A geometrically exact approach to the overall dynamics of elastic rotating bladespart 1: Linear modal properties

Nonlinear Dynamics

Volumn 70, Issue 1, 2012, Pages 659-675

  Lacarbonara, Walter ^a   Arvin, Hadi ^b   Bakhtiari Nejad, Firooz ^b  

^a SAPIENZA UNIVERSITY OF ROME   (Italy)

^b AMIRKABIR UNIVERSITY OF TECHNOLOGY   (Iran)

Author keywords

Centrifugal Coriolis forces; Flapping lagging torsional modes; Geometrically exact approach; Rotating isotropic blade

Indexed keywords

ANGULAR SPEED; BALANCE LAW; CENTRIFUGAL FORCES; CENTRIFUGAL/CORIOLIS FORCES; COSSERAT THEORY; EIGENVALUE PROBLEM; FLAPPING/LAGGING/TORSIONAL MODES; GALERKIN APPROACH; GEOMETRICALLY EXACT; GOVERNING EQUATIONS; INTERNAL KINEMATICS; INTERNAL RESONANCE; LINEARIZED EQUATIONS; MECHANICAL FORMULATION; MECHANICAL MODEL; MODAL COUPLING; MODAL PROPERTIES; MODE SHAPES; NONLINEAR MODE; PERTURBED FORMS; PRE-STRESSED; ROTATING BEAM STRUCTURES; ROTATING BLADES; ROTATING FRAME; ROTATING ISOTROPIC BLADE; SHEDDING LIGHT; TAYLOR EXPANSIONS; TORSIONAL COMPONENTS; UPDATED LAGRANGIAN FORMULATIONS;

CENTRIFUGATION; DYNAMICS; EIGENVALUES AND EIGENFUNCTIONS; EQUATIONS OF MOTION; KINEMATICS; LINEARIZATION;

SANDWICH STRUCTURES;

EID: 84867842740     PISSN: 0924090X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11071-012-0486-z     Document Type: Article

References (24)

1. Hodges, D.H.: Review of composite rotor blade modeling. AIAA J. 28(3), 561-565 (1990)
2. Hodges, D.H.: Nonlinear Composite Beam Theory. AIAA, Reston (2006)
3. Hodges, D.H.; Dowell, E.H.: Nonlinear equations of motion for the elastic bending and torsion of twisted nonuniform rotor blades. NASA TN D-7818 (1974)
4. Stafford, R.O.; Giurgiutiu, V.: Semi-analytic methods for rotating Timoshenko beams. Int. J. Mech. Sci. 17, 719-727 (1975)
5. Giurgiutiu, V.; Stafford, R.O.: Semi-analytic methods for frequencies and mode shapes of rotor blades. Vertica 1, 291-306 (1977)
6. Wright, A.D.; Smith, C.E.; Thresher, R.W.; Wang, J.L.C.: Vibration modes of centrifugally stiffened beams. J. Appl. Mech. 49, 197-202 (1982)
7. Borri, M.; Mantegazza, P.: Some contributions on structural and dynamic modeling of rotor blades. Aerotec. Missili Spaz. 64(9), 143-154 (1985)
8. Crespo da Silva, M.R.M.; Hodges, D.H.: Nonlinear flexure and torsion of rotating beams with application to helicopter rotor blades-I. Formulation. Vertica 10(2), 151-169 (1986)
9. Hodges, D.H.: A mixed variational formulation based on exact intrinsic equations for dynamics of moving beams. Int. J. Solids Struct. 26(11), 1253-1273 (1990)
10. Bauchau, O.A.; Kang, N.K.: A multi body formulation for helicopter structural dynamic analysis. J. Am. Helicopter Soc. 38(2), 3-14 (1993)
11. Hodges, D.H.: Comment on Flexural behavior of a rotating sandwich tapered beam and on Dynamic analysis for free vibrations of rotating sandwich tapered beams. AIAA J. 33(6), 1168-1170 (1995)
12. Lin, S.C.; Hsiao, K.M.: Vibration analysis of a rotating Timoshenko beam. J. Sound Vib. 240(2), 303-322 (2001)
13. Hodges, D.H.: Geometrically-exact, intrinsic theory for dynamics of curved and twisted anisotropic beams. AIAA J. 41(6), 1131-1137 (2003)
14. Ozgumus, O.O.; Kaya, M.O.: Energy expressions and free vibration analysis of a rotating double tapered Timoshenko beam featuring bending-torsion coupling. Int. J. Eng. Sci. 45, 562-586 (2007)
15. Avramov, K.V.; Pierre, C.; Shyriaieva, N.V.: Nonlinear equations of flexural-flexural-torsional oscillations of rotating beams with arbitrary cross-section. Int. Appl. Mech. 44(5), 582-589 (2008)
16. Lee, S.Y.; Lin, S.M.; Lin, Y.S.: Instability and vibration of a rotating Timoshenko beam with precone. Int. J. Mech. Sci. 51, 114-121 (2009)
17. Valverde, J.; García-Vallejo, D.: Stability analysis of a substructured model of the rotating beam. Nonlinear Dyn. 55, 355-372 (2009)
18. Arvin, H.; Bakhtiari-Nejad, F.: Non-linear modal analysis of a rotating beam. Int. J. Non-Linear Mech. 46(6), 877-897 (2011)
19. COMSOL AB, COMSOL multiphysics user guide and model library, version 3.5a COMSOL AB, Sweden (2008)
20. Lacarbonara, W.; Antman, S.S.: Parametric instabilities of the radial motions of non-linearly viscoelastic shells under pulsating pressures. Int. J. Non-Linear Mech. 47(5), 461-472 (2012)
21. Lacarbonara, W.: Nonlinear Structural Mechanics. Theory, Dynamical Phenomena, and Modeling, 1st edn. Springer, New York (2012). ISBN: 978-1-4419-1275-6
22. Zhuravlev, V.Ph.: Spectral properties of linear gyroscopic systems. Mech. Solids 44(2), 165-168 (2009)
23. Nayfeh, A.H.; Mook, D.T.: Nonlinear Oscillations. Wiley-Interscience, New York (1979)
24. Nayfeh, A.H.: Nonlinear Interactions. Wiley-Interscience, New York (2000)