| “工”字型径向弹性超材料零频起始带隙特性研究 |
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| 引用本文： | 李丽霞,贾琪,解妙霞,李玲,张锡成.“工”字型径向弹性超材料零频起始带隙特性研究[J].振动与冲击,2022(4). |
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| 作者姓名： | 李丽霞 贾琪 解妙霞 李玲 张锡成 |
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| 作者单位： | 西安建筑科技大学机电工程学院机械动力所;西安建筑科技大学力学研究院;西安建筑科技大学土木工程学院工程结构与抗震研究所 |
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| 基金项目： | 国家自然科学基金(51405368);陕西省自然科学基金(2017JM5024)。 |
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| 摘 要： | 为了得到零频起始带隙,提出"工"字型径向弹性超材料,并研究了其不同约束状态下弹性波的传播特性。通过对色散关系,频响函数和本征模位移场计算研究,发现在双面约束状态下可产生0~16 849 Hz的零频起始宽频带隙,主要由约束作用引起的模态转变产生。进一步,通过研究有限周期结构的方向振动位移场,发现零频起始带隙产生的机制为局域共振机制。最后,分析了结构参数对零频带隙位置及带宽的影响。研究结论可以应用于超低频减振等工程领域。
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| 关 键 词： | 弹性超材料 局域共振 低频带隙 轴对称模型 |
A study on zero-frequency stop band characteristics of "I" radial elastic metamaterials |
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| LI Lixia,JIA Qi,XIE Miaoxia,LI Ling,ZHANG Xicheng.A study on zero-frequency stop band characteristics of "I" radial elastic metamaterials[J].Journal of Vibration and Shock,2022(4). |
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| Authors: | LI Lixia JIA Qi XIE Miaoxia LI Ling ZHANG Xicheng |
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| Affiliation: | (Institute of Mechanical-Power,School of Mechanical and Electrical Engneering,Xi’an University of Architecture and Technology,Xi’an 710055,China;Institute of Mechanics and Technology,Xi’an University of Architecture and Technology,Xi’an 710055,China;Key Lab of Structure and Earthquake Resistance,School of Civil Engineering,Xi’an University of Architecture and Technology,Xi’an 710055,China) |
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| Abstract: | In order to obtain the zero-frequency stop band gap, I-shaped radial elastic metamaterials were proposed in this paper, and the propagation characteristics of elastic waves in different constrained states were studied. Through the calculation of dispersion relation, frequency response function, and eigenmode displacement field, it was found that zero-frequency stop wide band gap of 0-16 849 Hz can be generated under the condition of double-sided constraint, which is mainly caused by the mode transition due to the constraint. Furthermore, it was found that the mechanism of zero-frequency stop band gap is local resonance mechanism with studying the directional vibration displacement field of finite periodic structure. Finally, the influence of structure parameters on the zero-frequency band gap position and bandwidth was analyzed. The results can be applied to ultra-low frequency vibration reduction and other engineering fields. |
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| Keywords: | elastic metamaterial local resonant low-frequency band gaps axial symmetry models |
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