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声子晶体刚架结构的能带折叠及振动抑制研究

Band Folding and Vibration Suppression in Phononic Crystal Rigid Frame Structures
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摘要 提出一种用于低频宽带振动抑制的新型声子晶体刚架(Phononic Crystal Rigid Frame,PCRF)结构。该结构的单胞由X型子结构和预变形子结构组成。利用有限元法(Finite Element Method,FEM)计算其色散关系,证明PCRF结构可以打开能带折叠点,并探讨其能带折叠机理。基于谱元法(Spectral Element Method,SEM)建立理论模型,其振动传递率的计算结果与有限元分析结果高度吻合。与传统X型周期刚架结构相比,PCRF结构通过打开能带折叠点,可在特定频率范围内产生两个新的振动带隙,从而拓宽减振频率范围。此外,还讨论了几何参数α对PCRF结构带隙的影响。 A novel phononic crystal rigid frame(PCRF)structure for low-frequency broadband vibration suppression is proposed.The unit cell of this structure consists of X-shaped substructures and pre-deformed substructures.By using the finite element method(FEM),the dispersion relationship was calculated.It was confirmed that the PCRF structure can open the band folding point.Its band folding mechanism was explored.Based on the spectral element method(SEM),a theoretical model was established,and the calculated vibration transmission rate was found to be highly consistent with the finite element analysis results.Compared with the traditional X-shaped periodic rigid frame structure,the PCRF structure can open up the band folding point,generate two new bandgaps and widen the vibration reduction range.In addition,the influence of geometric parameterαon the bandgap of PCRF structure was discussed.
作者 张明思 王芳 黄志高 ZHANG Mingsi;WANG Fang;HUANG Zhigao(Wuhan Railway Vocational College of Technology,Wuhan 430223,China;College of Automation,Huazhong University of Science and Technology,Wuhan 430000,China)
出处 《噪声与振动控制》 北大核心 2025年第5期71-76,共6页 Noise and Vibration Control
基金 国家自然科学基金资助项目(52201362)。
关键词 声学 声子晶体 刚架结构 带隙 宽带振动抑制 能带折叠 acoustics phononic crystal rigid frame structure bandgap broadband vibration suppression band-folding
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