基于土壤分层低频宽带隙地震超材料减震研究  

Research on low-frequency broadband-gap seismic metamaterials based on soil layering

作　　者：石南南 亢志宽 罗方慧 李振宝[1] 王利辉[1] 赵卓[1] SHI Nannan;KANG Zhikuan;LUO Fanghui;LI Zhenbao;WANG Lihui;ZHAO Zhuo(Key Laboratory of Urban Security and Disaster Engineering of China Ministry of Education,Beijing Key Laboratoryof Earthquake Engineering and Structure Rethofit,Beijing University of Technology,100124 Beijing,China)

机构地区：[1]北京工业大学城市与工程安全减灾教育部重点实验室,工程抗震与结构诊治北京市重点实验室,北京100124

出　　处：《应用力学学报》2025年第2期446-453,共8页Chinese Journal of Applied Mechanics

基　　金：国家自然科学基金青年项目(No.51708008)。

摘　　要：为研究土壤分层对地震超材料减震性能的影响,通过数值模拟,计算了4种在不同土壤分层工况下地震超材料的能带结构和透射谱。分析了在4层土壤分层时,钢管与混凝土的高度和厚度等几何参数对地震超材料全带隙宽度的影响。将地震超材料与隔震沟耦合,分析了结构沿ΓX方向衰减地震表面波的能力。结果显示,随着土层底部约束的增强,各条能带逐渐向上方移动。因此在实际工程中,可以通过增强地震超材料底部约束,获得预期全带隙宽度。几何参数分析表明,单胞高度和钢管厚度对地震超材料全带隙宽度有显著影响。通过设计钢管尺寸,可以得到宽度高达7.132 Hz的全带隙,这对共振基频在10 Hz内的高层和超高层建筑的抗震保护具有重要意义。隔震沟与地震超材料耦合后可以衰减沿ΓX方向0.1~20 Hz内的地震表面波,这有利于实现对地震表面波的全方位控制。In order to study the effect of soil stratification on the shock absorption performance of seismic metamaterials,the energy band structures and transmission spectra of four seismic metamaterials under different soil stratification conditions were calculated by numerical simulation.The effects of geometric parameters such as the height and thickness of the steel tube and concrete on the full band gap width of the seismic metamaterials were analyzed when the four-layer soil was layered.By coupling the seismic metamaterial with the isolation trench,the ability of the structure to attenuate seismic surface waves along the ΓX direction was analyzed.The results show that with the enhancement of soil bottom constraints,each energy band gradually moves upward.Therefore,in practical engineering,the expected full band gap width can be obtained by enhancing the bottom confinement of the seismic metamaterial.Geometric parameter analysis shows that the unit cell height and steel tube thickness have significant effects on the full band gap width of the seismic metamaterial.By designing the steel pipe size,a full band gap with a width of up to 7.132 Hz can be obtained,which is of great significance to the seismic protection of high-rise and super-high-rise buildings with a resonance fundamental frequency within 10 Hz.After the seismic isolation trench is coupled with the seismic metamaterial,it can attenuate the seismic surface wave within 0.1~20 Hz along the ΓX direction,which is beneficial to realizing the omnidirectional control of the seismic surface wave.

关 键 词：地震超材料 土壤分层 低频 带隙 地震表面波 透射谱 

分 类 号：TB34[一般工业技术—材料科学与工程]