Tangential acceleration feedback control of friction induced vibration

Nath, J.M. Deb; Chatterjee, Satyajit

doi:10.1016/j.jsv.2016.05.020

Cited by 10 publications

(4 citation statements)

References 14 publications

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“…A model-free saturated output feedback control (Su et al, 2021) is proposed for positioning motion systems with friction and actuator constraints, using a filter-based output feedback PD control methodology with a robust relay term. Nath and Chatterjee (2016) have used an acceleration feedback controller to quench the vibration generated by friction. However, the present research aims to mitigate the friction-induced oscillation generated only by mode-coupling instability.…”

Section: Introductionmentioning

confidence: 99%

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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%

“…These drawbacks do not arise for resonant velocity feedback control. Several scientists are using the active resonant feedback control to suppress self-excited vibration in mechanical system (Mondal and Chatterjee, 2021; Nath and Chatterjee, 2016). Here, second-order filter acts as a controller.…”

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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“…Chatterjee (2007a) has derived a control law using Lyapunov’s second method to modulate normal load for minimizing friction driven oscillations. Nath and Chatterjee (2016, 2018) used a positive acceleration feedback controller for modulating tangential and normal force to minimize the Stribeck instabilities. Nechak (2019) adopted the nonlinear control scheme based on the feedback linearization approach to suppress the mode-coupling instabilities.…”

Section: Introductionmentioning

confidence: 99%

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

Sahoo

Chatterjee

2020

Journal of Vibration and Control

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The present article studies the effects of both tangential and normal high-frequency excitations on a two-degree-of-freedom moving-mass-on-belt which represents a minimal model incorporating both velocity-weakening instability (so-called Stribeck effect) and mode-coupling instability (so-called binary flutter). The method of direct partition of motion is employed for studying the characteristics of the system in slow time scale. Linear stability analysis is performed near the equilibrium point of the system for both with and without sinusoidal high-frequency excitation. It is observed that the instability can be suppressed by the tangential high-frequency excitation only for a specific range of strength of excitation. However, stability does not improve under normal high-frequency excitations, though amplitude of the self-excited oscillation can be controlled to some extent. Direct numerical simulations are carried out in MATLAB SIMULINK to validate the analytical predictions.

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“…Shan et al [20] used PPF to control vibration of a single-link flexible manipulator. Nath and Chatterjee [21] showed how friction-induced self-excited vibrations can be controlled by tangential acceleration feedback. Atay [22] proposed a method where delayed position feedback is used to suppress amplitudes of oscillation of Van der Pol 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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Tangential acceleration feedback control of friction induced vibration

Cited by 10 publications

References 14 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

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

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

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