噪声与振动控制2025，Vol.45Issue(3)：35-41,7.DOI:10.3969/j.issn.1006-1355.2025.03.006
基于拉扭耦合谐振的超结构板设计与减振特性研究
Design and Vibration Reduction Characteristics of Metastructure Plates Based on Tension-torsion Coupled Resonance
摘要
Abstract
The extreme conditions in space and other hazard environments have proposed higher demands on the static and dynamic performances of engineering structures.In addition to ensuring the structural load-bearing capacity,achieving lightweight design and multi-band vibration reduction capability is also very important.To meet these requirements,this study presented the design of a tension-torsion coupled metastructure plates.By utilizing the flexural wave bandgaps generat-ed by the 2-DOF coupling resonances,the proposed metastructure plate achieves dual-band vibration reduction at low fre-quencies.Firstly,a unit-cell equivalent model with tension-torsion dual degrees of freedom was introduced.Based on this model,the Plane Wave Expansion(PWE)method was employed to calculate the band gap characteristics of the metastruc-ture plate.Additionally,the accuracy of the band gap calculation method was verified through FEA.This study reveals that,compared to the translational tension-compression single-DOF resonators,the tension-torsion coupled 2-DOF resonators open up a new flexural wave band gap in the plate construction.Furthermore,the influence of the normalized equivalent stiff-ness coefficient on the positions and widths of the two band gaps was analyzed.Finally,the vibration transmission coeffi-cient of a 10×5 array of the metastructure plate was calculated using FEA.The obtained vibration attenuation region agrees precisely with the theoretically calculated band gap positions.This study provides valuable insights for the design of multi-band vibration reduction in lightweight metastructure plates.关键词
振动与波/拉扭耦合超结构板/等效刚度系数/平面波展开法/弯曲波带隙/双频带减振Key words
vibration and wave/tension-torsion coupled metastructure plate/equivalent stiffness coefficient/PWE method/flexural wave bandgap/dual-band vibration reduction分类
力学引用本文复制引用
桂文涛,赵建雷,马谦,朱睿..基于拉扭耦合谐振的超结构板设计与减振特性研究[J].噪声与振动控制,2025,45(3):35-41,7.基金项目
国家自然科学基金资助项目(U22B2078) （U22B2078）
国家重点研发计划资助项目(2021YFE0110900) （2021YFE0110900）
