Stochastic modeling of friction force and vibration analysis of a mechanical system using the model

Kang, Won Seok; Choi, Chan Kyu; Yoo, Hong Hee

doi:10.1007/s12206-015-0808-4

Cited by 10 publications

(6 citation statements)

References 6 publications

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“…Currently, research on friction modeling has a history of hundreds of years, and dozens of friction models have been proposed. Depending on whether the friction phenomenon is described by differential equations, friction models can be roughly divided into two categories: static and dynamic [20].…”

Section: Friction Modelmentioning

confidence: 99%

A Review of Key Technologies for Friction Nonlinearity in an Electro-Hydraulic Servo System

et al. 2022

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In a high-precision servo system, the nonlinear friction link is the key factor affecting the system performance. Reasonable solving of the friction link in servo systems has become a focus of current research. This paper summarizes the friction nonlinearity that affects the control performance of servo systems. First, the characteristics of friction are summarized, and the advantages and disadvantages of typical friction models in recent years are analyzed. Subsequently, existing friction model parameter identification methods are introduced and evaluated. On this basis, the development level of the friction nonlinear control strategy is analyzed from three aspects: friction model-based control, friction model-free control, and compound control. Finally, the objective advantages and disadvantages of the existing technology are summarized, and the future development direction of the friction model and selection reference for the nonlinear friction control strategy are comprehensively discussed.

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Section: Friction Modelmentioning

confidence: 99%

A Review of Key Technologies for Friction Nonlinearity in an Electro-Hydraulic Servo System

et al. 2022

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“…Friction coefficient model. The friction coefficient of the system is variable in different working conditions, 4 The negative slope law of friction coefficient and relative velocity [5][6][7][8][9][10][11][12][13][14][15][16][17] implies that the dynamic friction coefficient is directly affected by slip velocity. This paper defines the fitting equation of friction coefficient as,…”

Section: Wiper Reversal Dynamics Modelmentioning

confidence: 99%

“…Ido et al 6 experimentally explored the influence of rubber surface topography on sliding frictional characteristics by using some rubber samples with different viscoelasticity, and concluded that friction coefficient is positively correlated with the surface roughness. Kang et al 7 set up a random parameter model of friction coefficient varying with the environment to replace the single-value friction coefficient, and verified the feasibility of the model by experiment. Min et al 8 studied the relationship between the friction coefficient and the vibration induced noise through experimental analysis of the wiper-windscreen system in microscopic glass waviness, and proposed a new blade structure to reduce noise.…”

Section: Introductionmentioning

confidence: 99%

A theoretical analysis of friction and vibration characteristics of wiper reversal process

Yang

Wang

Guo

et al. 2022

Proceedings of the Institution of Mechanical Engineers, Part D:

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This paper is concerned with the friction and vibration characteristics of a vehicle wiper-windscreen contact. The dynamics and friction models of the wiper-windscreen system are established to study the frictional vibration and noise of the wiper-windscreen system. The dynamic model of the wiper-windscreen system is established and the analytical formulas are derived. Based on the negative slope formula of friction coefficient with respect to relative velocity, the Coulomb’s friction law, and the fluid lubrication characteristics, the friction models of the system are built in dry and wet operating conditions, respectively. Meanwhile, the formulas of friction coefficient and relative velocity in time domain are presented. The changes of blade angle and friction with time in different working conditions are investigated. The Runge-Kutta method is used to analyze the nonlinear dynamic response and friction characteristics of the friction models. The simulations successfully reproduce the vibrations of the wiper blade in actual motion. The effectiveness of the dynamic model and the friction models is verified by comparing the simulation results under different working conditions. The dynamics and friction models presented in this paper can provide theoretical references for structural optimization of the wiper blade, and thereby the vibration and noise control of the wiper-windscreen system.

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“…In general, random friction modelling involves treating COF as random variables [6,7,8,9,10,11,12,13], a stochastic process [14,15] or a random field [10,16,17,18,19] in the literature. For modelling COF as a random variable, Antonio et al [6] studied the occurrence of squeal instability of a brake system, modelling the COF as random variables with the lognormal distribution.…”

Section: Introductionmentioning

confidence: 99%

“…Nechak et al [9] proposed the Multi-Element Legendre Polynomial Chaos Method in dealing with the prediction of long time self frictioninduced vibrations, and the friction coefficient involved was modelled as a uniform random variable. Kang et al [11] performed a stochastic analysis of a mechanical system by characterizing the frictional parameters using experimental statistical data. Nobari et al [12] investigated the mode-coupling instability in brake systems by conducting complex eigenvalue analysis.…”

Section: Introductionmentioning

confidence: 99%

Coefficient of friction random field modelling and analysis in planar sliding

Batou²,

Ouyang³

2021

Journal of Sound and Vibration

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Stochastic modeling of friction force and vibration analysis of a mechanical system using the model

Cited by 10 publications

References 6 publications

A Review of Key Technologies for Friction Nonlinearity in an Electro-Hydraulic Servo System

A Review of Key Technologies for Friction Nonlinearity in an Electro-Hydraulic Servo System

A theoretical analysis of friction and vibration characteristics of wiper reversal process

Coefficient of friction random field modelling and analysis in planar sliding

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