Analysis and synthesis of modal and non-modal self-excited oscillations in a class of mechanical systems with nonlinear velocity feedback

Malas, Anindya; Chatterjee, Satyajit

doi:10.1016/j.jsv.2014.09.011

Cited by 15 publications

(9 citation statements)

References 32 publications

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“…The authors [6] did not investigate methods of reduction to the lumped parameters. The analysis and synthesis of the modal and non-modal self-excited oscillations in the class of mechanical systems with nonlinear high-speed feedback is given in paper [7]. However, data on the use of results of study [7] for mechanical resonators of different types are lacking.…”

Section: Literature Review and Problem Statementmentioning

confidence: 99%

“…The analysis and synthesis of the modal and non-modal self-excited oscillations in the class of mechanical systems with nonlinear high-speed feedback is given in paper [7]. However, data on the use of results of study [7] for mechanical resonators of different types are lacking. The processes of oscillation damping in mechanical resonators were examined in [8]; data about the application of results in the imitation simulation are not given.…”

Section: Literature Review and Problem Statementmentioning

confidence: 99%

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Development of autooscillating system of vibration frequency sensors with mechanical resonator

Oliynyk

Taranenko

Shvachka

et al. 2017

EEJET

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Section: Literature Review and Problem Statementmentioning

confidence: 99%

Section: Literature Review and Problem Statementmentioning

confidence: 99%

Development of autooscillating system of vibration frequency sensors with mechanical resonator

Oliynyk

Taranenko

Shvachka

et al. 2017

EEJET

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“…For example, vibrating machines that perform ultrasonically assisted cutting use autoresonance because the resonance is maintained despite the varying cutting load 5. Many applications of autoresonance have been developed 38–40. Highly accurate vibrational sensing is another application in which the self‐excited resonator always resonates with the natural frequency.…”

Section: Introductionmentioning

confidence: 99%

Review of applications of self‐excited oscillations to highly sensitive vibrational sensors

Yabuno¹

2019

Z Angew Math Mech

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Vibrational sensors with resonators are suited for online monitoring because of their fast response and ability to measure instantly and continuously. Also, their miniaturization realizes much higher resolution. In this review, we begin by discussing sensor resolution based on the natural frequency shift of the resonator. For mass and stiffness sensing, the detection method for the natural frequency shift by self‐excited oscillation is characterized comparing with that by external excitation. Self‐excited oscillation automatically compensates for the viscous damping effects of the environment on the resonators, thus ensuring direct and accurate detection of the natural frequency shift. Another application of self‐excited oscillation is to viscometers. Instead of detecting the natural frequency shift, this system detects the critical feedback gain to generate self‐excited oscillation. This is important for measuring very high viscosity, where the peak of the frequency response curve is ambiguous or does not exist, meaning the Q value cannot be estimated from such curves. Another method, introduced for ultra‐sensitive mass sensing, is based on the eigenmode shift in multiple weakly coupled resonators. In this system, the self‐excitation compensates for the viscous damping effects to enable direct detection of the eigenmode shift.

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“…(2017) analyzed the self-excited vibration of a flexibly supported shaft system. Malas and Chatterjee (2015) pointed out that many machines and processes utilized artificially generated self-excited vibration, such as vibratory machines, rotary drilling, atomic force microscopy (AFM). Zhang et al.…”

Section: Introductionmentioning

confidence: 99%

Self-excited Vibration Control of the Flexible Planar Parallel 3-RRR Robot

Qiu

Yang

Zhang

2018

Journal of Vibration and Control

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A self-excited vibration active control approach for a 3-RRR flexible planar parallel robot is developed to improve accuracy and stability. The 3-RRR parallel flexible robot experimental setup is constructed. From the motion experiments, it is demonstrated that the residual vibration can be converted to self-excited vibration at a high-speed motion, which will affect the stability and positioning precision of the platform. To suppress the self-excited vibration owing to flexibility, friction, backlash, coupling, and other nonlinear factors, a nonlinear controller and a fuzzy control algorithm are designed to attenuate the self-excited vibration. Experiments are conducted in different positions of the 3-RRR flexible parallel robot. The experimental results demonstrate that the investigated control methods can suppress the self-excited vibration effectively.

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Analysis and synthesis of modal and non-modal self-excited oscillations in a class of mechanical systems with nonlinear velocity feedback

Cited by 15 publications

References 32 publications

Development of autooscillating system of vibration frequency sensors with mechanical resonator

Development of autooscillating system of vibration frequency sensors with mechanical resonator

Review of applications of self‐excited oscillations to highly sensitive vibrational sensors

Self-excited Vibration Control of the Flexible Planar Parallel 3-RRR Robot

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Analysis and synthesis of modal and non-modal self-excited oscillations in a class of mechanical systems with nonlinear velocity feedback

Cited by 15 publications

References 32 publications

Development of auto­oscillating system of vibration frequency sensors with mechanical resonator

Development of auto­oscillating system of vibration frequency sensors with mechanical resonator

Review of applications of self‐excited oscillations to highly sensitive vibrational sensors

Self-excited Vibration Control of the Flexible Planar Parallel 3-RRR Robot

Contact Info

Product

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Development of autooscillating system of vibration frequency sensors with mechanical resonator

Development of autooscillating system of vibration frequency sensors with mechanical resonator