stresses are analyzed depending on sliding velocity, layer thickness and Poisson's ratio.

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Calculation of friction for indenter with fractal roughness that slides against a viscoelastic foundation

Cited by 10 publications

References 5 publications

Multiple sliding contact of viscoelastic solids: Modelling and experiments

Multiple sliding contact of viscoelastic solids: Modelling and experiments

A Nonlinear vibration analysis of forced response for a bladed-disk with dry friction dampers

Effect of Surface Layers in Sliding Contact of Viscoelastic Solids (3-D Model of Material)

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