Abstract：Usually the fatigue crack on shaft of rotor is with an elliptical tip, while the existing literatures at home and abroad mostly focus on straight-tip crack rotor, rarely on elliptical-tip crack breathing behavior. A new breathing model of elliptical crack in cylindrical shaft that modifying neutral axis’s position simulates crack open area is proposed, and based on the crack strain cracked additional flexibility coefficient is calculated, and a stiffness model of elliptical cracked rotor under bending is also established. Further, compared with the literatures and the finite element results, the proposed crack breathing laws agree completely, and cracked additional flexibility and rotor’s dimensionless deflection both meet precision of computing. Thus the model is validated.
刘 政，王建军. 呼吸性椭圆裂纹转子弯曲刚度模型[J]. 振动与冲击, 2016, 35(21): 183-187.
LIU Zheng, WANG Jian-jun. Bending stiffness model of a breathing elliptical cracked rotor. JOURNAL OF VIBRATION AND SHOCK, 2016, 35(21): 183-187.
[1] Papadopoulos C A, Dimarogonas A D. Coupled longitudinal and bending vibrations of a rotating shaft with an open crack [J]. Journal of Sound and Vibration, 1987,117(1):81–93.
[2] Jun O S, Eun H J. Modeling and vibration analysis of a simple rotor with a breathing crack [J]. Journal of Sound and Vibration, 1992,155(2):173-290.
[3] Darpe A K, Gupta K, Chawla A. Transient response and breathing behavior of a cracked Jeffcott rotor [J]. Journal of Sound and Vibration, 2004,272:207-243.
[4] Patel T H, Darpe A K. Influence of crack breathing model on nonlinear dynamics of a cracked rotor [J]. Journal of Sound and Vibration, 2008,311:953-972.
[5] Rubio L, Abella B M, Loaiza G. Static behavior of a shaft with an elliptical crack [J]. Mechanical Systems and Signal Processing, 2011,25:1674-1686.
[6] Han Q, Chu F. Local flexibility of an elliptical cracked shaft under bending and tension [J]. Mechanical Systems and Signal Processing, 2011,25:3198-3203.
[7] Kulesza Z, Sawicki J T. New Finite Element Modeling Approach of a Propagating Shaft Crack [J]. Journal of Applied Mechanics, 2013,80:011025-1-17.
[8] B. M. Abella, L. Rubio, P. Rubio. Stress intensity factor estimation for unbalanced rotating cracked shafts by artificial neural networks [J]. Fatigue & Fracture of Engineering Material & Structure, 2014,00:1-16.
[9] Rubio L, Abella B M, Rubio P, et al. Quasi-static numerical study of the breathing mechanism of an elliptical crack in unbalanced rotating shaft [J]. Latin American Journal of Solids and Structures, 2014,11: 2333-2350.
[10] Han Q, Chu F. Dynamic instability and steadt-state response of an elliptical cracked shaft [J]. Arch. Appl. Mech., 2012,82:709-722.
[11] Shin C S, Cai C Q. Experimental and finite element analyses on stress intensity factors of an elliptical surface crack in circular shaft under tension and bending [J]. International Journal of Fracture, 2004,129:239-264.
[12] Carpinteri A, Brighenti R, Spagnoli A. Surface flaws in cylindrical shafts under rotary bending [J]. Fatigue & Fracture of Engineering Material & Structure, 1998,21: 1027-1035.
