Analysis of the nonlinear dynamic response of a rotor supported on ball bearings with floating-ring squeeze film dampers

Zhou, Hu; Luo, Guihuo; Guo, Chunyu; Wang, Fei

doi:10.1016/j.mechmachtheory.2012.09.002

Cited by 59 publications

(31 citation statements)

References 18 publications

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“…In this paper, the response of the rotor is shown in Figure 5; it is easy to find the VC frequency and 2, 3 VC frequency which represents the ball passage frequency. The same conclusion was found in [12]; therefore, the model established in this paper is further validated.…”

Section: Bearing Model With Inner Race Defectsupporting

confidence: 80%

“…the first 500 periods generated by the numerical integration is deliberately excluded in order to discard the transient solutions. The parameters of the system are shown as follows: [12] on the same computation conditions. In this paper, the response of the rotor is shown in Figure 5; it is easy to find the VC frequency and 2, 3 VC frequency which represents the ball passage frequency.…”

Section: Bearing Model With Inner Race Defectmentioning

confidence: 99%

“…In order to reduce the nonlinear vibration, rotors are often supported by ball bearings with squeeze film dampers (SFD) in many applications [12]. SFD can be designed through introducing a centralized spring and filling the clearance with lubrication oil.…”

Section: Introductionmentioning

confidence: 99%

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Dynamic Analysis of a Rotor-Bearing-SFD System with the Bearing Inner Race Defect

Zhang

Lin

et al. 2017

Shock and Vibration

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In this paper, the dynamic behavior of a rotor-bearing-SFD system with the inner race defect of bearing is investigated. The contact force between the rolling element and the race is calculated in Hertzian contact and elastohydrodynamic lubrication condition. The supporting force of the SFD is simulated by integrating the pressure distribution derived from Reynolds's equation. The equations of motion of the rotor-bearing-SFD system are derived and solved using the fourth-order Runge-Kutta method. The dynamic behavior and the fault characteristics are analyzed with two configurations of the SFD: (1) mounted on the unfaulted bearing and (2) mounted on the faulty bearing. According to the analysis of time-frequency diagram, waterfall plot, and spectral diagram, the results show that the characteristics of inner race defects on bearing frequencies are related to the characteristic multiple frequency of the inner race defect and the fundamental frequency. The speed and defect width have different influence on the distribution and amplitude of frequency. The SFD can enhance the system stability under the bearing fault but the enhancement decreases with the increasing speed. Meanwhile, the beneficial effect of the SFD varies according to the mounted position in the rotor system.

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Section: Bearing Model With Inner Race Defectsupporting

confidence: 80%

Section: Bearing Model With Inner Race Defectmentioning

confidence: 99%

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Dynamic Analysis of a Rotor-Bearing-SFD System with the Bearing Inner Race Defect

Zhang

Lin

et al. 2017

Shock and Vibration

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“…Zhao et al (1994) investigated the stability as well as the unbalance response of a rotor supported in an eccentric SFD and found that the eccentricity enhanced undesirable nonsynchronous vibrations and decreased the stable working range of the rotor system. Zhou et al (2013) developed a nonlinear dynamic model of a rotor-ball bearing system with a floating-ring SFD and discussed the effects of supporting stiffness, floating-ring mass, and bearing stiffness in preventing nonsynchronous system response. Consequently, there is no doubt that the application of SFD in rotor system can enhance the operational stability to a large extent.…”

Section: Introductionmentioning

confidence: 99%

Dynamic characteristics analysis of a misaligned rotor-bearing system with squeeze film dampers

Zhang

Lin

et al. 2016

J. Zhejiang Univ. Sci. A

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Abstract:In this paper, a dynamic model is established for a two-stage rotor system connected by a gear coupling and supported on ball bearings with squeeze film dampers (SFDs). The nonlinear dynamic behavior of the rotor system is studied under misalignment fault condition. The meshing force of the gear coupling is calculated considering the deformation of the tooth caused by torque transmission and dynamic vibration. The contact force between the ball and race is computed based on the Hertzian elastic contact deformation theory and the elastohydrodynamic lubrication theory. The supported force of SFD is simulated by integrating the pressure distribution derived from Reynolds's equation. The equations of motion are rewritten in nondimensional differential form, and the fourth-order Runge-Kutta method is employed to solve the nonlinear dynamic equilibrium equations iteratively. To verify the validity of the dynamic model and the correctness of the numerical solution method, the experimental power spectra of the rotor system under various misalignment degrees are compared with the analytical results. The effects of several important parameters, such as the lubrication of the ball bearing, the centralizing spring stiffness, the radial clearance of SFD, and the misalignment of gear coupling, on the dynamic characteristics of the rotor system are investigated and discussed mainly focusing on the system stability. The response spectra, bifurcation diagrams, and Pointcaré maps are analyzed accordingly. These parametric analyses are very helpful in the development of a high-speed rotor system and provide a theoretical reference for the vibration control and optimal design of rotating machinery.

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“…A five-degree-of-freedom model was improved to study the effect of axial preload on the nonlinear dynamic characteristics of a flexible rotor system supported by angular contact ball bearings, which shows that the axial vibrations play a significant role to affect the stability of the system [25]. Numerical simulations of a rotor-ball bearing system with floatingring squeeze film dampers were carried out by Zhou [26], the results of which show that the supporting stiffness and the floating-ring mass affect the speed range of nonsynchronous motion response of the rotor system significantly. Taken into account the flexibility of the rings, the dynamic behavior of a cylindrical roller bearing leads to a smoother global response with less cage instabilities [27].…”

Section: Introductionmentioning

confidence: 99%

Turning maneuver caused response in an aircraft rotor-ball bearing system

et al. 2014

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This paper focuses on the nonlinear response caused by aircraft turning flight in a rotor-ball bearing system with internal clearances and Hertzian contact forces. The equations of motion are formulated by using Lagrange equation, where the aircraft turning flight is modeled as a maneuver load. Numerical analyses are carried out to detect the response of the system under maneuver load. The sub-harmonic resonance and irregular motions subjected to the maneuver load are obtained and presented by bifurcation diagrams, amplitude spectrum diagrams, Poincare maps and phase portraits. Two typical patterns that the maneuver load inducing response are found: one is the alternating of period 2 motion and period 1 motion for ω = 1,350 rad/s; the other is the alternating of quasi-periodic motion and period 2 motion for ω = 1,470 rad/s. Moreover, mass eccentricity shows a significant effect on the sub-harmonic resonance of the rotor-ball bearing system under turning flight, which is different from that without considering maneuvering flight condition (Bai and Zhang in Int J Nonlinear Mech 50:1-10, 2013). The results obtained in this paper will contribute an understanding of the nonlinear dynamic behaviors of aircraft rotor systems in maneuvering flight.

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Analysis of the nonlinear dynamic response of a rotor supported on ball bearings with floating-ring squeeze film dampers

Cited by 59 publications

References 18 publications

Dynamic Analysis of a Rotor-Bearing-SFD System with the Bearing Inner Race Defect

Dynamic Analysis of a Rotor-Bearing-SFD System with the Bearing Inner Race Defect

Dynamic characteristics analysis of a misaligned rotor-bearing system with squeeze film dampers

Turning maneuver caused response in an aircraft rotor-ball bearing system

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