Focusing on a helical gear transmission system, a modified algorithm of the time-varying mesh stiffness of helical gears with crack fault was proposed.Considering the elastic deformation of tooth contact, bending, shear, axial compression and the wheel body, then the correctness of the algorithm was verified by using the finite element method.The influence of crack parameters, such as the length, depth and angle of crack, on the mesh stiffness of helical gears was analyzed.After that, a coupling dynamic model of the helical gear transmission system with crack fault was established based on the shafting element method.In this model, the factors such as the time-varying mesh stiffness, static transmission error, bearing stiffness, and the gyro force of gear rotor were taken into consideration.The dynamic characteristics of the system were analyzed by the Newmark-β method, then the effect of crack parameters on the vibration response of the system was studied.It is shown that the mesh stiffness of gears decreases with the depth and the length of the crack.There are some periodic impulses in the time domain.Moreover, the mesh frequency modulated sideband appears in the frequency domain.The research results can provide a theoretical basis for crack fault diagnosis of the gear transmission.
Key words
Helical gear /
Crack fault /
Mesh stiffness /
Coupling dynamic model /
Vibration response
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