Nonlinear dynamics of a rotating shaft with a breathing crack
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Abraham ONL, Brandon JA, Cohen AM (1994) Remark on the determination of compliance coefficients at the crack section of a uniform beam with circular cross section. J. Sound Vib 169(2):570–574
Andrieux S, Varé C (2002) A 3d cracked beam model with unilateral contact- application to rotors. Eur J Mech A/Solids 21:793–810
Anifantis N, Dimarogonas AD (1983) Identification of peripheral cracks in cylindrical shells. In: ASME-winter annual meeting, Boston
Bachschmid N, Pennacchi P, Tanzi E, Vania A (2000) Identification of transverse crack position and depth in rotor systems. Meccanica 35:563–582
Bachschmid N, Pennacchi P, Tanzi E (2008) Some remarks on breathing mechanism, on non-linear effects and on slant and helicoidal cracks. Mech Syst Signal Process 22(4):879–904
Bachschmid N, Tanzi E, Audebert S (2008) The effect of helicoidal cracks on the behaviour of rotating shafts. Eng Fract Mech 75(3–4):475–488. International Conference of Crack Paths
Bachschmid N, Pennacchi P, Tanzi E (2009) Cracked rotors: a survey on static and dynamic behaviour including modelling and diagnosis. Springer, New York
Bently DE, Muszynska A (1986) Detection of rotor cracks. In: 15th turbomachinery symposium, Texas
Chen C, Dai L (2007) Bifurcation and chaotic response of a cracked rotor system with viscoelastic supports. Nonlinear Dyn 50(3):483–509
Chen C, Dai L, Fu Y (2007) Nonlinear response and dynamic stability of a cracked rotor. Commun Nonlinear Sci Numer Simul 12(6):1023–1037
Dimarogonas AD (1970) Dynamic response of cracked rotors. Internal report, General Electric Co., Schenectady
Dimarogonas AD (1971) Dynamics of cracked shafts. Internal report, General Electric Co., Schenectady
Dimarogonas AD (1996) Vibration of cracked structures: a state of the art review. Eng Fract Mech 55(5):831–857
Dimarogonas AD, Paipetis SA (1983) Analytical methods in rotor dynamics. Applied Science Publishers, London
El Arem S (2006) Vibrations non-lineaires des structures fissurées: application aux rotors de turbines (in french). PhD thesis, Ecole Nationale des Ponts et Chaussées
El Arem S (2009) Shearing effects on the breathing mechanism of a cracked beam section in bi-axial flexure. Eur J Mech A/Solids 28:1079–1087
El Arem S, Maitournam H (2007) Un élément fini de poutre fissurée: application à la dynamique des arbres tournants (in french). Eur J Comput Mech 16(5):643–663
El Arem S, Maitournam H (2008) A cracked beam finite element for rotating shaft dynamics and stability analysis. J Mech Mater Struct 3(5):893–910
El Arem S, Nguyen QS (2006) A simple model for the dynamical behavior of a cracked rotor. In: Advances in geomaterials and structures. Hammamet, pp 393–398
Foong CH, Pavlovskaia E, Wiercigroch M, Deans WF (2003) Chaos caused by fatigue crack growth. Chaos Solitons Fractals 16:651–659
Gasch R (1993) A survey of the dynamic behavior of a simple rotating shaft with a transverse crack. J Sound Vib 160:313–332
Georgantzinos SK, Anifantis NK (2008) An insight into the breathing mechanism of a crack in a rotating shaft. J Sound Vib 318(1–2):279–295
Gross B, Srawley JE (1965) Stress intensity factors for a single-edge-notch specimen in bending or combined bending and tension by boundary collocation of a stress function. Tech. Note D-2603, NASA
Huang SC, Huang YM, Shieh SM (1993) Vibration and stability of a rotating shaft containing a transverse crack. J Sound Vib 163(3):387–401
Ishida Y (2008) Cracked rotors: industrial machine case histories and nonlinear effects shown by simple jeffcott rotor. Mech Syst Signal Process 22:805–817
Mayes IW, Davies WGR (1984) Analysis of the response of a multi-rotor-bearing system containing a transverse crack in a rotor. J Vib Acoust Stress Reliab Des 106:139–145
Muller PC, Bajkowski J, Soffker D (1994) Chaotic motions and fault detection in a cracked rotor. Nonlinear Dyn 5:233–254
Nayfeh AH, Mook DT (1979) Nonlinear oscillations. Wiley, New York
Pafelias T (1974) Dynamic response of a cracked rotor technical information series DF-74-LS-79. General Electric Co, New York
Papadopoulos CA (2004) Coupling of bending and torsional vibration of a cracked timoshenko beam. J Sound Vib 278:1205–1211
Papadopoulos CA (2008) The strain energy release approach for modeling cracks in rotors: a state of the art review. Mecha Syst Signal Process 22:763–789
Papadopoulos CA, Dimarogonas AD (1987) Coupled longitudinal and bending vibrations of a rotating shaft with an open crack. J Sound Vib 117:81–93
Papadopoulos CA, Dimarogonas AD (1987) Coupling of bending and torsional vibration of a cracked timoshenko beam. Ing Arch 57:496–505
Papadopoulos CA, Dimarogonas AD (1987c) Stability of cracked rotors in the coupled vibration mode. In: ASME-11th Bien-nial conference on mechanical vibration and noise, pp 25–34, Boston
Patel TH, Darpe AK (2008) Influence of crack breathing model on nonlinear dynamics of a cracked rotor. J Sound Vib 311:953–972
Stoisser CM, Audebert S (2008) A comprehensive theoretical, numerical and experimental approach for crack detection in power plant rotating machinery. Mech Syst Signal Process 22(4):818–844
Zuo L (1992) Etude du comportement dynamique des systmes linéaires par morceaux- contribution la détection des fissures dans les arbres de machines tournantes. PhD thesis, EPFL