振幅增强型超材料梁中弹性波的复能带特性分析  

Complex band structure characterization of elastic waves in amplitude enhanced metamaterial beams

作　　者：郭文杰 洪显 罗文俊[1] 颜建伟 聂彪 GUO Wenjie;HONG Xian;LUO Wenjun;YAN Jianwei;NEI Biao(State Key Laboratory of Performance Monitoring and Protecting of Rail Transit Infrastructure,East China Jiaotong University,Nanchang 330013,China)

机构地区：[1]华东交通大学轨道交通基础设施性能监测与保护国家重点实验室,江西南昌330013

出　　处：《振动工程学报》2025年第3期499-506,共8页Journal of Vibration Engineering

基　　金：国家自然科学基金资助项目(52225210,52402425);江西省自然科学基金资助项目(20224BAB204069,20242BAB214078);江西省博士后择优资助项目(2021KY25);江西省教育厅科技项目(GJJ2200629);江西省研究生创新资金资助项目(YC2022-s555)。

摘　　要：超长梁结构的振动频率跨度大,为实现超长梁结构的宽频振动控制,在梁上周期布置含有阻尼的振幅增强型动力吸振器。振幅放大装置通过人为地放大受控点处的振幅,从而提高吸振器的工作能力。为能考虑阻尼的影响,建立了复能带分析模型,并基于人工弹簧模型和能量法提出了一种复能带计算方法。利用该方法分析了振幅放大装置形式、吸振器阻尼和放大系数对复能带的影响。并研究了非接地式振幅放大装置连接点相对位置对其减振性能的影响。结果表明,振幅放大装置形式、吸振器阻尼和放大系数对复能带的影响很大;合适的相对位置能够大幅度提高非接地式振幅放大装置的工作能力。Ultra-long beam structure has large vibration frequency span.To control the wide frequency vibration of ultra-long beam structures,amplitude-enhanced dynamic vibration absorbers with damping are arranged periodically on the beam.The amplitude magnification device artificially magnifies the amplitude at the controlled point,thereby increasing the operating ability of the absorber.To be able to consider the effect of damping,a complex band structure analysis model is established,and a new complex band structure calculation method is proposed based on the artificial spring model and the energy method.This method is used to analyze the effect of amplification device type,absorber damping and magnification factor on the complex band structure in detail.The effect of the relative position of the connection points of the ungrounded magnification device on its vibration damping performance is studied.The results show that the magnitude amplification device type,absorber damping and magnification factor have great influence on the complex band structure.The suitably relative position can significantly improve the working ability of the ungrounded magnification device.

关 键 词：超材料梁 动力吸振器 复能带 振幅放大机制 人工弹簧 

分 类 号：O327[理学—一般力学与力学基础] O328[理学—力学]