Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences最新文献_第10页

Overall constitutive properties of stratified lattices with alternating chirality. 具有交替手性的分层晶格的总体构成特性。

IF 4.3 3区综合性期刊

Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences Pub Date : 2024-09-23 Epub Date: 2024-08-12 DOI: 10.1098/rsta.2023.0355

Andrea Bacigalupo, Paolo Badino, Vito Diana, Luigi Gambarotta

{"title":"Overall constitutive properties of stratified lattices with alternating chirality.","authors":"Andrea Bacigalupo, Paolo Badino, Vito Diana, Luigi Gambarotta","doi":"10.1098/rsta.2023.0355","DOIUrl":"https://doi.org/10.1098/rsta.2023.0355","url":null,"abstract":"The present research focuses on a continuum description of stratified metamaterials achieved through the superposition of layers with alternating chirality. Each layer is constructed as a periodic assembly of centre-symmetric periodic cells, formed by a recurring arrangement of rigid circular discs connected by elastic ligaments. The layers are interconnected through elastic pins passing through the centres of aligned discs, allowing for either restrained or free relative rotation. A micropolar continuum model is used to describe each individual layer. The overall response of the metamaterials to in-plane forces is derived using a multi-field non-local model, expressed in terms of the average and difference of displacement and rotational fields. The overall micropolar and standard (Cauchy) constitutive tensors have been determined in closed form. The validity of the equivalent generalized micropolar model has been confirmed through comparison with discrete Lagrangian solutions of representative examples. In addition, a detailed analysis of a pseudo-indentation test has been carried out. This article is part of the theme issue 'Current developments in elastic and acoustic metamaterials science (Part 2)'.","PeriodicalId":19879,"journal":{"name":"Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences","volume":"382 2279","pages":"20230355"},"PeriodicalIF":4.3,"publicationDate":"2024-09-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141917312","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"综合性期刊","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Water-tank metabarrier for seismic Rayleigh wave attenuation. 用于地震瑞利波衰减的水箱元屏障。

IF 4.3 3区综合性期刊

Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences Pub Date : 2024-09-23 Epub Date: 2024-08-12 DOI: 10.1098/rsta.2023.0363

Andrea Francesco Russillo, Felice Arena, Giuseppe Failla

{"title":"Water-tank metabarrier for seismic Rayleigh wave attenuation.","authors":"Andrea Francesco Russillo, Felice Arena, Giuseppe Failla","doi":"10.1098/rsta.2023.0363","DOIUrl":"https://doi.org/10.1098/rsta.2023.0363","url":null,"abstract":"An innovative concept of metabarrier is presented for seismic Rayleigh wave attenuation, which consists of a periodic array of cylindrical water tanks acting as resonant units above the soil surface. A pertinent theoretical framework is developed and implemented in COMSOL Multiphysics. The framework treats the dynamics of the water tank by a well-established three-dimensional linear, pressure-based model for fluid-structure interaction under earthquake excitation, accounting for the flexibility of the tank wall; furthermore, the soil is idealized as a homogeneous and isotropic medium. Floquet-Bloch dispersion analysis of the unit cell demonstrates the presence of relevant band gaps in the low-frequency range below 20 Hz and in the higher frequency range as well. The dispersion analysis is validated by comparison with the frequency-domain analysis of a soil domain with a finite array of water tanks. The band gaps are of interest to attenuate seismic Rayleigh waves and, more generally, Rayleigh waves caused by other ground vibration sources such as road or railway traffic. The water-tank resonant units are readily tunable by varying the water level, which allows changing opening frequencies/widths of the wave attenuation zones. This is a remarkable advantage over alternative seismic metamaterials that, in general, are not designed to be tunable.This article is part of the theme issue 'Current developments in elastic and acoustic metamaterials science (Part 2)'.","PeriodicalId":19879,"journal":{"name":"Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences","volume":"382 2279","pages":"20230363"},"PeriodicalIF":4.3,"publicationDate":"2024-09-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141917315","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"综合性期刊","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Investigating and exploiting the impact of variability in resonator parameters on the vibration attenuation in locally resonant metamaterials. 研究和利用谐振器参数变化对局部谐振超材料振动衰减的影响。

IF 4.3 3区综合性期刊

Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences Pub Date : 2024-09-23 Epub Date: 2024-08-12 DOI: 10.1098/rsta.2023.0364

