Vibration problems in a gear system with backlash

The differential equations describing gear vibration were solved to study the influence of gear backlash on gear pair vibration. The fourth order Runge Kutta with adaptive step size control was used to obtain the time dependant solutions of the equations. The Fast Fourier Transformation (FFT) method was then used to obtain the amplitude spectrums of these time responses. The influences of gear backlash and changes of the gear load on the vibration frequency of the gear fault were investigated for a non harmonic situation. The results show that changes of the gear backlash greatly influence the gear fault vibrational frequency for constant gear rotational speed and load. Changes of the gear speed and the working load also influence the gear fault vibrational frequency, when the gear backlash reaches a certain value. The results influence on line monitoring, fault diagnosis and dynamical design of gear unit devices.