Vibration Analysis of Gearbox Considering Nonlinear Tooth Stiffness by Using the 1DCAE

Abstract

Conventionally, dynamic analysis of gear system has been analyzed by three-dimensional analysis such as finite element method and multibody dynamics. However, analysis methods have not been established due to problems such as tooth contact calculation and bearing modeling. In addition, complicated analysis of planetary gear devices and like mechanical systems take time and is not a method that can be easily used. Therefore, in this study, an analytical model based on the gear theory modeled by the spring-mass system is developed by using 1DCAE. By using the developed model, it is possible to analyze the vibration of the gearbox in a short calculation time. Since the shape of the gearbox can not be represented by a spring-mass system, dynamic characteristics are modeled by the finite element and degenerated to be captured in 1DCAE. Besides, since the transmission error as the vibration source is caused by tooth deflection, tooth profile error, assembly error, etc., it is difficult to calculate the transmission error in an actual machine by calculation. Hence, in this study, the transmission error is known and handled as input value. By modeling in this method, it becomes possible to calculate the vibration occurring in the gearbox under operating condition at high speed and with higher accuracy. This makes it easy to search for parameters that contribute to lower vibration of the gearbox. Next, an experimental device corresponding to the analysis model is designed and manufactured, and the effectiveness of the developed model is verified by comparing the experiment result with the analysis result. Furthermore, the influence of the gearbox specification on the gearbox vibration is clarified using the developed model.