Nonlinear vibration control of a horizontally supported Jeffcott-rotor system

Eissa, M.; Saeed, Nasser A.

doi:10.1177/1077546317693928

Cited by 40 publications

(26 citation statements)

References 28 publications

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“…The later requires achieving an amplitude modulation of the mathematical system in the slow time scales. In another work, by Eissa and Saeed [9], the PPF controller was suggested to decrease the nonlinear vibrations of a horizontally confirmed Jeffcott rotor model. In this work, they presented a second order approximate solution applying MSPT.…”

Section: Introductionmentioning

confidence: 99%

The effectiveness of nonlinear integral positive position feedback control on a duffing oscillator system based on primary and super harmonic resonances

Amer¹,

EL-Sayed²,

Abdelwahab³

et al. 2019

J. vibroeng.

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In this paper, we applied three different control methods; Positive Position Feedback (PPF), Integral Resonance Control (IRC) and Nonlinear Integrated Positive Position Feedback (NIPPF) added to a Duffing oscillator system subjected to harmonic force. An analytic solution is introduced using the multiple scales perturbation technique (MSPT) to solve the nonlinear differential equations, which simulate the system with NIPPF controller. Before and after control at the primary and superharmonic resonances, the nonlinear systems' steady-state amplitude and stability are studied and examined. The influences of various parameters of the system after being connected to NIPPF are illustrated. Optimum working conditions for the NIPPF controller are obtained at internal resonance ratio 1:1. A Comparison is also made to validate the closeness between the numerical solution and the analytical perturbative one at time-history and frequency response curves (FRC). Finally, a comparison with the available results in the literature is presented. From this comparison, we find that the best control to the system is via the NIPPF controller.

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Section: Introductionmentioning

confidence: 99%

The effectiveness of nonlinear integral positive position feedback control on a duffing oscillator system based on primary and super harmonic resonances

Amer¹,

EL-Sayed²,

Abdelwahab³

et al. 2019

J. vibroeng.

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“…(17) - (18) into Eqs. (11)- (12), then exclusion the secular terms from equations (19), (20), the general solutions of these equations are obtained as follows…”

Section: Introductionmentioning

confidence: 99%

“…are complex functions in 1 T and 2 T , which are presented in the appendix (4). Then we can find the analytical solution of equations (1), (2) by substituting equations (13), (14), (17), (18), (19) and (20) into equations (3) and (4).…”

Section: Introductionmentioning

confidence: 99%

Vibrations Control of the Harmonically Excited Nonlinear System via Positive Position Feedback Controller

Amer

EL-Sayed

Saleh

et al. 2019

Al-Azhar Bulletin of Science

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In this paper, the vibration reducing of the harmonically excited nonlinear system is presented via applying positive position feedback controller (PPF). The analytical results are obtained by applying the multiple-scale perturbation techniques (MSPT) up to second-order approximations. The frequency response equation (FRE) is studied to test the behavior of the steady state solutions near the simultaneous resonances. The effects of the several parameters and the behavior of the system at resonance case are investigated to illustrate the optimum working conditions for the PPF controller. The stability analysis for the uncontrolled system is investigated by applying the phase portrait technique. Moreover, numerical simulation is used to compare between time-history and the analytical solution. The analytical and numerical solutions are compared to show the validity of the results. Finally, a comparison with the available results in the literature is presented.

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“…Recently, noteworthy contributions to the nonlinear analysis of Jeffcott rotors have been done by several researchers. Bifurcation analyses of the Jeffcott-rotor system before and after application of positive position feedback control were conducted by Eissa and Saeed (2018). They found an approximate solution to the governing equations by the multiple scales perturbation method and determined optimum working conditions of the control system.…”

Section: Introductionmentioning

confidence: 99%

Stability and bifurcation analysis of an overhung rotor with electromagnetic actuators

Przybyłowicz¹,

Kurnik²

2020

Journal of Theoretical and Applied Mechanics

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A rotating system consisting of a slender massless viscoelastic shaft simply supported in rolling bearings and a rigid massive disc mounted to the overhung end of the shaft is considered to study its stabilization against flutter. Instability and transverse vibration occurs due to the internal friction in the shaft. It is shown in the paper that the disc can be stabilized and its bifurcating self-excited vibration can be effectively reduced and modified by contactless radial magnetic actuators, using two alternative control strategies-semi-active utilizing constant or rotation-dependent actuator voltage or fully active with closed-loop state-dependent feedback. The near-critical transverse disc vibration is analyzed using the theory of Hopf bifurcation. Smooth, soft-type self-excitation is presented after activation of the dynamic vibration control which prevents the system from sudden jumps of vibration amplitude near the critical point.

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Nonlinear vibration control of a horizontally supported Jeffcott-rotor system

Cited by 40 publications

References 28 publications

The effectiveness of nonlinear integral positive position feedback control on a duffing oscillator system based on primary and super harmonic resonances

The effectiveness of nonlinear integral positive position feedback control on a duffing oscillator system based on primary and super harmonic resonances

Vibrations Control of the Harmonically Excited Nonlinear System via Positive Position Feedback Controller

Stability and bifurcation analysis of an overhung rotor with electromagnetic actuators

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