轻质高刚度超结构超低频带隙机理及设计方法

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中图分类号：TH113.1 文献标志码：A

DOI： 10.7652/xjtuxb202509008 文章编号：0253-987X（2025）09-0077-11

Abstract： To address the challnge 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-stiffess 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-stifess，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 5.5Hz ，approximately （20号 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-stiffess 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.

Keywords： metastructures； metamaterials； vibration bandgap； ultra-low frequency vibrationattenuation；sandwich structure；lightweight

超结构作为一种新的人工智能结构概念，已发展成为一个具有重要工程应用价值和广泛应用前景的前沿科学领域。（剩余16321字）