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

Nonlinear Dynamics

Volumn 79, Issue 1, 2015, Pages 229-240

  Hou, Lei ^a   Chen, Yushu ^a   Cao, Qingjie ^a   Zhang, Zhiyong ^a  

^a HARBIN INSTITUTE OF TECHNOLOGY   (China)

Author keywords

Maneuver load; Nonlinear response; Rotor ball bearing system; Sub harmonic resonance; Turning maneuver

Indexed keywords

AIRCRAFT; BALL BEARINGS; HARMONIC ANALYSIS; LOADS (FORCES); RESONANCE;

BEARING SYSTEMS; BIFURCATION DIAGRAM; HERTZIAN CONTACT FORCE; NON-LINEAR RESPONSE; NONLINEAR DYNAMIC BEHAVIORS; QUASI-PERIODIC MOTION; SUB-HARMONIC RESONANCES; TURNING MANEUVERS;

EQUATIONS OF MOTION;

EID: 84925489457     PISSN: 0924090X     EISSN: 1573269X     Source Type: Journal    
DOI: 10.1007/s11071-014-1659-8     Document Type: Article

References (39)

1. Chen, Y.S., Zhang, H.B.: Review and prospect on the research of dynamics of the aero-engine system. Acta Aeronautica et Astronautica Sinica 32, 1–22 (2011)
2. Liew, A., Feng, N., Hahn, E.J.: Transient rotor dynamic modeling of rolling element bearing systems. J. Eng. Gas Turbines Power 124, 984–991 (2002)
3. Sinou, J.J.: Non-linear dynamics and contacts of an unbalanced flexible rotor supported on ball bearings. Mech. Mach. Theory 44, 1713–1732 (2009)
4. Tomovic, R., Miltenovic, V., Banic, M., Miltenovic, A.: Vibration response of rigid rotor in unloaded rolling element bearing. Int. J. Mech. Sci. 52, 1176–1185 (2010)
5. Tiwari, M., Gupta, K., Prakash, O.: Effect of radial internal clearance of a ball bearing on the dynamics of a balanced horizontal rotor. J. Sound Vib. 238(5), 723–756 (2000)
6. Harsha, S.P.: Non-linear dynamic response of a balanced rotor supported on rolling element bearings. Mech. Syst. Signal Process. 19, 551–578 (2005)
7. Harsha, S.P.: Nonlinear dynamic response of a balanced rotor supported by rolling element bearings due to radial internal clearance effect. Mech. Mach. Theory 41, 688–706 (2006)
8. Bai, C., Xu, Q., Zhang, X.: Nonlinear stability of balanced rotor due to effect of ball bearing internal clearance. Appl. Math. Mech. Eng. 27(2), 175–186 (2006)
9. Tiwari, M., Gupta, K., Prakash, O.: Dynamic response of an unbalanced rotor supported on ball bearings. J. Sound Vib. 238(5), 757–779 (2000)
10. Gupta, T.C., Gupta, K., Sehgal, D.K.: Nonlinear dynamics and chaos of an unbalanced flexible rotor supported by deep groove ball bearings with radial internal clearance. In: IUTAM Symp. Emerg. Trends Rotor Dyn., pp. 322–333 (2011)
11. Lioulios, A.N., Antoniadis, I.A.: Effect of rotational speed fluctuations on the dynamic behaviour of rolling element bearings with radial clearances. Int. J. Mech. Sci. 48, 809–829 (2006)
12. Harsha, S.P., Sandeep, K., Prakash, R.: Nonlinear dynamic response of a rotor bearing system due to surface waviness. Nonlinear Dyn. 37, 91–114 (2004)
13. Kankar, P.K., Sharma, S.C.: Vibration based performance prediction of ball bearings caused by localized defects. Nonlinear Dyn. 69, 847–875 (2012)
14. Harsha, S.P., Kankar, P.K.: Stability analysis of a rotor bearing system due to surface waviness and number of balls. Int. J. Mech. Sci. 46, 1057–1081 (2004)
15. Changqing, B., Qingyu, X.: Dynamic model of ball bearings with internal clearance and waviness. J. Sound Vib. 294, 23–48 (2006)
16. Jang, G., Jeong, S.-W.: Vibration analysis of a rotating system due to the effect of ball bearing waviness. J. Sound Vib. 269, 709–726 (2004)
