连续多稳态齿轮元胞机械超结构及其力学性能

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关键词：机械超结构；齿轮元胞；力学性能；连续可调；减振结构

中图分类号：TB34

DOI：10.3969/j.issn.1004-132X.2025.04.023 开放科学（资源服务）标识码（OSID）：

Continuous Multi-stable Gear Cell Mechanical Metastructures and Mechanics Properties

MO Shuai1，2，3 * HUANG Xuan1，² HUANG Zurui1，² ZHANG Wei1 1.State Key Laboratory of Featured Metal Materials and Life-cycle Safety for Composite Structures，Nanning，530004 2.School of Mechanical Engineering，Guangxi University，Nanning，530004 3.State Key Lab of Digital Manufacturing Equipment and Technology，Huazhong University of Science and Technology，Wuhan，430074

Abstract： In order to expand the forms of mechanical metastructures and optimize the dynamic adjustment ability of mechanical metastructures，a micro gear unit structure was designed，which was periodicall arranged in a two-dimensional plane to form a metastructure. The structural design principle and stability of the metastructure were analyzed.It is demonstrated that continuous and stable tunable of mechanics properties may be achieved by the designed metastructure. The extensive mechanics properties of this metastructure，including statics and dynamics，were analyzed through finite element simulation method.The results indicate that the elastic modulus of the externall meshed gear cells has a tuning range exceeding 1O times，while that of the internally meshed planetary gear cells exceeds 200 times. A considerable tunable range is also observed in the shear modulus.Additionally，the continuous change of the natural frequency and frequency amplitude curve may be realized by this gear unit-based metastructure，providing a new idea for the design of materials aimed at vibration reduction. Finally，a variety of metastructure vibration reduction devices were designed based on this micro gear unit， demonstrating the unique advantages and broad application prospects in vibration reduction and dynamic control.

Key words： mechanical metastructure; gear cell; mechanics property; continuously tunable； vibration-reduction structure

0 引言

超材料/超结构是具有非常规性能的人工结构[1-3]，机械超结构的发展可以追溯到早期的周期梁、板、蜂窝等结构，通过合理配置与优化这些元素，可以实现负泊松比、低密度、高强度等优异力学性能，如GAO等[4]、CHENG等[5]通过对负泊松比结构进行优化，得到具有增强机械性能的超材料。（剩余9520字）