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Dynamic Modeling of Flexible Rotors Mounted on an Elastic Base Undergoing Arbitrary Attitude Motion

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Proceedings of the 10th International Conference on Rotor Dynamics – IFToMM (IFToMM 2018)

Part of the book series: Mechanisms and Machine Science ((Mechan. Machine Science,volume 61))

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Abstract

The present paper is devoted to the modeling of systems comprising a flexible rotor mounted onto an elastic base, undergoing arbitrary rotations. By using a Lagrangian approach, the equations of motion are derived for the coupled rotor-base system, considering finite element discretization for both the base and the rotor. Numerical simulations are performed for a specific configuration of the rotor-bearing system and attitude motion. Results are interpreted to evaluate, both qualitatively and quantitatively, the influence of the base motion and flexibility on the dynamic behavior of the rotor, in terms of unbalance responses. Based on the results, conclusions are drawn, especially in terms of the conditions under which the flexibility of the base is indispensable for accurate prediction of the rotor behavior.

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References

  1. Bonello, P., Brennan, M.: Modelling the dynamic behaviour of a supercritical rotor on a flexible foundation using the mechanical impedance technique. J. Sound Vib. 239(3), 445–466 (2001). https://doi.org/10.1006/jsvi.2000.3172

    Article  Google Scholar 

  2. Chen, L., Wang, J., Han, Q., Chu, F.: Nonlinear dynamic modeling of a simple flexible rotor system subjected to time-variable base motions. J. Sound Vib. 404, 58–83 (2017). https://doi.org/10.1016/j.jsv.2017.05.032

    Article  Google Scholar 

  3. Dakel, M., Baguet, S., Dufour, R.: Nonlinear dynamics of a support-excited flexible rotor with hydrodynamic journal bearings. J. Sound Vib. 333(10), 2774–2799 (2014). https://doi.org/10.1016/j.jsv.2013.12.021

    Article  Google Scholar 

  4. Dakel, Z.: Stabilité et dynamique non linéaire de rotors embarqués. Thèse doctorale, INSA de Lyon (2014)

    Google Scholar 

  5. Das, A.S., Dutt, J.K., Ray, K.: Active vibration control of flexible rotors on maneuvering vehicles. AIAA J. 48(2), 340–353 (2010). https://doi.org/10.2514/1.43378

    Article  Google Scholar 

  6. Duchemin, M.: Contribution à l’étude du comportement dynamique d’un rotor embarqué. Thèse doctorale, INSA de Lyon (2003)

    Google Scholar 

  7. Gaganis, B.J., Zisimopoulos, A.K., Nikolakopoulos, P.G., Papadopoulos, C.A.: Modal analysis of rotor on piecewise linear journal bearings under seismic excitation. J. Vib. Acoust. 121(2), 190 (1999). https://doi.org/10.1115/1.2893963

    Article  Google Scholar 

  8. Hou, L., Chen, Y., Cao, Q.: Nonlinear vibration phenomenon of an aircraft rub-impact rotor system due to hovering flight. Commun. Nonlinear Sci. Numer. Simul. 19(1), 286–297 (2014). https://doi.org/10.1016/j.cnsns.2013.06.023

    Article  MathSciNet  MATH  Google Scholar 

  9. Lee, A.S., Kim, B.O., Kim, Y.C.: A finite element transient response analysis method of a rotor-bearing system to base shock excitations using the state-space Newmark scheme and comparisons with experiments. J. Sound Vib. 297(3–5), 595–615 (2006). https://doi.org/10.1016/j.jsv.2006.04.028

    Article  Google Scholar 

  10. Lin, F., Meng, G.: Study on the dynamics of a rotor in a maneuvering aircraft. J. Vib. Acoust. 125(3), 324 (2003). https://doi.org/10.1115/1.1576422

    Article  Google Scholar 

  11. Lund, J.W., Wang, Z.: Application of the Riccati method to rotor dynamic analysis of long shafts on a flexible foundation. J. Vib. Acoust. Stress Reliab. Des. 108(2), 177 (1986). https://doi.org/10.1115/1.3269319

    Article  Google Scholar 

  12. Luo, Y.: An efficient 3D Timoshenko beam element with consistent shape functions. Adv. Theor. Appl. Mech. 1(3), 95–106 (2008)

    MATH  Google Scholar 

  13. Shabana, A.A.: Dynamics of Multibody Systems. Cambridge University Press, Cambridge (2005). https://doi.org/10.1017/cbo9780511610523

    Book  MATH  Google Scholar 

  14. Srinivasan, V., Soni, A.H.: Seismic analysis of a rotor-bearing system. Earthq. Eng. Struct. Dyn. 12(3), 287–311 (1984). https://doi.org/10.1002/eqe.4290120302

    Article  Google Scholar 

  15. Su, W.C., Hernried, A.G., Yim, S.C.S.: Seismic response of rotating machines-structure-RFBI systems. Earthq. Eng. Struct. Dyn. 29(2), 213–240 (2000). https://doi.org/10.1002/(sici)1096-9845(200002)29:2%3c213::aid-eqe900%3e3.0.co;2-4

    Article  Google Scholar 

  16. Suarez, L.E., Singh, M.P., Rohanimanesh, M.S.: Seismic response of rotating machines. Earthq. Eng. Struct. Dyn. 21(1), 21–36 (1992). https://doi.org/10.1002/eqe.4290210102

    Article  Google Scholar 

  17. Yang, Y., Ren, X., Qin, W., Wu, Y., Zhi, X.: Analysis on the nonlinear response of cracked rotor in hover flight. Nonlinear Dyn. 61(1–2), 183–192 (2009). https://doi.org/10.1007/s11071-009-9640-7

    Article  MATH  Google Scholar 

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Acknowledgments

T.P. Sales is grateful to the São Paulo Research Foundation (FAPESP) for his post-doctoral grant #2017/23420-6 and #2015/20363-6. E. Spuldaro also express his gratitude to FAPESP for his M.Sc. scholarship grant #2016/16480-0. L.F. Damy is grateful to the Brazilian Army for supporting his research work. D.A. Rade gratefully acknowledges FAPESP (grant #2015/20363-6) and CNPq (grant #402238/2013-3 and #310633/2013-3) for the support to his research activities.

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Correspondence to Domingos A. Rade .

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Sales, T.d.P., Spuldaro, E., Damy, L.F., Rade, D.A. (2019). Dynamic Modeling of Flexible Rotors Mounted on an Elastic Base Undergoing Arbitrary Attitude Motion. In: Cavalca, K., Weber, H. (eds) Proceedings of the 10th International Conference on Rotor Dynamics – IFToMM . IFToMM 2018. Mechanisms and Machine Science, vol 61. Springer, Cham. https://doi.org/10.1007/978-3-319-99268-6_39

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  • DOI: https://doi.org/10.1007/978-3-319-99268-6_39

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  • Publisher Name: Springer, Cham

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  • Online ISBN: 978-3-319-99268-6

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