{"title":"Metamaterial-based vibration suppression stories (VSSs) for mitigating train-induced structural vibrations in multi-story and high-rise buildings","authors":"Feifei Sun , Chao Zeng , Wenhan Yin , Jiaqi Wen","doi":"10.1016/j.apm.2025.116075","DOIUrl":null,"url":null,"abstract":"<div><div>With the rapid development of urban rail transit systems, the issues of structural vibration and re-radiated noise in adjacent buildings have become increasingly prominent. This paper investigates the feasibility of a novel metamaterial-based Vibration Suppression Stories (VSSs) for mitigating train-induced structural vibrations from the perspective of vibration propagation. A Lumped Parameter Model (LPM) has been developed to accurately predict the dynamic behavior of single-span multi-story and high-rise buildings under vertical ground excitations induced by train operations. The validity of this model has been confirmed through finite element analysis of a 12-story building. Additionally, an in-depth analysis has been conducted on the attenuation zone characteristics of an infinite controlled structure equipped with VSS oscillators. A closed-form analytical expression has been derived to provide insight into the general attenuation behavior of dual-oscillator metamaterials. The results show that the VSSs perform well in the high-frequency range. Furthermore, the local resonance of the beam-restrained floor slabs enhances the vibration attenuation capacity of the VSSs in the frequency range above the slab's natural frequency. To quantitatively evaluate the vibration attenuation performance of the VSS, vibration transmission and response history analyses are performed on a 12-story building equipped with three VSSs. The results indicate that the VSSs significantly suppress target peak responses, particularly for high-frequency global vibrations. This research presents a new and effective approach for addressing train-induced vibration issues in buildings.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"144 ","pages":"Article 116075"},"PeriodicalIF":4.4000,"publicationDate":"2025-03-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Applied Mathematical Modelling","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0307904X25001507","RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"ENGINEERING, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0
Abstract
With the rapid development of urban rail transit systems, the issues of structural vibration and re-radiated noise in adjacent buildings have become increasingly prominent. This paper investigates the feasibility of a novel metamaterial-based Vibration Suppression Stories (VSSs) for mitigating train-induced structural vibrations from the perspective of vibration propagation. A Lumped Parameter Model (LPM) has been developed to accurately predict the dynamic behavior of single-span multi-story and high-rise buildings under vertical ground excitations induced by train operations. The validity of this model has been confirmed through finite element analysis of a 12-story building. Additionally, an in-depth analysis has been conducted on the attenuation zone characteristics of an infinite controlled structure equipped with VSS oscillators. A closed-form analytical expression has been derived to provide insight into the general attenuation behavior of dual-oscillator metamaterials. The results show that the VSSs perform well in the high-frequency range. Furthermore, the local resonance of the beam-restrained floor slabs enhances the vibration attenuation capacity of the VSSs in the frequency range above the slab's natural frequency. To quantitatively evaluate the vibration attenuation performance of the VSS, vibration transmission and response history analyses are performed on a 12-story building equipped with three VSSs. The results indicate that the VSSs significantly suppress target peak responses, particularly for high-frequency global vibrations. This research presents a new and effective approach for addressing train-induced vibration issues in buildings.
期刊介绍:
Applied Mathematical Modelling focuses on research related to the mathematical modelling of engineering and environmental processes, manufacturing, and industrial systems. A significant emerging area of research activity involves multiphysics processes, and contributions in this area are particularly encouraged.
This influential publication covers a wide spectrum of subjects including heat transfer, fluid mechanics, CFD, and transport phenomena; solid mechanics and mechanics of metals; electromagnets and MHD; reliability modelling and system optimization; finite volume, finite element, and boundary element procedures; modelling of inventory, industrial, manufacturing and logistics systems for viable decision making; civil engineering systems and structures; mineral and energy resources; relevant software engineering issues associated with CAD and CAE; and materials and metallurgical engineering.
Applied Mathematical Modelling is primarily interested in papers developing increased insights into real-world problems through novel mathematical modelling, novel applications or a combination of these. Papers employing existing numerical techniques must demonstrate sufficient novelty in the solution of practical problems. Papers on fuzzy logic in decision-making or purely financial mathematics are normally not considered. Research on fractional differential equations, bifurcation, and numerical methods needs to include practical examples. Population dynamics must solve realistic scenarios. Papers in the area of logistics and business modelling should demonstrate meaningful managerial insight. Submissions with no real-world application will not be considered.