L Van Belle, E Deckers, A Cicirello

{"title":"Investigating and exploiting the impact of variability in resonator parameters on the vibration attenuation in locally resonant metamaterials.","authors":"L Van Belle, E Deckers, A Cicirello","doi":"10.1098/rsta.2023.0364","DOIUrl":"https://doi.org/10.1098/rsta.2023.0364","url":null,"abstract":"Locally resonant metamaterials (LRMs) have recently emerged in the search for lightweight noise and vibration solutions. These materials have the ability to create stop bands, which arise from the sub-wavelength addition of identical resonators to a host structure and result in strong vibration attenuation. However, their manufacturing inevitably introduces variability such that the system as-manufactured often deviates significantly from the original as-designed. This can reduce attenuation performance, but may also broaden the attenuation band. This work focuses on the impact of variability within tolerance ranges in resonator properties on the vibration attenuation in metamaterial beams. Following a qualitative pre-study, two non-intrusive uncertainty propagation approaches are applied to find the upper and lower bounds of three performance metrics, by evaluating deterministic metamaterial models with uncertain parameters defined as interval variables. A global search approach is used and compared with a machine learning (ML)-based uncertainty propagation approach which significantly reduces the required number of simulations. Variability in resonator stiffnesses and masses is found to have the highest impact. Variability in the resonator positions only has a comparable impact for less deep sub-wavelength designs. The broadening potential of varying resonator properties is exploited in broadband optimization and the robustness of the optimized metamaterial is assessed.This article is part of the theme issue 'Current developments in elastic and acoustic metamaterials science (Part 2)'.","PeriodicalId":19879,"journal":{"name":"Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences","volume":"382 2279","pages":"20230364"},"PeriodicalIF":4.3,"publicationDate":"2024-09-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141917309","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"综合性期刊","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Selective dynamic band gap tuning in metamaterials using graded photoresponsive resonator arrays. 利用分级光致响应谐振器阵列在超材料中进行选择性动态带隙调谐

IF 4.3 3区综合性期刊

Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences Pub Date : 2024-09-23 Epub Date: 2024-08-12 DOI: 10.1098/rsta.2024.0150

V F Dal Poggetto, D Urban, F Nistri, P H Beoletto, E Descrovi, M Miniaci, N M Pugno, F Bosia, A S Gliozzi

{"title":"Selective dynamic band gap tuning in metamaterials using graded photoresponsive resonator arrays.","authors":"V F Dal Poggetto, D Urban, F Nistri, P H Beoletto, E Descrovi, M Miniaci, N M Pugno, F Bosia, A S Gliozzi","doi":"10.1098/rsta.2024.0150","DOIUrl":"https://doi.org/10.1098/rsta.2024.0150","url":null,"abstract":"The introduction of metamaterials has provided new possibilities to manipulate the propagation of waves in different fields of physics, ranging from electromagnetism to acoustics. However, despite the variety of configurations proposed so far, most solutions lack dynamic tunability, i.e. their functionality cannot be altered post-fabrication. Our work overcomes this limitation by employing a photo-responsive polymer to fabricate a simple metamaterial structure and enable tuning of its elastic properties using visible light. The structure of the metamaterial consists of graded resonators in the form of an array of pillars, each giving rise to different resonances and transmission band gaps. Selective laser illumination can then tune the resonances and their frequencies individually or collectively, thus yielding many degrees of freedom in the tunability of the filtered or transmitted wave frequencies, similar to playing a keyboard, where illuminating each pillar corresponds to playing a different note. This concept can be used to realize low-power active devices for elastic wave control, including beam splitters, switches and filters.This article is part of the theme issue 'Current developments in elastic and acoustic metamaterials science (Part 2)'.","PeriodicalId":19879,"journal":{"name":"Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences","volume":"382 2279","pages":"20240150"},"PeriodicalIF":4.3,"publicationDate":"2024-09-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141917313","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"综合性期刊","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

An efficient multiscale method for subwavelength transient analysis of acoustic metamaterials. 用于声学超材料亚波长瞬态分析的高效多尺度方法。

IF 4.3 3区综合性期刊

Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences Pub Date : 2024-09-23 Epub Date: 2024-08-12 DOI: 10.1098/rsta.2023.0368

R Liupekevicius, J A W van Dommelen, M G D Geers, V G Kouznetsova

引用次数: 0

The perpendicular gyroscope: modal analysis of plate, beam and gyroscope multistructures. 垂直陀螺仪：板、梁和陀螺仪多重结构的模态分析。

IF 4.3 3区综合性期刊

Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences Pub Date : 2024-09-23 Epub Date: 2024-08-12 DOI: 10.1098/rsta.2023.0358

K H Madine, D J Colquitt

引用次数: 0

Local-to-non-local transition laws for stiffness-tuneable monoatomic chains preserving springs mass. 保持弹簧质量的刚度可调单原子链的局部到非局部过渡定律

