Applied Mathematics and Mechanics >
Continuously adjustable mechanical metamaterial based on planetary gear trains and external meshing gears
Received date: 2024-08-23
Revised date: 2024-12-11
Online published: 2025-02-02
Supported by
the Guangxi Science and Technology Major Program of China (Nos. AA23073019 and AA24263074), the National Natural Science Foundation of China (No. 52265004), and the Guangxi Natural Science Fund for Distinguished Young Scholars of China (No. 2024JJG160014)
Copyright
The metamaterial based on external meshing gears (MEG) is designed based on the principle of external meshing gear transmission. Based on the meshing transmission principle of external meshing gears and planetary gear trains, the internal and external gear rings are designed. Based on the internal and external gear rings, the metamaterial based on inner and outer planetary gear trains (MIP) is designed to study the shear modulus, Young's modulus, and amplitude-frequency characteristics of the metamaterial based on gears at different angles. The effects of the number of planetary gears on the physical characteristics of the MIP are studied. The results show that the MEG can be continuously adjusted by adjusting the shear modulus and Young's modulus due to its meshing characteristics. With the same number of gears, the adjustment range of the MIP is larger than the adjustment range of the MEG. When the number of planetary gears increases, the adjustment range of the MIP decreases. Moreover, when the metamaterial based on gears rotates, the harmonic response changes with the change of the angle.
Key words： metamaterial; adjustable; external; inner and outer; planetary gear train
Shuai MO, Xu TANG, Keren CHEN, H. HOUJOH, Wei ZHANG . Continuously adjustable mechanical metamaterial based on planetary gear trains and external meshing gears[J]. Applied Mathematics and Mechanics, 2025 , 46(2) : 233 -252 . DOI: 10.1007/s10483-025-3219-6
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