Abstract

The stiffness matrix of a shaft with slant transverse crack under the common action of axial force, moment and torque was derived based on material mechanics, local flexibility and fracture mechanics theory and apply strain energy release rate method. The opening and closing regularity of the crack and the shaft rigidity varying characteristics was simulated in a steady state rotating by apply the stress intensity factor is zero method, and the time-varying characteristics of inclination of 45 ° cracked shaft stiffness was detailed study. The studies have shown that, the stiffness of shaft has not been reduced, but has some breathing characteristics of fluctuations with increasing crack depth in the steady state crack axis of rotation cycle. And the coupled vibration was easily caused so that dynamic characteristics of shaft is more complex. Keywords-slant-cracked shaft; shaft stiffness; time-variant characteristics

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