CLC number: TH133.31
On-line Access: 2016-08-05
Received: 2015-05-19
Revision Accepted: 2015-10-13
Crosschecked: 2016-07-24
Cited: 3
Clicked: 6195
Citations: Bibtex RefMan EndNote GB/T7714
Liang Ma, Jun-hong Zhang, Jie-wei Lin, Jun Wang, Xin Lu. Dynamic characteristics analysis of a misaligned rotor–bearing system with squeeze film dampers[J]. Journal of Zhejiang University Science A, 2016, 17(8): 614-631.
@article{title="Dynamic characteristics analysis of a misaligned rotor–bearing system with squeeze film dampers",
author="Liang Ma, Jun-hong Zhang, Jie-wei Lin, Jun Wang, Xin Lu",
journal="Journal of Zhejiang University Science A",
volume="17",
number="8",
pages="614-631",
year="2016",
publisher="Zhejiang University Press & Springer",
doi="10.1631/jzus.A1500111"
}
%0 Journal Article
%T Dynamic characteristics analysis of a misaligned rotor–bearing system with squeeze film dampers
%A Liang Ma
%A Jun-hong Zhang
%A Jie-wei Lin
%A Jun Wang
%A Xin Lu
%J Journal of Zhejiang University SCIENCE A
%V 17
%N 8
%P 614-631
%@ 1673-565X
%D 2016
%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.A1500111
TY - JOUR
T1 - Dynamic characteristics analysis of a misaligned rotor–bearing system with squeeze film dampers
A1 - Liang Ma
A1 - Jun-hong Zhang
A1 - Jie-wei Lin
A1 - Jun Wang
A1 - Xin Lu
J0 - Journal of Zhejiang University Science A
VL - 17
IS - 8
SP - 614
EP - 631
%@ 1673-565X
Y1 - 2016
PB - Zhejiang University Press & Springer
ER -
DOI - 10.1631/jzus.A1500111
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 non-dimensional 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.
The authors present a research work on the dynamic response of rotor-bearing system supported on squeeze film damper with misaligned gear coupling fault. It is a topic of interest to researchers in the related areas.
[1]Alfares, M.A., Elsharkawy, A.A., 2003. Effects of axial preloading of angular contact ball bearings on the dynamics of a grinding machine spindle system. Journal of Materials Processing Technology, 136(1-3):48-59.
[2]Al-Hussain, K., Redmond, I., 2002. Dynamic response of two rotors connected by rigid mechanical coupling with parallel misalignment. Journal of Sound and Vibration, 249(3):483-498.
[3]Cameron, A., Mc Ettles, C., 1976. Basic Lubrication Theory. Ellis Horwood Ltd., UK.
[4]Chang-Jian, C.W., 2010. Non-linear dynamic analysis of a HSFD mounted gear-bearing system. Nonlinear Dynamics, 62(1-2):333-347.
[5]Chang-Jian, C.W., Kuo, J.K., 2009. Bifurcation and chaos for porous squeeze film damper mounted rotor–bearing system lubricated with micropolar fluid. Nonlinear Dynamics, 58(4):697-714.
[6]Chang-Jian, C.W., Yau, H.T., Chen, J.L., 2010. Nonlinear dynamic analysis of a hybrid squeeze-film damper-mounted rigid rotor lubricated with couple stress fluid and active control. Applied Mathematical Modelling, 34(9):2493-2507.
[7]Hagiu, G.D., Gafitanu, M.D., 1997. Dynamic characteristics of high speed angular contact ball bearings. Wear, 211(1):22-29.
[8]Hamrock, B.J., Dowson, D., 1977. Isothermal elastohydrodynamic lubrication of point contacts: part III—fully flooded results. Journal of Lubrication Technology, 99(2):264-275.
[9]Harris, T., 1991. Rolling Bearing Analysis. John Wiley and Sons, Inc., USA, p.1013.
[10]Harsha, S.P., 2006. Nonlinear dynamic analysis of a high-speed rotor supported by rolling element bearings. Journal of Sound and Vibration, 290(1-2):65-100.
[11]Harsha, S.P., Sandeep, K., Prakash, R., 2003. The effect of speed of balanced rotor on nonlinear vibrations associated with ball bearings. International Journal of Mechanical Sciences, 45(4):725-740.
[12]Hertz, H., 1881. On the contact of elastic solids. Journal Fur Die Reine Und Angewandte Mathematik, 92(110):156-171.
[13]Houpert, L., 1997. A uniform analytical approach for ball and roller bearings calculations. Journal of Tribology, 119(4):851-858.
[14]Inayat-Hussain, J.I., 2005. Bifurcations of a flexible rotor response in squeeze-film dampers without centering springs. Chaos, Solitons & Fractals, 24(2):583-596.
[15]Inayat-Hussain, J.I., 2009. Bifurcations in the response of a flexible rotor in squeeze-film dampers with retainer springs. Chaos, Solitons & Fractals, 39(2):519-532.
