Rotordynamics analysis of a single helical gear transmission system for high speed applications

Abstract

Since the non-linear dynamic response under various high-speed conditions can directly affect the life of gear transmission systems. In addition, the transmission error and dynamic mesh force play a key role in noise and harshness analysis of gear bearing coupled systems. So, in this piece of work, a 12 degree of freedom dynamic model is developed to probe the vibration response by using finite element method and taking into account the bearing and flexible shafts in the first part. Subsequently, some meshing gear characteristics such as dynamic and vibration acceleration response under different rotational speeds (1000-9000 rev/minute) were analyzed whereas critical speed appeared at 6500 rev/minute. Then, the stability analysis is performed to investigate the dynamics behind the critical speed by using MASTA. It was observed that natural frequency of 0.45 kHz for a fourth harmonic order is analogous to critical speed which further causes sudden elevation in both dynamic mesh force and transmission error.

Modern Approaches in the Design of Measuring Equipment

“…The algorithms for calculating the tooth frequencies that were required in the design of the second type of frame are described in detail in [5,6]. The procedures described in [5,6] lead to calculations of tooth frequencies, but in any case, it is necessary to keep in mind the effects of the whole gearing, for example [7].…”

Experimental‐based study of gear vibration characteristics incorporating the fractal topography of tooth surface

“…The dynamic responses of gear transmission under different working conditions have been studied extensively 2,3 . Various monitoring and diagnostic methods can be proposed based on vibration signal analysis 4–8 .…”