Continuously adjustable mechanical metamaterial based on planetary gear trains and external meshing gears

doi:10.1007/s10483-025-3219-6

Abstract

Abstract:

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

2010 MSC Number:

TB34

Shuai MO, Xu TANG, Keren CHEN, H. HOUJOH, Wei ZHANG. Continuously adjustable mechanical metamaterial based on planetary gear trains and external meshing gears. Applied Mathematics and Mechanics (English Edition), 2025, 46(2): 233-252.

TrendMD

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Parameter	Modulus/mm	Tooth number	Pitch radius/mm
External meshing gear	0.3	40	12
Sun gear	0.3	40	12
Planetary gear	0.3	20	3
Ring gear (internal meshing)	0.3	80	24
Ring gear (external meshing)	0.6	50	30