Dynamic Evolution Laws of the DI-SO Helical Gear System with Unsymmetrical Load Inputs

Abstract

DI-SO (Double inputs and single output) helical gears are the key components of many propulsion systems and the phenomenon of nonlinear instability caused by multiple time-varying parameters and unsymmetrical input loads cannot be ignored. The nonlinear dynamic model of the DI-SO helical gear system was studied considering multiple nonlinear factors, and the evolution laws of the dynamic characteristics with load and structural parameters were discovered by numerical analysis methods. Abundant dynamic behaviors of periodic, quasi-periodic, harmonic, sub-harmonic, multi-harmonic, and chaotic responses are revealed with\xa0the\xa0variation\xa0of\xa0the system parameters. The increases of the load parameters, such as the excitation frequency, the load ratio, and the load value, are beneficial to improve the stability of the system. With the increasing structural parameters of the helix angle and the face width, the dynamic response of the system changes in fluctuation. This study puts forward the importance of appropriate rotate speed, heavy load, and high contact ratio for the stability of the system and provides a theoretical reference for the design and optimization of the propulsion system with DI-SO helical gears.