Analysis of Dynamic Behavior of the Finite Elastic Metamaterial-Based Structure With Frequency-Dependent Properties

Shen, Xiaohui; Sun, C. T.; Barnhart, Miles V.; Huang, Guoliang

doi:10.1115/1.4038950

Cited by 15 publications

(3 citation statements)

References 20 publications

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“…The most interesting property for the development of seismic metamaterials is the chance to exploit the frequency bandgap in which propagation of seismic wave is attenuated [2]. From this starting point a lot of searches in earthquake engineering started and proposed new approach in seismic protection: seismic cloaks and metabarriers as large-scale protection system of large built areas (and ground volume) and metafoundations, as improvement of seismic protection for the single building by including metamaterial design in the foundation structure [3][4][5][6][7][8][9]. The main evidence in all the applications is the low frequency working range (0.1-20 Hz), because both earthquakes frequency content and natural frequencies of most of the building in civil engineering are low.…”

Section: Seismic Metamaterialsmentioning

confidence: 99%

Metafoundation as a New Approach for Seismic Isolation of Buildings

Fiore¹,

Magisano²,

Finocchio³

et al. 2021

Proceedings of the 8th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering (COM

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Metamaterials for seismic protection are engineered to filter the low frequency component of seismic waves. In this study, we investigate the performance of a metastructure focusing on the improvement that the concept design of metamaterials can bring in the field of seismic isolation. The metastructure is realized as composite foundation built as a stack of concrete plates having internal resonant elements. The feasibility of the composite foundation is investigated by performing simulations in which at the base of each column of the building a composite metastructure replaces elastomeric isolator. Dynamic linear analyses are set for concrete multi-story frame buildings by using spectrum-compatible accelerograms for the horizontal components of the ground motion. The main result is the achievement of a reduction in the total displacement of the upper structure with respect a classical base isolation system. This work is a step forward in the understanding of the properties and performance of composite foundations as innovative base isolation system.

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Section: Seismic Metamaterialsmentioning

confidence: 99%

Metafoundation as a New Approach for Seismic Isolation of Buildings

Fiore¹,

Magisano²,

Finocchio³

et al. 2021

Proceedings of the 8th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering (COM

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show abstract

“…Some scholars have studied the vibration problem of finite EM beams and plates by means of the analytical or numerical method, and found abnormal natural and forced vibration properties of these structures, such as the works of Baz et al [5] , Pai et al [6] , and Sugino et al [7] . Moreover, Shen et al [8] investigated analytically the natural vibration behaviors of an equivalent rod which was the continuum equivalence of a finite mass-in-mass chain and illustrated preliminarily the applicability of this equivalent analysis idea. Similarly, our team also proposed a solving process for the EM beam [9] where the EMT and vibration theory of the beam were adopted.…”

Section: Introductionmentioning

confidence: 99%

Natural vibration of elastic metamaterial beam under arbitrary elastic boundary conditions

Shu

2023

J. Phys.: Conf. Ser.

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Elastic metamaterial (EM) is a kind of new composite material/structure that provides a new feasible way of vibration control in many scenarios. Although some analytical means for solving the vibration behavior of EM components with simple shapes and classic boundary conditions (BCs) have been presented, the analyses of those with complex shapes or BCs that are common in reality remain to be studied further. In this paper, the natural vibration problem of a typical EM beam under arbitrary elastic boundary conditions (EBC) is investigated by using the effective medium theory (EMT) and the Rayleigh-Ritz method. The inherent correlations between the EM beam and corresponding modified matrix beam together with the modified static equivalent beam are disclosed for their modal behaviors. The extraordinary natural vibration properties of the EM beam under arbitrary EBC are revealed and some common features are concluded. This work may provide a useful reference for further investigations of many other similar EM structures.

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“…Examples of discrepancies include formation of resonances inside the band gap, and undeveloped band gaps in terms of attenuation strength and/or width [22]. Hence, understanding the initiation and evolution of the dynamic properties (such as band gaps) of finite PCs is non-trivial and has recently warranted a different approach [23][24][25].…”

Section: Introductionmentioning

confidence: 99%

Dispersion and topological characteristics of permutative polyatomic phononic crystals

2019

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This work presents a comprehensive mathematical treatment of phononic crystals (PCs) which comprise a finite lattice of repeated polyatomic unit cells. Wave dispersion in polyatomic lattices is susceptible to changes in the local arrangement of the monatoms (subcells) constituting the individual unit cell. We derive and interpret conditions leading to identical and contrasting band structures as well as the possibility of distinct eigenmodes as a result of cyclic and non-cyclic cellular permutations. Different modes associated with cyclic permutations yield topological invariance, which is assessed via the winding number of the complex eigenmode. Wave topology variations in the polyatomic PCs are quantified and conditions required to support edge modes in such lattices are established. Next, a transfer function analysis of finite polyatomic PCs is used to explain the formation of multiple Bragg band gaps as well as the emergence of truncation resonances within them. Anomalies arising from the truncation of the infinite lattice are further exploited to design mirror symmetrical edge modes in an extended lattice. We conclude with a generalized explanation of the band gap evolution mechanism based on the Bode plot analysis.

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Analysis of Dynamic Behavior of the Finite Elastic Metamaterial-Based Structure With Frequency-Dependent Properties

Cited by 15 publications

References 20 publications

Metafoundation as a New Approach for Seismic Isolation of Buildings

Metafoundation as a New Approach for Seismic Isolation of Buildings

Natural vibration of elastic metamaterial beam under arbitrary elastic boundary conditions

Dispersion and topological characteristics of permutative polyatomic phononic crystals

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