Nonlinear lateral-torsional coupled motion of a rotor contacting a viscoelastically suspended stator

Patel, Tejas; Zuo, Ming J.; Zhao, Xuehua

doi:10.1007/s11071-011-0267-0

Cited by 39 publications

(18 citation statements)

References 14 publications

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“…In one of early experiments in chaotic motion of rotor systems, Ehrich [2] observed period doubling routes to chaos in a rotor with dead-band nonlinearity. Up to now, many studies has been carried out in study of chaotic vibration in rotor-dynamics; for example chaotic responses due to rub-impacts in rotors has been studied in references [3][4][5][6][7][8][9][10][11][12][13][14][15][16][17]; the chaotic dynamics of rotors due to effects of bearing has been investigated in papers [18][19][20][21][22][23][24][25]. Most of these papers treated the rotor with strong nonlinearity.…”

Section: Introductionmentioning

confidence: 99%

Chaos and Bifurcation in Nonlinear Inextensional Rotating Shafts

Hosseini

2018

Scientia Iranica

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In this paper, bifurcation and chaotic behavior of in-extensional rotating shafts are investigated. The shaft is modeled as a Rayleigh simply supported beam, spinning with constant rotational speed. Using two-mode Galerkin truncation, the partial differential equations of motion are discretized and then with the aid of numerical simulations, the dynamical behavior of the rotating shaft is studied. Using tools from nonlinear dynamics, such as time history, bifurcation diagram, Poincaré map, Lyapunov exponents, and amplitude spectra, a comprehensive analysis is made to characterize the complex behavior of the rotating shaft. Periodic (synchronous), quasiperiodic, chaotic and transient chaotic responses are observed in the neighborhood of the second critical speed. The effect of rotary inertia and damping on the dynamics of the rotating shaft is considered. It is shown that the chaotic response is possible for a shaft with weak nonlinearity without the existence of any internal resonance.

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Section: Introductionmentioning

confidence: 99%

Chaos and Bifurcation in Nonlinear Inextensional Rotating Shafts

Hosseini

2018

Scientia Iranica

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“…2DOF models of rotor-stator systems were deeply investigated in the literature; in contrast, few works address the analysis of higher DOF models, as considered by Popprath and Ecker [29], Cole [26], Patel et al [30], and Childs and Bhattacharya [31].…”

Section: Introductionmentioning

confidence: 99%

Nonlinear Dynamics and Chaos of a Nonsmooth Rotor-Stator System

Brandão

Paula

Savi

et al. 2017

Mathematical Problems in Engineering

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Rotor systems have wide applications in industries, including aero engines, turbo generators, and gas turbines. Critical behaviors promoted by the system unbalance and the contact between rotor and stator lead to important nonlinearities on system dynamics. This paper investigates the complex behavior presented by a rotor-stator system's dynamics due to intermittent contact. A four-degree-of-freedom Jeffcott nonsmooth rotor/stator system is used to describe the rotor behavior, while a viscoelastic suspended rigid cylinder represents the stator. Numerical simulations are carried out showing rich dynamics that include periodic, quasiperiodic, and chaotic responses. Special attention is dedicated to chaotic behavior and the calculation of Lyapunov exponents is employed as a diagnostic tool.

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“…Furthermore, the research object has also been developed from single bending vibration [2][3][4][5][6][7][8][9][10][11][12][13][14][15] to coupled bending-torsional oscillation [16][17][18][19][20][21][22][23], gradually. Edwards et al [16] were treated as the first scholar introducing the torsional degree of freedom (DOF) into the vibration analysis of rotor system with rub-impact.…”

Section: Introductionmentioning

confidence: 99%

Vibration analysis of coupled bending-torsional rotor-bearing system for hydraulic generating set with rub-impact under electromagnetic excitation

Zhang

et al. 2016

Arch Appl Mech

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Based on Jeffcott rotor model, the coupled bending-torsional rotor-bearing system with rub-impact under electromagnetic excitation for hydraulic generating set is established and the corresponding equation is given. The influence of excitation current, mass eccentricity and electromagnetic torque in the system is investigated by taking use of numerical method. The simulation results show that eccentricity is the crucial factor causing the changes of system dynamic characteristics, compared to the effect of torsional degree of freedom. And the larger the eccentricity is, the more obviously it affects the system responses. While the complicated dynamic behavior of bending vibration response can be restrained, due to the introduction of torsion motion, which has the property to suppress complex dynamic response of system, particularly, the inhibited and improved effect is more evident, as the eccentricity turns to be smaller. In addition, the unstable jumping phenomena of torsional response can be motivated by electromagnetic torque, which has to be taken seriously during the process of model establishment and dynamic analysis of system. From the global view of electromechanical coupling characteristics, the coupled bending-torsional vibration model with rub-impact under electromagnetic excitation can supply a more comprehensive reflection about the dynamic characteristics of system and provide useful reference with system state recognition and fault diagnosis.

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Nonlinear lateral-torsional coupled motion of a rotor contacting a viscoelastically suspended stator

Cited by 39 publications

References 14 publications

Chaos and Bifurcation in Nonlinear Inextensional Rotating Shafts

Chaos and Bifurcation in Nonlinear Inextensional Rotating Shafts

Nonlinear Dynamics and Chaos of a Nonsmooth Rotor-Stator System

Vibration analysis of coupled bending-torsional rotor-bearing system for hydraulic generating set with rub-impact under electromagnetic excitation

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