Analysis of clearance effect on the chaotic vibration of a gear set

In this study the dynamic model of a gear system has been extracted considering the effect of clearance between teeth and transmission error. Due to the fact that static transmission errors occur for a variety of reasons, including manufacturing errors and tooth deformation, and have an intermittent nature, a Fourier series has been used to approximate it. The clearance is due to the installation and gear wear, also the need for better lubrication and reduced interaction between the teeth, requires that there be some clearance between the gears. Therefore, a function is used to model the effect of clearance on the dynamic behavior of system. The excitation torque is considered sinusoidal and the load torque is constant. After modeling the above mentioned, the governing equations have been extracted and numerically solved to obtain the vibration response of the gear system. In order to analyze the effect of clearance on gear system vibrations, the response was obtained for different values of clearance. The time response, frequency spectrum, and phase plane are plotted to investigate these effects. The results show that the vibration response is chaotic and the value of clearance has a significant effect on this chaotic behavior.

Keywords:

Gear , chaos , vibration , transmission error , clearance