Summary
Gear transmission systems constitute a key component in a multitude of applications such as transportation, manufacturing, industry, etc. As such, dynamic analysis of such systems is a powerful tool during the design and operation of machinery incorporating geared connections. Gear transmission systems, while being the most powerful method of motion transmission in terms of torque, suffer from considerable vibrations due to the gear meshing phenomena that appear during operation. The need for analyzing such non-linear phenomena has led to the development of multiple gear meshing models, incorporating the effects of non-linear contact force models [1], hertzian contact effects [2], time-varying backlash [3] and stiffness [4] as well as the modeling of faults mechanisms [5]. While multiple cases of gear dynamic analysis are mentioned in literature, due to the complexity of gear meshing mechanism, there are almost no reports available for analysis of large geared systems that simultaneously incorporate modeling of the detailed gear meshing phenomena. To this end, this work aims to provide an analytical formulation for gear meshing forces, incorporating the effects of time-varying stiffness in the model while also being suitable for dynamic analysis of large geared systems and the modeling of fault mechanisms.
