Abstract
Rod fastening rotor (RFR) is characterized by discontinuity of contact interface and unbalance of multiple disks. There are few researches that focus on unbalance effect including magnitude and phase difference on the nonlinear dynamic characteristics of RFR considering contact feature. A typical RFR model is proposed to investigate the nonlinear dynamic characteristics. The nonlinear motion governing equation considering unbalance excitation, nonlinear oil-film force and nonlinear contact characteristics between disks is derived by D’Alembert principle. The contact effects are simulated by bending spring with nonlinear stiffness. The research focuses on the effects of unbalance on the onset of low-frequency instability and nonlinear response of RFR. The obtained results evidently show the distinct phenomena brought about by the variations of unbalance, which confirms that unbalance magnitude and phase difference are critical parameters for the RFR system response. To restrain large amplitude of nonsynchronous vibration and retard the occurrence of instability, the unbalance magnitude of rotor is suggested to be kept at range from U5 to U6. Meaningfully, RFR can operate relatively well with small vibration and higher instability threshold when the residual unbalance between disks is controlled at an enough-reasonable unbalance phase difference. Phase difference adjustment can accomplish active balance. The total vibration and nonsynchronous components could be reduced, and onset speed of instability could be delayed effectively by using the proposed method, which is helpful for the dynamic design, assembly, balance and vibration control of such RFR.
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References
Gao, J., Yuan, Q., Li, P., et al.: Effects of bending moments and pretightening forces on the flexural stiffness of contact interfaces in rod-fastened rotors. J. Eng. Gas Turb Power 134(10), 1025031–1025038 (2012)
Wang, N.S., Liu, H., Liu, Y., et al.: Stability and bifurcation of a flexible rod-fastening rotor bearing system with a transverse open crack. J. VibroEng. 20(8), 3026–3039 (2018)
Liu, Y., Liu, H., Yi, J., et al.: Investigation on the stability and bifurcation of a rod-fastening rotor bearing system. J. Vib. Control 21, 2866–2880 (2015)
Liu, H., Cheng, L.: Nonlinear dynamic analysis of a flexible rod fastening rotor bearing system. Chin. J. Mech. Eng. 46(19), 53–62 (2010)
Hu, L., Teng, W., et al.: Nonlinear coupled dynamics of a rod fastening rotor under rub-impact and initial permanent deflection. Energies 9(11), 883 (2016)
Hu, L., Liu, Y.B., Zhao, L., et al.: Nonlinear dynamic response of a rub-impact rod fastening rotor considering nonlinear contact characteristic. Arch. Appl. Mech. 86, 1869–1886 (2016)
Zhou, M., Yang, L.H., Yu, L.: Contact stiffness calculation and effects on rotordynamic of rod fastened rotor. In: Proceedings of the ASME International Mechanical Engineering Congress and Exposition, Phoenix, USA, 11 Nov–17 Nov 2016, paper no. IMECE2016-66047, pp. 1–8. New York: ASME
Hei, D., Lu, Y.J., Zhang, Y.F., et al.: Nonlinear dynamic behaviors of a rod fastening rotor supported by fixed-tilting pad journal bearings. Chaos Solitons Fract. 69, 129–150 (2014)
Lyantsev, O.D., Kazantsev, A.V., Abdulnagimov, A.I.: Identification method for nonlinear dynamic models of gas turbine engines on acceleration mode. Proced Eng. 176, 409–415 (2017)
He, P., Liu, Z.H., Huang, F.L., et al.: Experimental study of the variation of tie-bolt fastened rotor critical speeds with tighten force. J. Vib. Meas. Diagn. 34(04), 644–649 (2014)
Ma, H., Li, H., Zhao, X.Y., et al.: Effects of eccentric phase difference between two discs on oil-film instability in a rotor-bearing system. Mech. Syst. Signal Process. 41(1), 526–545 (2013)
Liu, Y., Liu, H., Wang, X., et al.: Nonlinear dynamic characteristics of a three-dimensional rod-fastening rotor bearing system. Proc. Inst. Mech. Eng. Part C J. Mech. Eng. Sci. 229, 882–894 (2015)
