Three-dimensional vibration investigation of the thin web gear pair based on Timoshenko beam
Three-dimensional vibration investigation of the thin web gear pair based on Timoshenko beam
复制标题
基于Timoshenko梁的薄板齿轮副三维振动研究
DOI：
10.1016/j.tws.2022.110507
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发表时间：
2023-03
影响因子：
6.4
通讯作者：
Tiancheng Li;Jinyuan Tang;Zehua Hu;Zhiwei Wang-;Zhengyu Fu
中科院分区：
文献类型：
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作者：
Tiancheng Li;Jinyuan Tang;Zehua Hu;Zhiwei Wang-;Zhengyu Fu
In the aerospace transmission system, thin web gears are appreciated for reducing weight. Due to the force excitation from the helical gear, except the in-plane vibrations, gears are also vulnerable to out-of-plane vibrations which may cause system instability. However, few papers investigated how the out-of-plane vibrations influence the system in current years. This study analyzes both the in-plane and out-of-plane vibration modes of thin web gear based on the Timoshenko theory. The governing equations of three-dimensional displacements are derived from Hamilton’s principles. The results show that instability will likely happen in out-of-plane vibration and the existence of discrete springs will deteriorate the instability. Additionally, frequency veering is a common phenomenon in a non-axisymmetry gear system. A comparison between the Timoshenko and Euler–Bernoulli models indicates little differences are founded at zero speed, but a significate gap comes up at high rotation speed. Lastly, a Timoshenko gear pair model with a coupling mesh stiffness matrix is presented. The natural frequencies divers from those with independent discrete springs fixed to the ground. The results indicate the importance of the coupling mesh stiffness matrix in system vibration analysis. This work is introductive in the thin web gear transmission system design.
