An analytical study of controlling chaotic dynamics in a spur gear system

In order to design and develop an optimal gear transmission system, it is important to control the occurrence of various types of nonlinear phenomena such as bifurcation and chaotic response. This paper describes a control system for elimination of the chaotic behaviors in a gear dynamic system. Analytical approach concerning the elimination of chaos in a gear system with applying the external control excitation is given by using Melnikov method. The numerical simulations are considered to check the validity of theoretical predictions, and also to investigate the efficiency of the proposed control system to eliminate the homoclinic bifurcation and chaos in nonlinear gear systems.