One of the most common defects in rotary equipments is cracks. Creation and growth ofcracks can cause irreparable damages as well as occurrence of unwanted vibration in rotatingequipments. On the other hand, increasing the damping of the system is one of the mostpractical solutions to control vibrations in rotating equipment. One of the most importantmethods to increase the damping is the use of squeeze film dampers. Despite the highefficiency of these elements in controlling the amplitude and damping of system vibrations, their nonlinear behavior has created many limitations in the use of this equipment. In this paper, the bifurcation analysis of a flexible rotor with a floating-ring squeeze filmdamper with centralizing spring and considering the occurrence of cavitation in the damper oilfilm and transverse cracks in the shaft is been investigated.