17. Han, D.C., Choi, S.H., Lee, Y.H., Kim, K.H.: The nonlinear and ball pass effects of a ball bearing on rotor vibration. KSME Int. J. 12(3), 396–404 (1998)
18. Lee, Y.S., Lee, C.W.: Modelling and vibration analysis of misaligned rotor-ball bearing systems. J. Sound Vib. 224(1), 17–22 (1999)
19. Harsha, S.P., Sandeep, K., Prakash, R.: The effect of speed of balanced rotor on nonlinear vibrations associated with ball bearings. Int. J. Mech. Sci. 45, 725–740 (2003)
20. Kim, Y.B., Noah, S.T.: Bifurcation analysis for a modified jeffcott rotor with bearing clearances. Nonlinear Dyn. 1, 221–241 (1990)
21. Kim, Y.B., Noah, S.T.: Quasi-periodic response and stability analysis for a non-linear Jeffcott rotor. J. Sound Vib. 190(2), 239–253 (1996)
22. Villa, C., Sinou, J.J., Thouverez, F.: Stability and vibration analysis of a complex flexible rotor bearing system. Commun. Nonlinear Sci. Numer. Simul. 13, 804–821 (2008)
23. Xu, L., Li, Y.: An approach for calculating the dynamic load of deep groove ball bearing joints in planar multibody systems. Nonlinear Dyn. 70, 2145–2161 (2012)
24. Young, T.H., Shiau, T.N., Kuo, Z.H.: Dynamic stability of rotor-bearing systems subjected to random axial forces. J. Sound Vib. 305, 467–480 (2007)
25. Bai, C., Zhang, H.: Effects of axial preload of ball bearing on the nonlinear dynamic characteristics of a rotor-bearing system. Nonlinear Dyn. 53, 173–190 (2008)
26. Zhou, H., Luo, G., Chen, G., Wang, F.: Analysis of the nonlinear dynamic response of a rotor supported on ball bearings with floating-ring squeeze film dampers. Mech. Mach. Theory 59, 65–77 (2013)
27. Leblanc, A., Nelias, D., Defaye, C.: Nonlinear dynamic analysis of cylindrical roller bearing with flexible rings. J. Sound Vib. 325, 145–160 (2009)
28. Nataraj, C., Harsha, S.P.: The effect of bearing cage run-out on the nonlinear dynamics of a rotating shaft. Commun. Nonlinear Sci. Numer. Simul. 13, 822–838 (2008)
29. Bai, C., Zhang, H.: Subharmonic resonance of a symmetric ball bearing-rotor system. Int. J. Nonlinear Mech. 50, 1–10 (2013)
30. Lin, F.S., Meng, G., Eric, H.: Nonlinear dynamics of a cracked rotor in a maneuvering aircraft. Appl. Math. Mech. Eng. 25, 1139–1150 (2004)
31. Yang, Y.F., Ren, X.M., Qin, W.Y., Wu, Y.F., Zhi, X.Z.: Analysis on the nonlinear response of cracked rotor in hover flight. Nonlinear Dyn. 61, 183–192 (2010)
32. Hou, L., Chen, Y.S., Cao, Q.J.: Nonlinear vibration phenomenon of an aircraft rub-impact rotor system due to hovering flight. Commun. Nonlinear Sci. Numer. Simul. 19, 286–297 (2014)
33. Liew, A., Feng, N., Hahn, E.J.: Transient rotordynamic modeling of rolling element bearing systems. J. Eng. Gas Turbines Power 124, 984–991 (2002)
34. Zhu, C.S., Chen, Y.J.: General dynamic model of aero-engine’s rotor system during maneuvering flight. J. Aerosp. Power 24, 371–377 (2009)
35. Gao, J., Zhu, P.S., Gao, Z.H.: Advanced Flight Dynamics. National Defence Industry Press, Beijing (2007)
36. Mevel, B., Guyader, J.L.: Experiments on routes to chaos in ball bearings. J. Sound Vib. 318, 549–564 (2008)
37. Lichtenberg, A.J., Lieberman, M.A.: Regular and Stochastic Dynamics. Springer, New York (1992)
38. Cao, Q., Wiercigroch, M., Pavlovskaia, E.E., Grebogi, C., Thompson, J.M.T.: Archetypal oscillator for smooth and discontinuous dynamics. Phys. Rev. E 74, 046218 (2006)
39. Cao, Q., Xiong, Y., Wiercigroch, M.: Resonances of the SD oscillator due to the discontinuous phase. J. Appl. Anal. Comput. 1, 183–191 (2011)