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Vibration of a mistuned three-bladed rotor under regular and chaotic excitations

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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
This study considers forced vibrations of a rotating structure consisting of a rigid hub and three flexible beams. The blades are nominally made of a multilayered laminate with a specific stacking sequence resulting in full isotropic macroscopic material behaviour. However, in the performed analysis it is assumed that the rotor has been mistuned because of manufacturing tolerances of the composite material. These inaccuracies are represented by deviations of reinforcing fibres orientations from their nominal values. The considered tolerances break the intended macroscopic material isotropy and make the laminate to exhibit the fully orthotropic behaviour. Based on previous authors research, the system of four mutually coupled dimensionless ordinary differential governing equations is adopted. Forced responses of the system under regular and chaotic excitations are investigated.
Rocznik
Strony
549--566
Opis fizyczny
Bibliogr. 27 poz., rys., tab.
Twórcy
autor
  • Lublin University of Technology, Department of Applied Mechanics, Lublin, Poland
autor
  • Lublin University of Technology, Department of Applied Mechanics, Lublin, Poland
autor
  • Lublin University of Technology, Department of Applied Mechanics, Lublin, Poland
Bibliografia
  • 1. Bhartiya Y., Sinha A., 2013, Reduced order modeling of a bladed rotor with geometric mistuning via estimated deviations in mass and stiffness matrices, Journal of Engineering for Gas Turbines and Power, 135, 5, 052501, DOI: 10.1115/1.4007783
  • 2. Castanier M.P., Óttarsson G., Pierre C., 1997, A reduced order modeling technique for mistuned bladed disks, Journal of Vibration and Acoustics, 119, 3, 439, DOI: 10.1115/1.2889743
  • 3. Castanier M.P., Pierre C., 2006, Modeling and analysis of mistuned bladed disk vibration: current status and emerging directions, Journal of Propulsion and Power, 22, 2, 384-396, DOI: 10.2514/1.16345
  • 4. Chandiramani N.K., Librescu L., Shete C.D., 2002, On the free-vibration of rotating composite beams using a higher-order shear formulation, Aerospace Science and Technology, 6, 8, 545-561
  • 5. Chen Y.F., Shen I.Y., 2015, Mathematical insights into linear mode localization in nearly cyclic symmetric rotors with mistune, Journal of Vibration and Acoustics, 137, 4, 041007, DOI: 10.1115/1.4029945
  • 6. Crespo da Silva M.R.M., 1998, A comprehensive analysis of the dynamics of a helicopter rotor blade, International Journal of Solids and Structures, 35, 7-8, 619-635, DOI: 10.1016/S0020- 7683(97)00065-6
  • 7. Doedel E., Champneys A., Fairgrieve T., Kuznetsov Y., Sandstede B., Wang X., 1998, Auto 97: Continuation and Bifurcation Software for Ordinary Differential Equations, Computational Mathematics and Visualization Laboratory, http://indy.cs.concordia.ca/aut
  • 8. Georgiades F., Latalski J., Warminski J., 2014, Equations of motion of rotating composite beams with a nonconstant rotation speed and an arbitrary preset angle, Meccanica, 49, 8, 1833-1858, DOI: 10.1007/s11012-014-9926-9
  • 9. Griffin J.H., Hoosac T.M., 1984, Model development and statistical investigation of turbine blade mistuning, Journal of Vibration Acoustics Stress and Reliability in Design, 106, 2, 204, DOI: 10.1115/1.3269170
  • 10. Gutkowski W., Latalski J., 2003, Manufacturing tolerances of fiber orientations in optimization of laminated plates, Engineering Optimization, 35, 2, 201-213, DOI: 10.1080/0305215031000091550
  • 11. Latalski J., Warminski J., Rega G., 2017, Bending-twisting vibrations of a rotating hubthin-walled composite beam system, Mathematics and Mechanics of Solids, 22, 6, 1303-1325, DOI: 10.1177/1081286516629768
  • 12. Li J., Castanier M.P., Pierre C., Ceccio S., 2006, Experimental Monte Carlo mistuning assessment of bladed disk vibration using forcing variations, [In:] 47th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, pp. AIAA 2006-1964
  • 13. Librescu L., Song O., 2006, Thin-Walled Composite Beams: Theory and Application, Springer, Dordrecht and the Netherlands
  • 14. Mayo J., Garc´ıa-Vallejo D., Dom´ınguez J., 2004, Study of the geometric stiffening effect: comparison of different formulations, Multibody System Dynamics, 11, 4, 321-341, DOI: 10.1023/B:MUBO.0000040799.63053.d9
  • 15. Mignolet M.P., Lin C.-C., 1993, The combined closed form-perturbation approach to the analysis of mistuned bladed disks, Journal of Turbomachinery, 115, 4, 771, DOI: 10.1115/1.2929315
  • 16. Nikolic M., 2006, New Insights into the Blade Mistuning Problem, PhD Thesis, Imperial College London, University of London, London
  • 17. Petrov E.P., Ewins D.J., 2003, Analysis of the worst mistuning patterns in bladed disk assemblies, Journal of Turbomachinery, 125, 4, 623-631, DOI: 10.1115/1.1622710
  • 18. Shapiro B., 1999, Solving for mistuned forced response by symmetry, Journal of Propulsion and Power, 15, 2, 310-325, DOI: 10.2514/2.5429
  • 19. Sinha A., 1986, Calculating the statistics of forced response of a mistuned bladed disk assembly, AIAA Journal, 24, 11, 1797-1801, DOI: 10.2514/3.9526
  • 20. Sinha A., 2006, Computation of the statistics of forced response of a mistuned bladed disk assembly via polynomial chaos, Journal of Vibration and Acoustics, 128, 4, 449, DOI: 10.1115/1.2215620
  • 21. Sinha S.K., 2013, Rotordynamic analysis of asymmetric turbofan rotor due to fan blade-loss event with contact-impact rub loads, Journal of Sound and Vibration, 332, 9, 2253-2283, DOI: 10.1016/j.jsv.2012.11.033
  • 22. Ueda Y., 1980, Explosion of strange attractors exhibited by Duffing’s equation, Annals of the New York Academy of Sciences, 357, 1, 422-434, DOI: 10.1111/j.1749-6632.1980.tb29708.x
  • 23. Vakakis A., Nayfeh T., King M., 1993, A multiple-scales analysis of nonlinear, localized modes in a cyclic periodic system, Journal of Applied Mechanics, 60, 2, 388, DOI: 10.1115/1.2900806
  • 24. Vannucci P., Verchery G., 2002, A new method for generating fully isotropic laminates, Composite Structures, 58, 1, 75-82, DOI: 10.1016/S0263-8223(02)00038-7
  • 25. Warminski J., Latalski J., 2017, Nonlinear control of flexural-torsional vibrations of a rotating thin-walled composite beam, International Journal of Structural Stability and Dynamics, 17, 5, 1740003-1–1740003-17, DOI: 10.1142/S021945541740003X
  • 26. Warmiński J., Szmit Z., Latalski J., 2014, Nonlinear dynamics and synchronisation of pendula attached to a rotating hub, European Physical Journal Special Topics, 223, 827847, DOI:10.1140/epjst/e2014-02143-9
  • 27. Xiao B., Rivas-Guerra A., Mignolet M.P., 2004, Maximum amplification of blade response due to mistuning in multi-degree-of-freedom blade models, Proceedings of the ASME Turbo Expo: Power for Land, Sea, and Air, 6, 427-438
Uwagi
PL
Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2018).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-bbc70dd5-085a-4207-b37c-2202a97c5934
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