Narrow Results

This paper focuses on periodic motions and chaos relative to the impacting chatter and stick in order to find the origin of noise and vibration in such a gear transmission system. Such periodic motions are predicted analytically through mapping structures, and the corresponding local stability and bifurcation analysis are carried out. The grazing and stick conditions presented in [Luo & O'Connor, 2007] are adopted to determine the existence of periodic motions, which cannot be achieved from the local stability analysis. Numerical simulations are performed to illustrate periodic motions and stick motion criteria. Such an investigation may provide some clues to reduce the noise in gear transmission systems.

In this paper, an investigation on nonlinear dynamical behaviors of a transmission system with a gear pair is conducted. The transmission system is described through an impact model with a possible stick between the two gears. From the theory of discontinuous dynamical systems, the motion mechanism of impacting chatter with stick is investigated. The onset and vanishing conditions of stick motions are developed, and the condition for maintaining the stick motion is achieved as well. The corresponding physics interpretation is given for a better understanding of nonlinear behaviors of gear transmission systems. Furthermore, such an understanding may be very helpful to improve the efficiency of gear transmission systems.

The multi-objective and constrained nonlinearly optimal model to realize the high efficiency and less mass design of the multi-stage gear transmission system has been established, the universal expression of design variables, objective functions, and constraints have been also derived. The proposed optimization theory integrated NSGA-II algorithm is feasible and reliable by applying for some optimal examples of space gear transmission system. The results have shown the theory proposed can realize the multiconception design of the space multi-stage gear transmission system, and is an effective designing and decision-making tool in the field of the space gear transmission system.