Abstract
In rotating machinery, such as axial-flow compressor, gas turbine and aero-engine, the small clearance between the rotational blade and casing can increase the system efficiency, but may also lead to the rubbing between the blade and casing. The severe rubbing can bring about damages of the blade or casing. In this paper, two mathematical models of blade: a uniform-thickness-shell (UTS) model and a uniform-thickness-twisted-shell (UTTS) model, are established to compare the effects of the blade twist angle on the rubbing-induced vibration responses. The natural characteristics obtained from the two models are compared. Dynamic behaviors obtained from two models considering the combined effects of centrifugal force and aerodynamic force are also compared. Moreover, considering the effects of the misalignment angle and radial misalignment, the transient responses caused by rubbing using the two models are discussed. The results exhibit that the resonance in the radial direction cannot be observed when the blade twist angle is ignored (using UTS model). However, this resonance can be observed using the UTTS model, i.e., taking the influences of twist angle into account.
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References
Jacquet-Richardet, G., Torkhani, M., Cartraud, P., et al.: Rotor to stator contacts in turbomachines. Rev. Appl. Mech. Syst. Signal Process. 40, 401–420 (2013)
Ma, H., Yin, F.L., Guo, Y.Z., Tai, X.Y., Wen, B.C.: A review on dynamic characteristics of blade-casing rubbing. Nonlinear Dyn. 84(2), 437–472 (2016)
Ma, H., Yin, F.L., Wu, Z.Y., et al.: Nonlinear vibration response analysis of a rotor-blade system with blade-tip rubbing. Nonlinear Dyn. 84(3), 1225–1258 (2016)
Sinha, S.K.: Non-linear dynamic response of a rotating radial Timoshenko beam with periodic pulse loading at the free-end. Int. J. Non-Linear Mech. 40(1), 113–149 (2005)
Turner, K.E., Dunn, M., Padova, C.: Airfoil deflection characteristics during rub events. J. Turbomachinery 134(1), 011018-1–011018-8 (2012)
Schmiechen, P.: Travelling wave speed coincidence. Ph.D. thesis, Imperial College of Science, Technology and Medicine—University of London (1997)
Legrand, M., Pierre, C., Cartraud, P., Lombard, J.P.: Two-dimensional modeling of an aircraft engine structural bladed disk-casing modal interaction. J. Sound Vib. 319(1–2), 366–391 (2009)
Batailly, A., Legrand, M., Cartraud, P., et al.: Assessment of reduced models for the detection of modal interaction through rotor stator contacts. J. Sound Vib. 329(26), 5546–5562 (2010)
Childs, D.W., Bhattacharya, A.: Prediction of dry-friction whirl and whip between a rotor and a stator. J. Vib. Acoust. 129(3), 355–362 (2007)
Sinha, S.K.: Dynamic characteristics of a flexible bladed-rotor with Coulomb damping due to tip-rub. J. Sound Vib. 273(4–5), 875–919 (2004)
Yuan, H.Q., Kou, H.J.: Contact-impact analysis of a rotating geometric nonlinear plate under thermal shock. J. Eng. Math. 90(1), 119–140 (2015)
Ma, H., Wang, D., Tai, X.Y., Wen, B.C.: Vibration response analysis of blade-disk dovetail structure under blade tip rubbing condition. J. Vib. Control 23(2), 252–271 (2017)
Almeida, P., Gibert, C., Thouverez, F., et al.: Experimental analysis of dynamic interaction between a centrifugal compressor and its casing. J. Turbomachinery 137(3), 031008-1–031008-10 (2014)
Batailly, A., Legrand, M., Pierre, C.: Full three-dimensional rotor/stator interaction simulations in aircraft engines with time-dependent angular speed. J. Eng. Gas Turbines Power 139(3), 031202-1–031202-7 (2017)
Parent, M.O., Thouverez, F., Chevillot, F.: Whole engine interaction in a bladed rotor-to-stator contact. In: ASME Turbo Expo 2014: Turbine Technical Conference and Exposition. American Society of Mechanical Engineers, 2014
Sun, J., Arteaga, I.L., Kari, L.: General shell model for a rotating pretwisted blade. J. Sound Vib. 332(22), 5804–5820 (2013)
Yoo, H.H., Kim, S.K., Inman, D.J.: Modal analysis of rotating composite cantilever plates. J. Sound Vib. 258(2), 233–246 (2002)
Sinha, S.K., Zylka, R.P.: Vibration analysis of composite airfoil blade using orthotropic thin shell bending theory. Int. J. Mech. Sci. 121, 90–105 (2017)
Sun, Q., Ma, H., Zhu, Y.P., et al.: Comparison of rubbing induced vibration responses using varying-thickness-twisted shell and solid-element blade models. Mech. Syst. Sig. Process. 108, 1–20 (2018)
Acknowledgment
This project is supported by the China Natural Science Funds (NSFC, Grant no. 11772089) and the Fundamental Research Funds for the Central Universities (Grant nos. N160313004 and N160312001).
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Ma, H., Yang, T., Liu, S., Sun, Q., Wen, B. (2019). Effects of Twist Angle on Rubbing Induced Vibration Responses of Blade. In: Cavalca, K., Weber, H. (eds) Proceedings of the 10th International Conference on Rotor Dynamics – IFToMM . IFToMM 2018. Mechanisms and Machine Science, vol 62. Springer, Cham. https://doi.org/10.1007/978-3-319-99270-9_14
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DOI: https://doi.org/10.1007/978-3-319-99270-9_14
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