Effect of high-frequency excitation on friction induced vibration caused by the combined action of velocity-weakening and mode-coupling

Sahoo, Pradyumna Kumar; Chatterjee, Satyajit

doi:10.1177/1077546319889866

Cited by 18 publications

(3 citation statements)

References 38 publications

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“…Several researchers have explored different ways to control friction-induced oscillations. Some researchers (Thomson, 1999; Chatterjee et al, 2004; Sahoo and Chatterjee, 2020) have used high-frequency external excitations, while others (Chatterjee, 2007; Das and Mallik, 2006; Chatterjee and Mahata, 2009a, 2009b; Saha and Wahi, 2014) have utilized time-delay active feedback controllers to reduce friction-induced vibration. A nonlinear saturated relay proportional–derivative (PD) control (Zheng et al, 2019a, 2019b) is proposed for faster positioning of 1-DOF mechanical systems with friction and actuator saturation.…”

Section: Introductionmentioning

confidence: 99%

Efficacy of velocity feedback control for suppression of the friction-induced oscillation due to mode-coupling instability in a two degrees-of-freedom mechanical system

Kumar

Malas

2023

Journal of Vibration and Control

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The present article focuses on suppressing mode-coupling instability in frictional systems, which can cause unwanted vibrations such as squeal in braking systems. Mode-coupling instability occurs when two or more modes of a system approach each other. This article proposes the use of resonant velocity feedback control to eliminate friction-induced oscillations generated by mode-coupling instability. A two degree-of-freedom linear model is used to capture the instability due to friction-induced mode coupling. The efficacy of the control is demonstrated through linear stability analysis, and by optimizing control parameters using pole crossover method to minimize the transient time of the response. The robustness analysis demonstrates the ability of the control to effectively mitigate the instability even under parametric perturbations. The controlled system is simulated in MATLAB Simulink to validate analytical results. The effects of time delay, which is commonly present in feedback systems, are also investigated. Finally, the effectiveness of the control is studied in the presence of nonlinearity in the system. The nonlinear dynamics are analyzed by creating bifurcation diagrams with different bifurcation parameters.

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Section: Introductionmentioning

confidence: 99%

Efficacy of velocity feedback control for suppression of the friction-induced oscillation due to mode-coupling instability in a two degrees-of-freedom mechanical system

Kumar

Malas

2023

Journal of Vibration and Control

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“…Numerous strategies including passive and active approaches have been proposed for mitigating FIV. Passive approaches are in a way empirical since they are based on the adjustment of the system parameters or the parameter of an added subsystem (as a absorber or a Nonlinear Energy Sink (NES)) without any external power supply so as to obtain suitable dynamic properties [46,31,15,6,30,47]. The active one proceeds by introducing external support in order to act on the damping properties and/or to compensate friction effects [5,39,58].…”

Section: Introductionmentioning

confidence: 99%

Cascade architecture for nonlinear control of transient and stationary regimes of friction-induced vibrations

Nechak

Morin

2022

Nonlinear Dyn

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This paper presents a new control approach for mitigating Friction-Induced Vibration (FIV) issued from the mode-coupling mechanism. The key idea is to put the friction system onto a cascade of independent subsystems by using a first stage control. Then, a second stage control is defined and proven to be much more efficient for controlling both the transient and stationary regimes of the FIV. Asymptotic stabilization is formally demonstrated for the whole control scheme. Moreover, by numerical simulations, it is shown that the performances of the closed loop systems present an interesting robustness with respect to parameter uncertainty and to the saturation phenomenon which opens up promising practical perspectives for the proposed control technique.

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“…Mondal and Chatterjee [15] proposed acceleration feedback to control vortex-induced vibration. Sahoo and Chatterjee [16] have studied the effect of high-frequency excitation on friction-induced vibration. Mondal and Chatterjee [17] proposed a semi-active controller for Rayleigh-type oscillator.…”

Section: Introductionmentioning

confidence: 99%

Controlling self-excited vibration using positive position feedback with time-delay

Sarkar

Mondal

Chatterjee

2020

J Braz. Soc. Mech. Sci. Eng.

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This paper explores the vibration control of Rayleigh oscillator (a self-excited system), by using positive position feedback method. Both linear and nonlinear stability analyses are performed. The stability regions and optimal system parameters are obtained by performing linear stability analysis, and nonlinear analysis is performed using describing function method to get the amplitude and frequency of the system. The effect of time-delay on system performance is also studied in this paper. It is observed that the existence of time-delay can be unfavourable; however, the situation can be improved by increasing the loop gain. However, it is impossible to design a system without time-delay present in the feedback circuit. Therefore, to nullify the effect of uncertain time-delay, authors have intentionally introduced a preselected time-delay in the feedback circuit and re-optimized to stabilize the static equilibrium of the delayed system. Numerical simulations performed in MATLAB SIMULINK confirm the results of the theoretical analysis obtained. Keywords Self-excited vibration • Positive position feedback • Stability • Time-delay List of symbols A Non-dimensional amplitude c 1 Non-dimensional negative damping coefficient c 3 Non-dimensional positive damping coefficient k 1 Non-dimensional controller gain k 2 Non-dimensional sensitivity of the sensor K c = k 1 k 2 Non-dimensional loop gain x Non-dimensional displacement x f Non-dimensional filter variable f Non-dimensional damping ratio of filter c Damping ratio of closed-loop poles Non-dimensional frequency c Frequency of closed-loop poles f Non-dimensional natural frequency filter 1 , 2 Identical complex conjugate pair of poles used in pole crossover design Non-dimensional time delay parameter

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Effect of high-frequency excitation on friction induced vibration caused by the combined action of velocity-weakening and mode-coupling

Cited by 18 publications

References 38 publications

Efficacy of velocity feedback control for suppression of the friction-induced oscillation due to mode-coupling instability in a two degrees-of-freedom mechanical system

Efficacy of velocity feedback control for suppression of the friction-induced oscillation due to mode-coupling instability in a two degrees-of-freedom mechanical system

Cascade architecture for nonlinear control of transient and stationary regimes of friction-induced vibrations

Controlling self-excited vibration using positive position feedback with time-delay

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