Chaotic Vibration Of Three Degree Of Freedom Gear Transmission System And Its Intelligent Control

In the mechanical systems, gear driving is one of the most widely used driving ways, so the analysis and control of its dynamics is the focus of the current research. In recent years, the requirement of these fields, such as aeronautic, aerospace and robot, demands more on the accuracy, vibration, noise and reliability in the gear driving system. In essence, the gear driving system is a non-linear system. Then to meet the requirement of high precision, small vibration and low noise in the system, the nonlinear analysis and control should be adopted.Given the 3-degree gear driving system, the non-linear system model is built in this thesis by using mass centralized method. Because the general incremental harmonic balance method deals with periodic solutions at slower convergence rate, an improved incremental harmonic balance method has been put forwarded. This improved method is based on least-square method and incremental disposal. A computing formulas and program of the improved incremental harmonic balance are performed. When this method is used to deal with the non-linear system, we obtain periodic solutions in chaos attractor. The numerical solution proves that this method is valid and credible.We find slow convergence rate, a great number of data needed to train BP neural network when the network deals with the nonlinear system identification. To avoid these disadvantages, this thesis has put forward a simplified RBF neural network based on Fourier- progression. Based on this simplified RBF neural network, the intellectualized control model of 3-degree gear driving system is set up. When the single-periodic solution and multi-periodic solution is regarded as control target, the digital simulation of chaotic vibration control has been done and the control-results can satisfy with our requirement.Through the analysis of non-linear dynamics and studies of controlling chaos vibration for the gear driving system, we find that complex actions will be get following with the changing of parameters in this system. Furthermore, we also find that the chaotic vibration can be controlled by using the torques loaded controller.