[16]Lee, Y.S., Lee, C.W., 1999. Modeling and vibration analysis of misaligned rotor-ball bearing systems. Journal of Sound and Vibration, 224(1):49-67.
[17]Li, M., Yu, L., 2001. Analysis of the coupled lateral torsional vibration of a rotor-bearing system with a misaligned gear coupling. Journal of Sound and Vibration, 243(2):283-300.
[18]Liu, H., Xu, H., Ellison, P.J., et al., 2010. Application of computational fluid dynamics and fluid–structure interaction method to the lubrication study of a rotor–bearing system. Tribology Letters, 38(3):325-336.
[19]Ma, H., Li, H., Niu, H., et al., 2013. Nonlinear dynamic analysis of a rotor-bearing-seal system under two loading conditions. Journal of Sound and Vibration, 332(23):6128-6154.
[20]Ma, H., Li, H., Niu, H., et al., 2014. Numerical and experimental analysis of the first and second-mode instability in a rotor-bearing system. Archive of Applied Mechanics, 84(4):519-541.
[21]Ma, H., Wang, X., Niu, H., et al., 2015. Oil-film instability simulation in an overhung rotor system with flexible coupling misalignment. Archive of Applied Mechanics, 85(7):893-907.
[22]Maday, C.J., 2002. The foundation of the Sommerfeld transformation. Journal of Tribology, 124(3):645-646.
[23]Nonato, F., Cavalca, K.L., 2014. An approach for including the stiffness and damping of elastohydrodynamic point contacts in deep groove ball bearing equilibrium models. Journal of Sound and Vibration, 333(25):6960-6978.
[24]Prabhakar, S., Sekhar, A., Mohanty, A., 2001. Vibration analysis of a misaligned rotor–coupling–bearing system passing through the critical speed. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 215(12):1417-1428.
[25]Prabhakar, S., Sekhar, A., Mohanty, A., 2002. Crack versus coupling misalignment in a transient rotor system. Journal of Sound and Vibration, 256(4):773-786.
[26]Rahnejat, H., Gohar, R., 1985. The vibrations of radial ball bearings. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 199(3):181-193.
[27]Rohde, S.M., Li, D.F., 1980. A generalized short bearing theory. Journal of Lubrication Technology, 102(3):278-281.
[28]Rybczynski, J., 2006. Evaluation of tolerable misalignment areas of bearings of multi-support rotating machine. ASME Turbo Expo 2006: Power for Land, Sea, and Air, Barcelona, Spain, p.1179-1186.
[29]Rybczynski, J., 2011. The possibility of evaluating turbo-set bearing misalignment defects on the basis of bearing trajectory features. Mechanical Systems and Signal Processing, 25(2):521-536.
[30]Sinou, J.J., 2009. Non-linear dynamics and contacts of an unbalanced flexible rotor supported on ball bearings. Mechanism and Machine Theory, 44(9):1713-1732.
[31]Tian, L., Wang, W.J., Peng, Z.J., 2012. Effects of bearing outer clearance on the dynamic behaviours of the full floating ring bearing supported turbocharger rotor. Mechanical Systems and Signal Processing, 31:155-175.
[32]Wan, Z., Jing, J.P., Meng, G., et al., 2012. Theoretical and experimental study on the dynamic response of multi-disk rotor system with flexible coupling misalignment. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 226(12):2874-2886.
[33]Wijnant, Y.H., Wensing, J.A., Nijen, G.C., 1999. The influence of lubrication on the dynamic behavior of ball bearings. Journal of Sound and Vibration, 222(4):579-596.
[34]Xu, M., Marangoni, R., 1994. Vibration analysis of a motor-flexible coupling-rotor system subject to misalignment and unbalance, part I: theoretical model and analysis. Journal of Sound and Vibration, 176(5):681-691.
[35]Zhang, Y.Y., Wang, X.L., Zhang, X.Q., et al., 2014. Dynamic analysis of a high-speed rotor-ball bearing system under elastohydrodynamic lubrication. Journal of Vibration and Acoustics, 136(6):061003.
[36]Zhao, G., Liu, Z., Chen, F., 2008. Meshing force of misaligned spline coupling and the influence on rotor system. International Journal of Rotating Machinery, 2008: 321308.
[37]Zhao, J., Linnett, I., Mclean, L., 1994. Subharmonic and quasi-periodic motions of an eccentric squeeze film damper-mounted rigid rotor. Journal of Vibration and Acoustics, 116(3):357-363.
[38]Zhou, H.L., Luo, G.H., Chen, G., et al., 2013. Analysis of the nonlinear dynamic response of a rotor supported on ball bearings with floating-ring squeeze film dampers. Mechanism and Machine Theory, 59:65-77.
[39]Zhu, C., Robb, D., Ewins, D., 2002. Analysis of the multiple-solution response of a flexible rotor supported on non-linear squeeze film dampers. Journal of Sound and Vibration, 252(3):389-408.
Open peer comments: Debate/Discuss/Question/Opinion
<1>