连续多稳态齿轮元胞机械超结构及其力学性能

doi:10.3969/j.issn.1004-132X.2025.04.023

中国机械工程 ›› 2025, Vol. 36 ›› Issue (04): 857-863，887.DOI: 10.3969/j.issn.1004-132X.2025.04.023

连续多稳态齿轮元胞机械超结构及其力学性能

莫帅^1,2,3*;黄轩^1,2;黄祖瑞^1,2;张伟¹

1.特色金属材料与组合结构全寿命安全国家重点实验室，南宁，530004
2.广西大学机械工程学院，南宁，530004
3.华中科技大学数字制造装备与技术国家重点实验室，武汉，430074

出版日期:2025-04-25 发布日期:2025-05-22
作者简介:莫帅*，男，1987年生，教授、博士研究生导师。研究方向为力学超材料设计及复杂非线性动力学。E-mail：moshuai2010@163.com。
基金资助:
国家自然科学基金(52265004)；广西科技重大专项(桂科AA23073019)；数字制造装备与技术国家重点实验室开放基金(DMETKF2021017)；广西研究生教育创新计划(YCSW2024028)

Continuous Multi-stable Gear Cell Mechanical Metastructures and Mechanics Properties

MO Shuai^1,2,3*;HUANG Xuan^1,2;HUANG Zurui^1,2;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

Online:2025-04-25 Published:2025-05-22

摘要/Abstract

摘要： 为拓展机械超结构形式、优化机械超结构动态调节能力，设计出一种微观齿轮单元结构，在二维平面内周期性排列形成超结构。从结构设计原理和稳定性方面对该超结构进行了分析，表明所设计的超结构能够实现力学性能连续、稳定调节。通过有限元模拟的方法分析了这种超结构广泛的力学性能，包括静力学与动力学。研究结果表明，外啮合齿轮胞的弹性模量调节范围超过了10倍，内啮合行星齿轮胞的弹性模量调节范围则超过200倍，其剪切模量也有可观的调节范围；此外，基于齿轮单元的超结构可以实现固有频率与频幅曲线的连续变化，为材料的避振减振设计提供了新的思路。最后，基于这种微观齿轮单元设计出多种减振装置，证明了它在减振与动力学调控的独特优势与广阔应用前景。

关键词: 机械超结构, 齿轮元胞, 力学性能, 连续可调, 减振结构

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 periodically 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 externally meshed gear cells has a tuning range exceeding 10 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

中图分类号:

TB34

莫帅1, 2, 3, 黄轩1, 2, 黄祖瑞1, 2, 张伟1. 连续多稳态齿轮元胞机械超结构及其力学性能[J]. 中国机械工程, 2025, 36(04): 857-863，887.

MO Shuai1, 2, 3, HUANG Xuan1, 2, HUANG Zurui1, 2, ZHANG Wei1. Continuous Multi-stable Gear Cell Mechanical Metastructures and Mechanics Properties[J]. China Mechanical Engineering, 2025, 36(04): 857-863，887.

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链接本文: https://www.cmemo.org.cn/CN/10.3969/j.issn.1004-132X.2025.04.023

https://www.cmemo.org.cn/CN/Y2025/V36/I04/857

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连续多稳态齿轮元胞机械超结构及其力学性能

Continuous Multi-stable Gear Cell Mechanical Metastructures and Mechanics Properties

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