Nonlinear dynamic analysis of a rotor/bearing/seal system

Li, Wei; Yang, Yi; De-ren, Sheng; Chen, Jianhong; Che, Yongqiang

doi:10.1631/jzus.a1000130

Cited by 20 publications

(15 citation statements)

References 14 publications

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“…The kinetic energy and strain energy of the components, shaft units and disc, can be derived using the projected angle method (Li et al, 2011). Fig.…”

Section: Rotating Coordinatementioning

confidence: 99%

“…(14) is a second-order differential equation including coefficient matrices, which describes the nonlinear motion of the double disc rotor-seal system. The dimensionless equation of motion is difficult to solve by conventional perturbation methods (Li, 2011). Therefore, the fourth-order Runge-Kutta method was applied to obtain the numerical response solutions of the system.…”

Section: System Motion Equationsmentioning

confidence: 99%

“…Fei et al (2013) developed a procedure, based on the finite element method (FEM), which can calculate the dynamics of dual rotor systems and obtain the coupling motion equations of the subsystems. Li et al (2011) applied the Hamilton principle and the FEM to establish a new dynamic model of a rotor system. The model was used to analyze the dynamic behavior of a rotor system based on the Timoshenko model, with the coupled effects of the nonlinear oil film force, the nonlinear seal force, and the mass eccentricity of the disc.…”

Section: Introductionmentioning

confidence: 99%

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Numerical analysis of a nonlinear double disc rotor-seal system

Zhou

Wei

et al. 2014

J. Zheijang Univ.-Sci.

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Based on the finite element method (FEM) and the Lagrange equation, a novel nonlinear model of a double disc rotor-seal system, including the coupled effects of the gravity force of the discs, Muszynska's nonlinear seal fluid dynamic force, and the mass eccentricity of the discs, is proposed. The fourth order Runge-Kutta method is applied to solve the motion equations of the system and numerically determine the vibration response of the center of the discs. The dynamic behavior of the system is analyzed using bifurcation diagrams, time-history diagrams, axis orbit diagrams, Poincaré maps, and amplitude spectrums. With the rotor speed increasing, the system presents rich forms including periodic, multi-periodic, quasi-periodic, and chaotic motion. We also discuss the effects of the distance between the two discs, the mass of the discs, seal clearance, seal length, and seal drop pressure on the dynamic behavior of the system. The numerical results demonstrate that a symmetrical disc structure, small disc mass, proper seal clearance, long seal length and high seal drop pressure can enhance the stability of a double disc rotor-seal system. The results provide a theoretical foundation for the design of multi-stage sealing systems.

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“…The kinetic energy and strain energy of the components, shaft units and disc, can be derived using the projected angle method (Li et al, 2011). Fig.…”

Section: Rotating Coordinatementioning

confidence: 99%

Section: System Motion Equationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Numerical analysis of a nonlinear double disc rotor-seal system

Zhou

Wei

et al. 2014

J. Zheijang Univ.-Sci.

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“…Li [8] studied the dynamic stability of rotor system with labyrinth seal based on the adopted model and Newmark integration method. Nonlinear dynamic and stability of the rotor-bearing-seal system were investigated both theoretically and experimentally by Shen [9]. The CFD method and a rotating frame were applied to analyse the influence of different steam parameters on the leakage characteristics and dynamic characteristic coefficients [10].…”

Section: Introductionmentioning

confidence: 99%

Dynamic response of a cracked rotor-bearing-seal system

Huang

2019

MATEC Web Conf.

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With the structural parameters of the rotation machinery increased, the seal fluid induced force imposed on the rotor will significantly increase. Taking a cracked rotor-bearing-seal system as object the non-linear dynamic behaviours of the coupled system are investigated using numerical integration method. For the crack in shaft, the segmented switch function is applied to express the process of the crack's opening and closing in rotation, and the cross stiffness originated from crack is considered. Various nonlinear phenomena compressing periodic, quasi-periodic and chaotic motions in the rotor system are analysed. The research results show that the unstable form of the rotor system is Hopf bifurcation when the crack depth is smaller. The influence to the response of the system increased along with the crack depth, the unstable form of the coupled system is period-doubling bifurcation. The seal clearance has an important impact on stability of the cracked rotor system. In other words, the fluid induced force can reduce the periodic responses of the rotor. It is indicated that this study can contribution to a further understanding of the nonlinear of such a rotor-bearing system with crack and seal.

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“…They found that the bearing model with turbulent flow effect generated higher hydrodynamic forces when compared to the one without this effect, which highlights the importance of considering such phenomenon during the analysis of high speed hydrodynamic bearings. Li et al (2011a;2011b) applied the Hamilton principle and the finite element method (FEM) to construct a novel nonlinear model of a rotor/bearing/seal system. The dynamic behavior of the system is illustrated by bifurcation diagrams, large Lyapunov exponents, phase trajectory diagrams, and Poincare maps.…”

Section: Introductionmentioning

confidence: 99%

Modeling a two-span rotor system based on the Hamilton principle and rotor dynamic behavior analysis

De-ren

Chen

et al. 2014

J. Zhejiang Univ. Sci. A

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A nonlinear dynamic model of a two-span rotor system is constructed based on the Hamilton principle and the finite element method. The Musznyska model and the short bearing model are employed to describe the nonlinear seal force and oil-film force. The fourth-order Runge-Kutta method is used to calculate the numerical solutions. The bifurcation diagrams, time-history diagrams, phase trajectories, and Poincare maps are presented to analyze the dynamic behavior of the bearing center and the disk center in the horizontal direction. The numerical results indicate that the rotational speed, the nonlinear seal force, the oil-film force, and the stiffness of the coupling have a significant effect on the stability of the rotor system. The dynamic behavior of the two-span rotor system is more complicated when impacted by the nonlinear seal force and oil-film force.

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Nonlinear dynamic analysis of a rotor/bearing/seal system

Cited by 20 publications

References 14 publications

Numerical analysis of a nonlinear double disc rotor-seal system

Numerical analysis of a nonlinear double disc rotor-seal system

Dynamic response of a cracked rotor-bearing-seal system

Modeling a two-span rotor system based on the Hamilton principle and rotor dynamic behavior analysis

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