Evolution of Vibration Characteristics of Double-input Single-output Helical Gear System with Asymmetric Dynamic Parameters

The double-input-single-output helical gear system is an important part of many marine power propulsion devices. The nonlinear instability of the system caused by asymmetric dynamic parameters cannot be ignored. Based on the scientific description of the internal parameters of the system, this paper studies the dynamic behavior of the double-input-single-output helical gear system through the system bifurcation diagram, time-domain and frequency-domain curves, phase diagram, Poincar é section, etc., and finds rich nonlinear phenomena. The research process reveals the evolution of the vibration characteristics of the system with the asymmetric dynamic parameters. The results show that increasing the load ratio and load value of the system is conducive to reducing the instability range of the system and improving the operation stability of the system. The research in this paper has positive significance for the design of dynamic parameters of the propulsion system of the transmission device using the double-input-single-output helical gear structure.

Double-input and single-output helical gear transmission system is an important part of marine power propulsion device. Based on the mathematical description of the internal nonlinear parameters of the helical gear system, taking into account the time-varying meshing stiffness, the stiffness excitation phase difference at the two ends of the parallel input, the time-varying backlash, the meshing damping and the comprehensive transmission error, the dynamic model of the dual-input single-output helical gear transmission system is established. Through the system bifurcation diagram, time-domain and frequency-domain curves, phase diagrams Poincar é section and others have studied the evolution of dynamic behavior of the system with asymmetric dynamic parameters. The results show that:

(1) With the increase of the load ratio at both ends of the high and low parallel input, the stability of the system is improved, and the effect of enhancing the stability of the system is particularly obvious for the helical gear pair at the low load input end;

(2) With the increase of the load value, the load ratio range of the system in stable periodic motion gradually broadens, which means that the load ratio adjustment range of the heavy-load system is wider;

(3) With the increase of load value, although the stability of the system is improved, the relative vibration displacement amplitude of two pairs of helical gear pairs increases in the instability range, and the instability vibration phenomenon is more severe.

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