Application of Cell Mapping Method in Global Analysis of Fault Gear System

Abstract

Cell mapping method is a numerical computing technology solving the global behavior of complex nonlinear system. In this paper, the simple Cell Mapping method is used as global analysis of the dynamical behavior of nonlinear gear system under different degree of wear faults. By comparing the domains of attraction and cell of attraction under different degree of wear faults, the nonlinear system dynamic global developing rule of the gear wear fault was obtained, which offers a new method for the nonlinear gear system fault diagnosis.