IF 4.3 3区综合性期刊

Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences Pub Date : 2024-09-23 Epub Date: 2024-08-12 DOI: 10.1098/rsta.2024.0037

Flavia Guarracino, Massimiliano Fraldi, Nicola M Pugno

{"title":"Local-to-non-local transition laws for stiffness-tuneable monoatomic chains preserving springs mass.","authors":"Flavia Guarracino, Massimiliano Fraldi, Nicola M Pugno","doi":"10.1098/rsta.2024.0037","DOIUrl":"https://doi.org/10.1098/rsta.2024.0037","url":null,"abstract":"Recently, non-local configurations have been proposed by adding beyond nearest neighbour couplings among elements in lattices to obtain roton-like dispersion relations and phase and group velocities with opposite signs. Even though the introduction of non-local elastic links in metamaterials has unlocked unprecedented possibilities, literature models and prototypes seem neither to provide criteria to compare local and non-local lattices nor to discuss any related rules governing the transition between the two configurations. A physically reasonable principle that monoatomic one-dimensional chains must obey to pass from single- to multi-connected systems is here proposed through a mass conservation law for elastic springs thereby introducing a suitable real dimensionless parameter [Formula: see text] to tune stiffness distribution. Therefore, the dispersion relations as a function of [Formula: see text] and of the degree of non-locality [Formula: see text] are derived analytically, demonstrating that the proposed principle can be rather interpreted as a general mechanical consistency condition to preserve proper dynamics, involving the spring-to-bead mass ratio. Finally, after discussing qualitative results and deriving some useful inequalities, numerical simulations and two-dimensional FFTs are performed for some paradigmatic examples to highlight key dynamics features exhibited by chains with finite length as the parameters [Formula: see text] and [Formula: see text] vary.This article is part of the theme issue 'Current developments in elastic and acoustic metamaterials science (Part 2)'.","PeriodicalId":19879,"journal":{"name":"Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences","volume":"382 2279","pages":"20240037"},"PeriodicalIF":4.3,"publicationDate":"2024-09-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141917310","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"综合性期刊","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

On the role of geometric phase in the dynamics of elastic waveguides. 论几何相位在弹性波导动力学中的作用。

IF 4.3 3区综合性期刊

Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences Pub Date : 2024-09-23 Epub Date: 2024-08-12 DOI: 10.1098/rsta.2023.0357

Mohit Kumar, Fabio Semperlotti

{"title":"On the role of geometric phase in the dynamics of elastic waveguides.","authors":"Mohit Kumar, Fabio Semperlotti","doi":"10.1098/rsta.2023.0357","DOIUrl":"https://doi.org/10.1098/rsta.2023.0357","url":null,"abstract":"The geometric phase provides important mathematical insights to understand the fundamental nature and evolution of the dynamic response in a wide spectrum of systems ranging from quantum to classical mechanics. While the concept of geometric phase, which is an additional phase factor occurring in dynamical systems, holds the same meaning across different fields of application, its use and interpretation can acquire important nuances specific to the system of interest. In recent years, the development of quantum topological materials and its extension to classical mechanical systems have renewed the interest in the concept of geometric phase. This review revisits the concept of geometric phase and discusses, by means of either established or original results, its critical role in the design and dynamic behaviour of elastic waveguides. Concepts of differential geometry and topology are put forward to provide a theoretical understanding of the geometric phase and its connection to the physical properties of the system. Then, the concept of geometric phase is applied to different types of elastic waveguides to explain how either topologically trivial or non-trivial behaviour can emerge based on the geometric features of the waveguide. This article is part of the theme issue 'Current developments in elastic and acoustic metamaterials science (Part 2)'.","PeriodicalId":19879,"journal":{"name":"Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences","volume":"382 2279","pages":"20230357"},"PeriodicalIF":4.3,"publicationDate":"2024-09-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141917311","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"综合性期刊","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Wave propagation in tailored metastructures consisting of elastic beams and rigid bodies. 波在由弹性梁和刚体组成的定制转移结构中的传播。

IF 4.3 3区综合性期刊

Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences Pub Date : 2024-09-23 Epub Date: 2024-08-12 DOI: 10.1098/rsta.2023.0362

N Rosić, D Karličić, M Cajić, S Adhikari, M Lazarević

引用次数: 0

Wave transmission in quasi-periodic lattices. 准周期晶格中的波传输。

IF 4.3 3区综合性期刊

Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences Pub Date : 2024-09-23 Epub Date: 2024-08-12 DOI: 10.1098/rsta.2023.0351

Marco Moscatelli, Claudia Comi, Jean-Jacques Marigo

引用次数: 0