On the stiffness-switching methods for generating self-excited oscillations in simple mechanical systems

Chatterjee, Satyajit; Malas, Anindya

doi:10.1016/j.jsv.2011.12.015

Cited by 10 publications

(5 citation statements)

References 16 publications

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“…The latter part is the forced vibration with a circular frequency of ω. After the free attenuation motion disappears, only the forced vibration exists, and it becomes a steadystate process at this time [27]. Therefore, the motion equation of the sensor system can be written as:…”

Section: Principle Of Resonance Sensor Bearing Damage Sensingmentioning

confidence: 99%

Early Weak Fault Diagnosis of Rolling Bearings Based on Fiber Bragg Grating Sensing Monitoring

et al. 2021

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Aiming at the problems of weak dynamic response and difficulty in diagnosis of early damage of rolling bearings, a diagnosis method for early damage of rolling bearings is proposed. Taking radial rolling bearings as the main research object, the load symmetric structure of deep groove ball bearings is analyzed. Based on the mechanical second-order system theory, the sensor monitoring structure is constructed. The generalized resonance principle is used to identify weak signals, and the fiber Bragg grating is used for signal sensing. The signal is obtained through the fiber Bragg grating high-speed demodulator. When a continuous periodic generalized resonance wave appears in the amplitude–frequency analysis of the signal, and there is a high-frequency resonance frequency, it can be proved that the bearing is faulty. The diagnosis method can effectively avoid the interference of low-frequency signals, the frequency spectrum is pure and there is no electromagnetic interference. It fully shows that the fiber Bragg grating sensor is suitable for the monitoring and diagnosis of the early weak fault of the bearing.

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Section: Principle Of Resonance Sensor Bearing Damage Sensingmentioning

confidence: 99%

Early Weak Fault Diagnosis of Rolling Bearings Based on Fiber Bragg Grating Sensing Monitoring

et al. 2021

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“…Das and Mallik 27 proposed proportional-derivative (PD) control via time-delayed velocity and displacement feedback for suppressing friction-induced self-excitation vibration. Chatterjee and Malas 28 reported stiffness-switching methods for generating artificial self-excitation vibration in a simple mechanical system. It was found that the on-off fashion can be effectively utilized for controlling self-excitation vibration in a simple mechanical system.…”

Section: Introductionmentioning

confidence: 99%

“…Literature on controlling the self-excitation vibration is vast. [24][25][26][27][28][29][30] Malas and Chatterjee 4 proposed an acceleration feedback-based technique for the self-excitation vibration in a multi-degrees-of-freedom mechanical system. An adaptive control was proposed to keep the vibration amplitude at the desired level.…”

Section: Introductionmentioning

confidence: 99%

Analysis and suppression of a self-excitation vibration via internal stiffness and damping nonlinearity

Jue-min

Ding

et al. 2017

Advances in Mechanical Engineering

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This work concerns the usage of the internal stiffness and damping nonlinearity for vibration suppression in a van der Pol-type mechanical self-excitation system. Changing the vertical or horizontal damping could limit the growth of the flow-induced instability. Applying harmonic balance method, the energy transfer for the self-excitation vibration is investigated through the limit circle. The steady amplitude of the limit circle is a key parameter that could be used to evaluate the effectiveness of the self-excitation oscillation suppressing. Increasing horizontal damping could reduce the rate of roll on for the steady amplitude curve of the limit circle, but the critical flow velocity for the limit circle occurring is minimally affected. Increasing vertical damping could increase the critical flow velocity, but the rate of the roll on is virtually unaffected when the parameters are properly chosen.

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“…Chatterjee and Malas (2012) have theoretically investigated the efficacy of a stiffness switching control scheme for artificially generating self-excited vibration in mechanical and mircromechanical systems.…”

Section: Introductionmentioning

confidence: 99%

Modal self-excitation in a class of mechanical systems by nonlinear displacement feedback

Malas

Chatterjee

2016

Journal of Vibration and Control

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Many devices and processes utilize self-excited oscillation to enhance performance. Recently, much research work has been devoted to the induction of self-excited oscillation in mechanical systems by nonlinear feedback. The present paper investigates the efficacy of a displacement feedback technique in generating self-excited oscillation at the desired mode(s) in a multiple degrees-of-freedom mechanical system. The controller couples the system with a bank of second-order filters and generates the required control force as a nonlinear function of the filter output. The describing function method theoretically explores the dynamics of the system with the control law. The control cost of the controller is studied for the proper choice of the filter parameters. The analytical results are substantiated by the numerical simulation results. The present study reveals that the proposed control laws, if used in an appropriate way, can generate self-excited oscillation in the system at the desired mode(s).

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On the stiffness-switching methods for generating self-excited oscillations in simple mechanical systems

Cited by 10 publications

References 16 publications

Early Weak Fault Diagnosis of Rolling Bearings Based on Fiber Bragg Grating Sensing Monitoring

Early Weak Fault Diagnosis of Rolling Bearings Based on Fiber Bragg Grating Sensing Monitoring

Analysis and suppression of a self-excitation vibration via internal stiffness and damping nonlinearity

Modal self-excitation in a class of mechanical systems by nonlinear displacement feedback

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