Nonlinear dynamic analysis of a rub-impact rotor supported by oil film bearings

Wang, Junguo; Zhou, Jianzhong; Dong, Dawei; Yan, Bin; Huang, Chun-Rong

doi:10.1007/s00419-012-0688-3

Cited by 48 publications

(23 citation statements)

References 19 publications

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“…When speed is equal to 1600 r/min, the phase plane graph traverses ring at any point, and Poincare´map is almost closed curve, as displayed in Figure 5. These results prove that the quasiperiodic motion appears in the traction transmission system, 7 and it keeps the state for a long range until 2330 r/min. When the speed is equal to 2340 r/min, the response of the system is in so-called ''period-3'' motion according to the phase plane graph shown in Figure 6, and three fixed points shown in Poincare´map.…”

Section: Effect Of Rotating Speed Of Traction Motorsupporting

confidence: 63%

Nonlinear analysis of the locomotive traction system with rub-impact and nonlinear stiffness

Wang

Zhang

Bai

et al. 2018

Advances in Mechanical Engineering

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Considering rub-impact forces, eccentricity of rotor, and nonlinear stiffness of armature shaft, a dynamic differential equation is built to investigate the bifurcation and chaos behavior of the locomotive traction system. The nonlinear analysis methods are inclusive of bifurcation diagrams, phase plane portraits, Poincaré maps, displacement-time curves, and spectrograms. The simulation results reveal the complex dynamic comprising period-3 to quasi-periodic bifurcation and intermittent bifurcation. Some research results are references for dynamic design and rub-impact fault diagnosis of the locomotive traction system.

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Section: Effect Of Rotating Speed Of Traction Motorsupporting

confidence: 63%

Nonlinear analysis of the locomotive traction system with rub-impact and nonlinear stiffness

Wang

Zhang

Bai

et al. 2018

Advances in Mechanical Engineering

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“…(3) e value of the following matrix equation at periodic T is solved by the numerical integration method: Figure 16, the stability and bifurcation characteristics of the system can be judged as follows [28]:…”

Section: Stability Analysis Of Locomotive Gear Transmission Systemmentioning

confidence: 99%

Chaos and Stability of Spur Gear Transmission System for Locomotive Based on Energy Method and Floquet Theory

Wang

Zhao

2018

Shock and Vibration

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Considering the internal and external excitations such as time-varying mesh stiffness (TVMS), backlash, transmission error, torque of the traction motor, and load torque of the wheel/rail, a lumped mass model of the spur gear drive system for a railway locomotive is established. Based on Ma models in the relevant literatures, TVMS is calculated by simplifying a gear tooth as a cantilever beam on the root circle, taking into account the effects of extended tooth contact as well as revised foundation stiffness. The bifurcation diagrams and Lyapunov exponent curves of the model parameters are drawn by the numerical method, and the mechanism of chaos evolution of the gear transmission system is analyzed. According to the Floquet theory, variation curves of the maximum Floquet multiplier with pinion speed and support stiffness ratio are drawn by numerical methods. Combined with the bifurcation diagram of the system, the influences of model parameter on the stability of the system are analyzed, and the evolution laws of periodic motion and bifurcation phenomenon are gained. These research results provide the theoretical evidence of model parameter design of the locomotive transmission system.

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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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Nonlinear dynamic analysis of a rub-impact rotor supported by oil film bearings

Cited by 48 publications

References 19 publications

Nonlinear analysis of the locomotive traction system with rub-impact and nonlinear stiffness

Nonlinear analysis of the locomotive traction system with rub-impact and nonlinear stiffness

Chaos and Stability of Spur Gear Transmission System for Locomotive Based on Energy Method and Floquet Theory

Chaos and Bifurcation in Nonlinear Inextensional Rotating Shafts

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