Mechanism and Design Methodology for Ultra-Low Frequency Bandgaps in Lightweight High-Stiffness Metastructures

LI Suobin; CAI Yiwei; WANG Hang; LI Hengyuan; LI Rui

doi:10.7652/xjtuxb202509008

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Mechanism and Design Methodology for Ultra-Low Frequency Bandgaps in Lightweight High-Stiffness Metastructures

更新时间：2025-09-11

- Mechanism and Design Methodology for Ultra-Low Frequency Bandgaps in Lightweight High-Stiffness Metastructures
- Journal of Xi’an Jiaotong University Vol. 59, Issue 9, Pages: 77-87(2025)
- 作者机构：
  
  1.西安石油大学机械工程学院， 710065，西安
  2.西安交通大学机械工程学院， 710049，西安
- 作者简介：
- 基金信息：
- DOI：10.7652/xjtuxb202509008
  CLC： TH113.1
- Received：18 March 2025，
  
  Online First：06 May 2025，
  
  Published：10 September 2025
- 稿件说明：
移动端阅览
LI Suobin, CAI Yiwei, WANG Hang, et al. Mechanism and Design Methodology for Ultra-Low Frequency Bandgaps in Lightweight High-Stiffness Metastructures[J]. Journal of Xi’an Jiaotong University, 2025, 59(9): 77-87.
DOI：

LI Suobin, CAI Yiwei, WANG Hang, et al. Mechanism and Design Methodology for Ultra-Low Frequency Bandgaps in Lightweight High-Stiffness Metastructures[J]. Journal of Xi’an Jiaotong University, 2025, 59(9): 77-87. DOI： 10.7652/xjtuxb202509008.

摘要

针对轻质高刚度超结构/超材料中难以实现10 Hz以内的超低频振动带隙问题，提出了一种基于轻质高刚度超低频一体化振子的轻质高刚度超结构超低频带隙设计新思路与方法。在不改变轻质高刚度振子实际质量和刚度的基础上，通过同时放大振子的动态质量和降低动态刚度，构造具有超低频特性的轻质高刚度一体化振子，将其引入夹芯结构创造出了一种兼具轻质、高刚度和超低频带隙特性的新型超结构。结果表明：将所设计的轻质高刚度超低频一体化振子引入夹芯结构板后，振子机构的主模态振型使其动态质量被放大的同时其动态刚度降低，致使结构带隙的打开频率降低至5.5 Hz，较传统结构降低了约72%，且该新型结构在整个超低频、低频范围内具有良好的振动衰减特性；轻质高刚度超低频振子中，负刚度元件的高度、厚度、跨度以及杠杆臂长比是影响带隙和振动传输特性的关键因素，通过微调可以实现目标带隙的位置、带宽和振动传输特性的精准调控。提出的轻质高刚度超结构超低频带隙机理与设计方法解决了传统超结构设计中超低频带隙与结构轻质高刚度不可兼并的问题，所设计的超结构可兼具轻质、承载和超低频带隙特性，可为实现轻量化的工程结构功能一体化超低频减振目标提供一种新方法。

Abstract

To address the challenge of achieving ultra-low frequency vibration bandgaps below 10 Hz in lightweight high-stiffness metastructures/metamaterials

a new idea and method for designing ultra-low frequency bandgaps in lightweight high-stiffness metastructures is proposed based on lightweight high-stiffness ultra-low frequency integrated resonators. By simultaneously increasing the dynamic mass and reducing the dynamic stiffness of the resonator without altering its actual mass and stiffness

a lightweight high-stiffness integrated resonator with ultra-low frequency characteristics is created. This resonator is incorporated into a sandwich metastructure

resulting in a novel metastructure that combines lightweight

high-stiffness

and ultra-low frequency bandgap characteristics. The results demonstrate that when the designed lightweight high-stiffness ultra-low frequency integrated resonator is introduced into the sandwich metastructure plate

the main modal shape of the resonator mechanism amplifies its dynamic mass while decreasing its dynamic stiffness. This leads to a reduction in the opening frequency of the bandgap to 5.5 Hz

approximately 72% lower than that of conventional structures

and the new structure exhibits excellent vibration attenuation characteristics across the entire ultra-low and low-frequency range. In the lightweight high-stiffness ultra-low frequency resonator

the height

thickness

span of the negative stiffness components

and the length ratio of the lever arm are key factors influencing the bandgap and vibration transmission characteristics. Fine-tuning these parameters allows for precise control of the target bandgap position

bandwidth

and vibration transmission characteristics. The proposed mechanism and design method for ultra-low frequency bandgaps in lightweight high-stiffness metastructures address the incompatibility between ultra-low frequency bandgaps and the lightweight high-stiffness demands in traditional metastructure designs. The designed metastructure offers a new method for achieving integrated ultra-low frequency vibration reduction goals in lightweight engineering structures while maintaining lightweight

load-bearing

and ultra-low frequency bandgap features.

关键词

Keywords

references

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