Formation Mechanism of Ultra-Low-Frequency Broadband Bandgap in Lightweight Two-Stage Inertial Amplification Metastructure

LI Suobin; LI Hengyuan; LIU Shaohu; LIU Zhenhang; LI Rui

doi:10.7652/xjtuxb202610021

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Formation Mechanism of Ultra-Low-Frequency Broadband Bandgap in Lightweight Two-Stage Inertial Amplification Metastructure

更新时间：2026-09-29

- Formation Mechanism of Ultra-Low-Frequency Broadband Bandgap in Lightweight Two-Stage Inertial Amplification Metastructure
- Journal of Xi'an Jiaotong University Vol. 60, Issue 10, Pages: 242-252(2026)
- 作者机构：
  
  西安石油大学机械工程学院，710065，西安
  国家油气钻井装备工程技术研究中心，721002，陕西宝鸡
  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/xjtuxb202610021
  CLC： TH113.1
- Received：27 February 2026，
  
  Online First：09 May 2026，
  
  Published：10 October 2026
- 稿件说明：
移动端阅览
LI Suobin, LI Hengyuan, LIU Shaohu, et al. Formation Mechanism of Ultra-Low-Frequency Broadband Bandgap in Lightweight Two-Stage Inertial Amplification Metastructure[J/OL]. Journal of Xi'an Jiaotong University,2026,60 (10):242-252. https://doi.org/10.7652/xjtuxb202610021.
DOI：

LI Suobin, LI Hengyuan, LIU Shaohu, et al. Formation Mechanism of Ultra-Low-Frequency Broadband Bandgap in Lightweight Two-Stage Inertial Amplification Metastructure[J/OL]. Journal of Xi'an Jiaotong University,2026,60 (10):242-252. https://doi.org/10.7652/xjtuxb202610021. DOI：

摘要

针对轻质超结构在实现超低宽频带隙时面临的轻量化与低频宽带隙性能难以协同的固有矛盾，提出了一种基于运动分解与转换机制的二级惯性放大轻质超结构超低宽频带隙协同设计理论与方法。通过耦合杆系惯性放大机构与丝杠惯容机构为具体实现构型，构建具有超低频特性的轻质二级惯性放大振子，并将其引入超结构中，实现了轻质、超低频与宽带隙的协同设计。研究结果表明：该振子主模态激发的二级惯性放大机制所产生的大等效惯性质量，不仅赋予振子超低频特性，还形成了强惯性效应与强模态抑制力，从而在轻质超结构中形成超低频宽带隙。该型超结构带隙起始频率可降至6.32Hz，相较于相同参数的单级惯性放大超结构降低了77.6%，相对带宽拓宽了26.3倍。斜杆倾角、飞轮的几何参数及螺杆导程是调控惯性放大系数的关键参数，通过多参数协同设计优化，可实现目标带隙的精准调控。本文提出的二级惯性放大轻质超结构协同设计方法，通过提升惯性放大系数，有效突破了结构轻质化与超低宽频带隙难以共存的固有矛盾。

Abstract

To address the inherent contradiction between lightweight design and low-frequency broadband bandgap performance in lightweight metastructures

a synergistic design theory and method for ultra-low-frequency broadband bandgaps in lightweight two-stage inertial amplification metastructures based on the motion decomposition and conversion mechanism are proposed. By coupling a linkage-based inertial amplification mechanism with a screw-type inerter mechanism as the specific physical configuration

a lightweight two-stage inertial amplification resonator with ultra-low-frequency characteristics is constructed and introduced into the metastructure

whereby a synergistic design of lightweight characteristics

ultra-low-frequency performance

and broadband bandgap is achieved. It is revealed by the research results that a large equivalent inertial mass is generated by the two-stage inertial amplification mechanism excited by the dominant mode of the resonator. This substantial mass not only endows the resonator with ultra-low-frequency characteristics but also produces a strong inertial effect and strong modal suppression forces

whereby an ultra-low-frequency broadband bandgap is established within the lightweight metastructure. It is further demonstrated that the bandgap starting frequency of this type of metastructure can be reduced to 6.32Hz

which is decreased by 77.6% compared to a single-stage inertial amplification metastructure with identical parameters

while the relative bandwidth is broadened by a factor of 26.3. The inclination angle of the inclined rod

the geometric parameters of the flywheel

and the screw lead are identified as the key parameters for regulating the inertial amplification factor. Through multi-parameter synergistic design optimization

precise regulation of the target bandgap can be achieved. By enhancing the inertial amplification factor

the inherent contradiction between structural lightweighting and ultra-low-frequency broadband bandgaps is effectively overcome by the synergistic design method for lightweight two-stage inertial amplification metastructures proposed in this paper.

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