Nonlinear Dynamics, Volume 1

7 Investigation on Friction-Excited Vibration of Flexibly Supported Shafting System 65 7.4 Conclusions The self-excited vibration easily induced by the friction from water-lubricated rubber bearings when the shaft work at a specific range, and the associated vibration at the instability frequency is magnified several times and destroy the performance of the system. Abased on the above analysis, the frequency feature of self-excited is characterized by the support instability modulated by the shaft speed. The coupling effect of rotational vibration of support and friction in the shaft-support interface is decisive for instability, and the associated mode shape of support is determinant for self-excited vibration. Especially, the bearing normal load, friction coefficient and shaft speed are essential factors of the shaft-support interface friction which can induce shaft and support vibration. The above results presented in this work can provide references for ascertaining abnormal vibration and squeal in the shafting system. Acknowledgement This research is sponsored by the National Natural Science Foundation of China (NSFC), Grant no. 11172166. References 1. Orndorff Jr., R.L.: Water-lubricated rubber bearings, history and new development. Naval Eng. J. 97(7), 39–52 (1985) 2. Chen, Z.Y.: Vibration of Ship Propulsion Shafting System. Shanghai Jiao Tong University Press (1987) 3. Carlton, J.: Marine Propellers and Propulsion. Butterworth-Heinemann (2012) 4. Hirani, H., Verma, M.: Tribological study of elastomeric bearings for marine propeller shaft system. Tribol. Int. 42(2), 378–390 (2009) 5. Yang, L.Y.: Study on lubrication an rub impact characteristics of stern shaft-bearing in ships. Master Thesis, Wuhan University of Technology (2010) 6. Zhang, L.: Mechanism analysis and experimental research on vibration noise phenomenon of water-lubricated composite rubber bearing. Master Thesis, Wuhan University of Technology (2013) 7. Zhang, Z.G., Zhang, Z.Y., Wang, J., et al.: Friction induced self-excited vibration in a propeller shaft system. J. Vib. Shock 32(19), 153–158 (2013) 8. Zhang, Z.G., Chen, F., Zhang, Z.Y., et al.: Analysis of friction-induced vibration in a propeller-shaft system with consideration of bearing-shaft friction. Proc. Inst. Mech. Eng., C: J. Mech. Eng. Sci. 228(8), 1131–1328 (2014) 9. Wang, L., Yu, Q., Liu, Y.J.: Characteristic analysis and experimental study on friction-induced noise in water-lubricated rubber bearings. J. Wuhan Univ. Technol. (Transp. Sci. Eng.) 2015(2), (2015) 10. Krauter, A.I.: Generation of squeal/chatter in water-lubricated elastomeric bearings. ASME J. Lubr. Technol. 103, 406–412 (1981) 11. Simpson, T.A., Ibrahim, R.A.: Nonlinear friction-induced vibration in water-lubricated bearings. J. Vib. Control 2(1), 87–113 (1996) 12. Eriksson, M., Jacobson, S.: Friction behavior and squeal generation of disc brakes at low speeds. Proc. Inst. Mech. Eng., D: J. Automob. Eng. 215(12), 1245–1256 (2001) 13. Mihajlovic´, N., Van de Wouw, N., Rosielle, P., et al.: Interaction between torsional and lateral vibrations in flexible rotor systems with discontinuous friction. Nonlinear Dyn. 50(3), 679–699 (2007) 14. Li, F., Shuai, C.G., He, L.: Dynamic analysis of rotor system coupled by rubber bearings. Noise Vib. Control 31(3), 37–41 (2011) 15. Zhang, Z.G., Zhang, Z.Y., Chen, F., et al.: Research on the coupling between torsional and lateral vibrations in propeller-shaft system with friction. J. Mech. Eng. 49(6), 74–80 (2013) 16. Zhang, Z., Zhang, Z., Huang, X., et al.: Stability and transient dynamics of a propeller-shaft system as induced by nonlinear friction acting on bearing-shaft contact interfaces. J. Sound Vib. 333(12), 2608–2630 (2014) 17. Zhou, C., Wang, J.X., Yu, J.B.: Effect of thickness and hardness of rubber underlayer on frictional coefficient of water-lubricated integer bearings. Lubr. Eng. 2006(2), 40–41 (2006) 18. Yao, S.W., Hu, Z.C., Ma, B., et al.: The new development of rubber bearing and its application in warships. J. Ship Sci. Technol. 2008(Z1), 27–30 (2008) 19. Wang, H.: Experimental research on the type of water-lubricated stern tube rubber bearings. Master Thesis, Wuhan University of Technology (2012) 20. Duan, H.T., Wu, Y.M., Wang, X.M., et al.: Study on the tribological properties of new water-lubricated bearing materials. J. Wuhan Univ. Technol. 34(2006), 17–21 (2012)

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