Analysis On The Abnormal Noise Of Gearbox Based On Nonlinear Dynamics Of Gears

Analysis on the abnormal of a certain gearbox based on nonlinear dynamics is carried out in this paper. Based on the characters of the abnormal noise, nonlinear vibration of the constant-mesh gear pair is regarded as the possible causation of the abnormal, this dissertation has deeply investigated the nonlinear dynamic behavior of gear system with backlash, time-varying stiffness, damping and composite error.A dynamic model of a gear system has been established considering the backlash, damping, composite error and the time-varying stiffness. The dynamic character of the system is analyzed. Using the characters of the piecewise system this paper derives a precise analytical solutiou.Using the system's phase plane plots and the Poincare trap plots analyse gear nonlinear system's correspond.The validity is verified by using the system's phase plane plots and the Poincare trap plots. The calculation results show that the correlation dimensions of the chaotic attractors are not integers. The system dynamic character is analyzed by changing the damping ratio, composite error and the backlash in the system. The maximum Lyapunov exponent plots and the correlation dimensions are given with changing the parameters respectively.Researching the problem of stability and bifurcation of periodic motion. The stability of the dynamic system is discussed with consideration of the influence of excitation frequency, damper ratio, etc. Some suggestions of improvement on the abnormal noise are presented.