Nonlinear dynamics of a spur gear pair with slight wear fault

This paper is focused on the nonlinear dynamics of a spur gear pair with slight wear fault, where the backlash, time-varying stiffness and wear fault are all included in the model. The Incremental Harmonic Balance Method (IHBM) is applied to research the periodic solution of this system. Based on the Kronecker's notation, step function and sign function, the general forms of the periodic solutions are founded, which is useful to obtain the periodic solutions precisely. At last the typical frequency-response diagrams are obtained to illustrate the different properties of fault gear system compared with the faultless one.