Frontiers of Mechanical Engineering >
Stability and dynamics of rotor system with 45° slant crack on shaft
Received date: 19 Jun 2010
Accepted date: 22 Nov 2010
Published date: 05 Jun 2011
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Crack on a shaft is one of the common damages in a rotor system. In this paper, transverse vibrations are calculated to compare the influences of transverse crack and slant crack on the rotor system. Results show that the vibration amplitude of the rotor system with a 45° slant crack on the shaft is larger than that with a transverse crack when the two types of crack have the same depth and the rotor system runs in the same condition. Stability and dynamic characteristics of the rotor system with a 45° slant crack on the shaft under torsional excitation are analyzed by considering opening and closing of the crack. It is shown that the instability of the transverse vibration of the rotor system increases with increasing difference between the bending stiffness in two main directions, and the vibration is stable when the two bending stiffness are identical. The spectrum analysis of the steady-state response reveals that the gravity and the eccentricity produce different frequency components, and when the two bending stiffness are identical, the multiple frequency components of the torsional excitation disappear. Further investigation shows that the vibration amplitudes in combined frequencies increase rapidly in transversal, torsional, and axial vibration with increasing slant crack depth. The results are helpful for the understanding the dynamic behavior of a rotor system with a slant crack on a shaft and can be used for the detection of the slant crack on a shaft.
Key words: rotor dynamics; slant crack; stability; torsional excitation; open and close
Yanli LIN , Xiaohui SI , Fulei CHU . Stability and dynamics of rotor system with 45° slant crack on shaft[J]. Frontiers of Mechanical Engineering, 2011 , 6(2) : 203 -213 . DOI: 10.1007/s11465-011-0131-4
1 |
Ichimonji M, Watanabe S. The dynamics of a rotor system with a shaft having a slant crack. JSME, International Journal, Series III, 1988, 31(4): 712-718
|
2 |
Ichimonji M, Kazao Y, Watanabe S, Nonaka S. The dynamics of a rotor system with a slant crack under torsional vibration. Nonlinear and Stochastic Dynamics, 1994, 78: 81-89
|
3 |
Sekhar A S, Prasad P B. Dynamic analysis of a rotor system considering a slant crack in the shaft. Journal of Sound and Vibration, 1997, 208(3): 457-474
|
4 |
Sekhar A S, Mohanty A R, Prabhakar S. Vibrations of cracked rotor system: transverse crack versus slant crack. Journal of Sound and Vibration, 2005, 279(3-5): 1203-1217
|
5 |
Papadopoulos C A, Dimarogonas A D. Stability of cracked rotors in the coupled vibration mode. Journal of Vibration, Acoustics. Stress and Reliability in Design, 1988, 110: 356-359
|
6 |
Lin Y, Chu F. Numerical and experimental investigations of flexural vibrations of a rotor system with transverse or slant crack. Journal of Sound and Vibration, 2009, 324(1): 107-125
|
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