Background

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.

Methods

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.

Results

Abundant dynamic behaviors of periodic, quasi-periodic, harmonic, sub-harmonic, multi-harmonic, and chaotic responses are revealed with the variation of the 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.

Conclusion

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.

中文翻译：

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具有非对称载荷输入的DI-SO斜齿轮系统的动态演化定律

背景

DI-SO（双输入单输出）斜齿轮是许多推进系统的关键组成部分，由多个时变参数和不对称输入负载引起的非线性不稳定性现象不容忽视。

方法

研究了考虑多种非线性因素的DI-SO斜齿轮系统的非线性动力学模型，并通过数值分析方法发现了动态特性随载荷和结构参数的演变规律。

结果

随着系统参数的变化，揭示了周期性，准周期性，谐波，次谐波，多谐波和混沌响应的丰富动态行为。诸如激励频率，负载比和负载值之类的负载参数的增加有利于提高系统的稳定性。随着螺旋角和端面宽度的结构参数的增加，系统的动态响应会发生波动变化。

结论

这项研究提出了适当的转速，重载和高接触比对于系统稳定性的重要性，并为DI-SO斜齿轮推进系统的设计和优化提供了理论参考。