Yuan, Q., Gao, J., Li, P.: Nonlinear dynamics of the rod-fastened Jeffcott rotor. J. Vib. Acoust. 136(2), 0210111–02101110 (2014)
Li, H.G., Yang, L.H., Wang, W.M., et al.: Dynamical analysis on circumferential rod fastening rotor system in heavy-duty gas turbine. In: Proceedings of the ASME Turbo Expo: Turbine Technical Conference and Exposition, Düsseldorf, Germany, 16 June–20 June 2014, paper no. GT2014-25055, pp. V07AT31A001 8pages. New York: ASME
Meng, C., Su, M., Wang, S.B.: An investigation on dynamic characteristics of a gas turbine rotor using an improved transfer matrix method. J. Eng. Gas Turbine Power 135(12), 1225051–1225058 (2013)
Yang, W.J., Liang, M.X., Wang, L., et al.: Research on unbalance response characteristics of gas turbine blade-disk rotor system. J. VibroEng. 20(4), 1676–1690 (2018)
Yuan, Q., Gao, R., Feng, Z.P., et al.: Analysis of dynamic characteristics of gas turbine rotor considering contact effects and pre-tightening force. In: Proceedings of the ASME TURBO EXPO, Berlin, Germany, 9 June–13 June 2008, paper no. GT2008-50396, pp. 983–988. New York: ASME
Yi, J., Liu, H., Liu, Y., et al.: Global nonlinear dynamic characteristics of rod-fastening rotor supported by ball bearings. Proc. Inst. Mech. Eng. Part K J. Multi-body Dyn. 229(2), 208–222 (2015)
Wang, L.K., Bin, G.F., Li, X.J., Liu, D.Q.: Effects of unbalance location on dynamic characteristics of high-speed gasoline engine turbocharger with floating ring bearings. Chin. J. Mech. Eng. 29(2), 271–280 (2016)
Bin, G.F., Li, X.J., Wu, J.G., et al.: Virtual dynamic balancing method without trial weights for multi-rotor series shafting based on finite element model analysis. J. Renew. Sustain. Energy 6, 0420141–04201414 (2014)
Tian, L., Wang, W.J., Peng, Z.J.: Nonlinear effects of unbalance in the rotor-floating ring bearing system of turbochargers. Mech. Syst. Signal Process. 34, 298–320 (2013)
Chen, Q.X., Ma, Y.H., Hong, J.: Vibration suppression of additional unbalance caused by the non-continuous characteristics of a typical aero-engine rotor. Mech. Mach. Sci. 63, 34–88 (2018)
Wang, L.K., Bin, G.F., Li, X.J., Zhang, X.F.: Effects of floating ring bearing manufacturing tolerance clearances on the dynamic characteristics for turbocharger. Chin. J. Mech. Eng. 28(3), 530–540 (2015)
Capone, G.: Orbital motions of rigid symmetric rotor supported on journal bearings. La Meccanica Italiana 199, 37–46 (1986)
Capone, G.: Analytical description of fluid-dynamic force field in cylindrical journal bearing. L’Energia Elettrica 3, 105–110 (1991)
Adiletta, G., Guido, A.R., Rossi, C.: Chaotic motions of a rigid rotor in short journal bearings. Nonlinear Dyn. 10, 251–269 (1996)
Li, Y.N., Zheng, L., Wen, B.C.: Nonlinear model of bolted joint and its wave energy dissipation. J. Vib. Eng. 16(2), 137–142 (2003)
Chen, W.J., Gunter, E.J.: Introduction to Dynamics of Rotor-Bearing Systems. Trafford publishing, Victoria (2005)
Steven, H.S.: Nonlinear Dynamics and Chaos. China Machine Press, Beijing (2018)
Wen, B.C., Wu, X.H., Ding, Q., Han, Q.K.: Theory and Experiment for Nonlinear Dynamics of Fault Rotating Machinery. Science Press, Beijing (2004)
Hoffman, K.H.: The Hopf bifurcations of two-dimensional system under the influence of one external noise source. Z. Phys. 49, 245–253 (1982)
Acknowledgements
This work is supported by the Major State Basic Research Development Program of China (973 Program: No. 2013CB035706), National Natural Science Foundation of China (No. 51175517) and the Fundamental Research Funds for the Central Universities of Central South University (No. 2019zzts256).
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Wang, L., Wang, A., Jin, M. et al. Nonlinear effects of induced unbalance in the rod fastening rotor-bearing system considering nonlinear contact. Arch Appl Mech 90, 917–943 (2020). https://doi.org/10.1007/s00419-019-01645-7
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DOI: https://doi.org/10.1007/s00419-019-01645-7