Nonlinear Dynamics of a Spur Gear Pair with 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. The Incremental Harmonic Balance Method (IHBM) is used in studying 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 with arbitrary precision. Finally the typical frequency-response diagrams are obtained to illustrate the properties of gear system with fault.
Yu Zhou, Shan-Tung Tu and Xishan Xie
Y. J. Shen et al., "Nonlinear Dynamics of a Spur Gear Pair with Fault", Key Engineering Materials, Vols. 353-358, pp. 1177-1180, 2007