Nonlinear coupled dynamics of an asymmetric double-disc rotor-bearing system under rub-impact and oil-film forces

Xiang, Ling; Hu, Aijun; Hou, Lanlan; Xiong, Yeping; Xing, J.T.

doi:10.1016/j.apm.2015.11.028

Cited by 45 publications

(20 citation statements)

References 20 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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“…In order to investigate the properties of nonlinear, rotor-bearing systems, mathematical models are important [2]. The mathematical models can generally be divided into two categories: the numerical model and the physical model [3].…”

Section: Introductionmentioning

confidence: 99%

The NARX Model-Based System Identification on Nonlinear, Rotor-Bearing Systems

Liu

Zhu

et al. 2017

Applied Sciences

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Abstract:In practice, it is usually difficult to obtain the physical model of nonlinear, rotor-bearing systems due to uncertain nonlinearities. In order to solve this issue to conduct the analysis and design of nonlinear, rotor-bearing systems, in this study, a data driven NARX (Nonlinear Auto-Regressive with exogenous inputs) model is identified. Due to the lack of the random input signal which is required in the identification of a system s NARX model, for nonlinear, rotor-bearing systems, a new multi-harmonic input based model identification approach is introduced. Moreover, the identification results of NARX models on the nonlinear, rotor-bearing systems are validated under different conditions (such as: low speed, critical speed, and over critical speed), illustrating the applicability of the proposed approach. Finally, an experimental test is conducted to identify the NARX model of the nonlinear rotor test rig, showing that the NARX model can be used to reproduce the characteristics of the underlying system accurately, which provides a reliable model for dynamic analysis, control, and fault diagnosis of the nonlinear, rotor-bearing system.

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“…Luo et al [15] study the periodic motion of the dual-span rotor with the looseness-rubbing coupling fault and point out that the response of the rotor system mainly consists of chaotic motion. Xiang et al [16] used dynamics theory to establish the mathematical model of an asymmetric double-disc rotor-bearing system which was considering nonlinear oil film force and rub-impact force and pointed out that the phenomenon of the simulation would have a considerable value as diagnostic tools in settling oil film instability. Hu et al [17] designed a dedicated experimental setup to validate the interaction between rubs and oil film vibration and put forward a model considering nonlinear rub-impact forces and nonlinear oil film forces to analyze the complicated nonlinear vibrations of the rotor-bearing system.…”

Section: Introductionmentioning

confidence: 99%

Response Characteristics of Looseness‐Rubbing Coupling Fault in Rotor‐Sliding Bearing System

Liu

Xue

Jia

et al. 2017

Mathematical Problems in Engineering

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For the diagnosis of looseness-rubbing coupling fault of rotor-sliding bearing system caused by bolt looseness fault, the mechanical model and finite element model of dual-disc rotor system with looseness-rubbing coupling fault are established based on the nonlinear finite element method, nonlinear oil film force, looseness stiffness model, and Hertz contact theory. With the augmented Lagrange method, contact constraint conditions are dealt with to ensure that the rotary disk and casing contact with each other meeting boundary penetrating depth within the prescribed tolerance range. And then the dynamics characteristics of the health rotor system supported by sliding bearing are studied. Combined with experimental study and simulation analysis, it is found that the looseness-rubbing coupling fault is often characterized by rubbing fault, the lower part of the time-domain fluctuated shape is denser, while the upper part is relatively loose, and multiple nested half ellipse is shown in orbit diagram. Because of the loosing stiffness and rubbing force, the phenomenon of unstable oil film is depressed. The appearance of the first-and second-order oil film oscillation phenomenon is delayed. It could be used as a theoretical basis for diagnosing looseness-rubbing coupling fault of rotor-sliding bearing system.

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Nonlinear coupled dynamics of an asymmetric double-disc rotor-bearing system under rub-impact and oil-film forces

Cited by 45 publications

References 20 publications

Chaos and Bifurcation in Nonlinear Inextensional Rotating Shafts

Chaos and Bifurcation in Nonlinear Inextensional Rotating Shafts

The NARX Model-Based System Identification on Nonlinear, Rotor-Bearing Systems

Response Characteristics of Looseness‐Rubbing Coupling Fault in Rotor‐Sliding Bearing System

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