Mechanical Sciences
Mechanical Sciences
Mechanical Sciences
Articles | Volume 16, issue 2
Articles | Volume 16, issue 2
https://doi.org/10.5194/ms-16-417-2025
© Author(s) 2025. This work is distributed under
the Creative Commons Attribution 4.0 License.
https://doi.org/10.5194/ms-16-417-2025
© Author(s) 2025. This work is distributed under
the Creative Commons Attribution 4.0 License.
Articles | Volume 16, issue 2
Research article
 | 
08 Sep 2025
Research article |  | 08 Sep 2025

Study on the stability of analytical periodic solutions of nonlinear gear systems

Bing Dai, Zengcheng Wang, Zongxu Dai, Yang Liu, Shiyuan Qi, and Tao Chen

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Short summary
The gear system with backlash is a strongly nonlinear system, and the widely used harmonic balance method cannot meet the requirements. Additionally, the quasi-periodic and unstable periodic motion analytical solutions may be derived, and the principle of chaos generation can be further explained. Therefore, the effect of the generalized harmonic balance method DTE (dynamic transmission error) on system bifurcation and stability is studied.
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