The dynamic behavior of geared rotor system with tooth root crack or cracked transmission shaft is studied to illustrate the different effects of the two types of crack upon the system steady-state response. The finite element equations of motion are established for the geared rotor system with actual time-varying mesh stiffness. Both the shaft transverse crack and gear tooth root crack are modeled analytically. The direct spectral method is utilized to obtain the steady-state forced response of the cracked geared rotor-bearing system under transmission error and unbalance force excitations. By taking a widely used one-stage geared rotor-bearing system as an example, the variations of forced response in both time and frequency domain for the system with tooth root crack or transverse crack are observed, respectively. In addition, how the frequency response characteristics change after considering the crack is also investigated. Finally, some useful conclusions are obtained.
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