Nonlinear dynamics of a rub-impact micro-rotor system with scale-dependent friction model

Zhang, Wenming; Meng, Guang; Chen, Di; Zhou, Jianbin; Chen, Jie-Yu

doi:10.1016/j.jsv.2007.07.077

Cited by 52 publications

(23 citation statements)

References 25 publications

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“…Partial rubbing between the rotor and stator are also extensively investigated in the literatures [8][9][10][11][12][13][14][15][16][17]. Beatty [8] analyzed the rotor response due to the radial rubbing, which is described as a function of the rotor contact circumference based on a combination of analytical and experimental results.…”

Section: Introductionmentioning

confidence: 99%

“…Zhang et al [13] presented a rub-impact micro-rotor model with scaling nonlinear rub-impact force and investigated the nonlinear dynamic characteristics of micro-electro-mechanical systems (MEMS). Popprath and Ecker [14] presented a Jeffcott rotor model with intermittent contact with a stator interacting with the rotor model via non-linear contact forces.…”

Section: Introductionmentioning

confidence: 99%

“…Sawicki et al [28] presented an analytical study of the dynamics and stability of rotors subjected to rubbing, taking account of associated thermal effects. Considering the rub-induced force impact and heat impact together, Tian and Yang [29] The mechanical model of the rotor-stator rubbing mostly adopts the piecewise-smooth model and the classical coulomb friction model [1,3,4,6,12,13,15,22,24]. In recent years, the rotor-stator rubbing simulated by the contact theory has become widely researched [2,5,9,[31][32][33][34][35].…”

Section: Introductionmentioning

confidence: 99%

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Dynamic characteristics analysis of a rotor–stator system under different rubbing forms

Zhao

et al. 2015

Applied Mathematical Modelling

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Dynamic characteristics of a rotor rubbing with circular stator and four pin shape stators are studied based on contact dynamics theory. Based on finite element (FE) method, the rotor system attached with two disks and pin shape stators are simulated by Timoshenko beam. The circular stator is simulated by a lumped mass model, and the rotor and stator are connected by one or more point-point contact elements to establish the dynamic model of the rotor-stator coupling system. Assuming that the rubbing is caused by the sudden impact excitation and sudden unbalance excitation under two loading conditions (condition 1: in-phase unbalances of two disks at the first critical speed, condition 2: out-of-phase unbalances of two disks at the second critical speed), the system dynamic characteristics are analyzed by the time-domain waveform, rotor orbit, normal contact/rubbing force and stator acceleration. The results show that the rubbing caused by the sudden impact under the loading condition 2 will always exist and the rubbing will excite quasi-periodic motion of the rotor system; combination frequency components about the rotating frequency (1×) and the first lateral natural frequency of the rotor-stator coupling system (f n1 ) can be viewed as the most distinguishable characteristic. Full annular rubbing may appear due to the sudden unbalance excitation under the loading condition 1, the four-point rubbing can restrain the subsynchronous vibration and mainly excites odd multiple frequency components, such as 3×, 5×, etc.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Dynamic characteristics analysis of a rotor–stator system under different rubbing forms

Zhao

et al. 2015

Applied Mathematical Modelling

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“…Lin et al [17] present a large number of numerical simulations for a two-degree-of-freedom model but focus on the onset of rubbing conditions. Zhang [18,19] and Cong [20,21] employ a model similar to that employed in this study; however, the contact force is linear and the conditions of the jumping phenomenon are not explained.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear dynamics of rub-impact on a rotor-rubber bearing system with the Stribeck friction model

Hua

Rao

et al. 2015

J Mech Sci Technol

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Recent experiments on rotor-bearing systems have revealed that three or four different responses may occur when the rubbing occurs. In the present study, a mathematical model is established to investigate the dynamic characteristics of a rotor-rubber bearing system. The advantage of this model is demonstrated in the nonlinear stiffness of the rubber bearing and the Stribeck friction model, which generates friction force depending on the relative velocity. Through numerical calculation, the effects of rotational speed, the decaying factor, the stiffness coefficient, the nonlinear stiffness coefficient, and the imbalance coefficient on the responses of the rotor-rubber bearing system are investigated in detail using bifurcation diagrams, orbits of the rotor center, phase plane portraits, Poincaré maps, and amplitude spectra. The obtained numerical simulation results improve understanding on the dynamical characteristics of rub-impact on a rotor-rubber bearing system, such as periodic no-rubbing motion, periodic annular rubbing motion, period-multiplying motion, quasi-periodic motion, dry whip, and the jump phenomenon. These results can be effectively used to diagnose rub-impact faults and instabilities in such rotor systems. This study may contribute to further understanding on the nonlinear dynamical behavior of rub-impact on rotor-bearing systems with nonlinear stiffness from the rubber bearing and the Stribeck friction model.

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“…Comparison of experimental and calculated results showed significant use of maximum Lyapunov exponent in revealing the bifurcation and chaos characteristics of the system. Zhang et al [10,11] presented some interesting results in the nonlinear dynamics of the rub-impact rotor system in MEMS (Micro-Electro-Mechanical Systems). The nonlinear vibrations of a rotor system with bearing clearance were investigated by Karlberg et al [12].…”

Section: Introductionmentioning

confidence: 99%

Chaotic vibration analysis of rotating, flexible, continuous shaft-disk system with a rub-impact between the disk and the stator

Khanlo¹,

Ghayour²,

Ziaei-Rad³

2011

Communications in Nonlinear Science and Numerical Simulation

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Nonlinear dynamics of a rub-impact micro-rotor system with scale-dependent friction model

Cited by 52 publications

References 25 publications

Dynamic characteristics analysis of a rotor–stator system under different rubbing forms

Dynamic characteristics analysis of a rotor–stator system under different rubbing forms

Nonlinear dynamics of rub-impact on a rotor-rubber bearing system with the Stribeck friction model

Chaotic vibration analysis of rotating, flexible, continuous shaft-disk system with a rub-impact between the disk and the stator

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