{"title":"Bandgap widening and resonator mass reduction through wave locking","authors":"L. Iorio, J.M. De Ponti, A. Corigliano, R. Ardito","doi":"10.1016/j.mechrescom.2023.104200","DOIUrl":"https://doi.org/10.1016/j.mechrescom.2023.104200","url":null,"abstract":"<div><p>Elastic metamaterials made of locally resonant arrays have been developed as effective ways to create band gaps for elastic or acoustic travelling waves. They work by implementing stationary states in the structure that localise and partially reflect waves. A different, simpler, way of obtaining band gaps is using phononic crystals, where the generated band gaps come from the periodic reflection and phase cancellation of travelling waves. In this work a different metamaterial structure that generates band gaps by means of coupling two contra-propagating modes is reported. This metamaterial, as it will be shown numerically and experimentally, generates larger band gaps with lower added mass, providing benefits for lighter structures.</p></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":null,"pages":null},"PeriodicalIF":2.4,"publicationDate":"2023-10-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"92033253","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Zhixiong Li , Pan Liu , Baixi Chen , Tongtong Ye , Yuan-Fang Zhang , Nan Hu
{"title":"Influence of manufacturing factors on compressive behavior of soft architected composite with a 3D-printed cellular core","authors":"Zhixiong Li , Pan Liu , Baixi Chen , Tongtong Ye , Yuan-Fang Zhang , Nan Hu","doi":"10.1016/j.mechrescom.2023.104201","DOIUrl":"https://doi.org/10.1016/j.mechrescom.2023.104201","url":null,"abstract":"<div><p>Soft material is widely used for energy dissipation<span><span> in a diverse range of applications from shoe soles to bridge bearings. Recent advances in </span>additive manufacturing<span><span> enable more new classes of materials such as soft architected composites (SAC) with 3D-printed cores that are embedded into a soft matrix. SAC has demonstrated excellent load-carrying capacity, ductility, and energy absorption under compression compared to soft material alone, but the influence of key manufacturing factors remains unknown. In this work, we conducted experimental investigations on SAC specimens considering various manufacturing parameters, including the printing materials, volume fraction, filling pattern, and printing parameters. Notably, the SAC with the gyroid filling pattern demonstrates superior specific stiffness and </span>specific energy absorption. The effect of the printing parameters on the SAC was non-linear, and the optimal values were influenced by the core geometries. The SAC unit filled with gyroid pattern and manufactured using optimized printing parameters exhibited significant improvement in specific stiffness and specific energy absorption over those with the same mass of reinforcing phase. These results can guide the further design of similar architected composite by considering the appropriate selection of manufacturing parameters and geometric designs. With the improved mechanical properties, the concept of SAC can be further used in developing lightweight and high-performing energy absorption and dissipation components and devices.</span></span></p></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":null,"pages":null},"PeriodicalIF":2.4,"publicationDate":"2023-10-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49867516","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Jiangang Li , Yuning Du , Huihui Xu , Zhixiang Gao , Hua Wang
{"title":"Surface effects and symmetry lowering effect on the anisotropic bending and equilibrium of freestanding nanofilms","authors":"Jiangang Li , Yuning Du , Huihui Xu , Zhixiang Gao , Hua Wang","doi":"10.1016/j.mechrescom.2023.104199","DOIUrl":"https://doi.org/10.1016/j.mechrescom.2023.104199","url":null,"abstract":"<div><p>A self-consistent theory for describing self bending, self equilibrium and symmetry lowering of nanofilms was proposed in this paper. The lowered symmetry and corresponding additional elastic parameter were considered to describe the mechanical properties of nanofilms. A freestanding nanofilm may spontaneously roll into a nanotube<span> due to intrinsic surface stress imbalance. It is not necessarily isotropic for surface stress. The anisotropic surface stress is possible, Si nanofilm with (001) surface may behave (2 × 1) reconstruction, for example. The anisotropic surface stress induces anisotropic bending. And then, the isotropic Stoney formular should be modified to suit the anisotropic surface stress effect. A theory for anisotropic bending should be established. On the other hand, intrinsic surface stress balance induces uniform in-plane deformation of nanofilms. The theory in this paper was used to predict equilibrium strains of Cu, Ni, Ag, Au, Pd and Pt nanofilms, and was used to research Si nanofilm rolling behavior.</span></p></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":null,"pages":null},"PeriodicalIF":2.4,"publicationDate":"2023-10-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49871327","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
I.El Hantati , A. Adri , Y.El Khouddar , H. Fakhreddine , O. Outassafte , R. Benamar
{"title":"Large amplitude forced vibrations of multi-stepped beams carrying concentric masses","authors":"I.El Hantati , A. Adri , Y.El Khouddar , H. Fakhreddine , O. Outassafte , R. Benamar","doi":"10.1016/j.mechrescom.2023.104163","DOIUrl":"https://doi.org/10.1016/j.mechrescom.2023.104163","url":null,"abstract":"<div><p><span><span>The general purpose of the present study is to investigate the geometrically non-linear forced vibration of multi-stepped beams carrying masses. This study was carried out on the basis of Euler-Bernoulli beam theory and Von Karman's assumptions of geometric non-linearity. The linear problem is firstly solved, and then the discrete expressions of total strain and kinetic energies are derived. By applying </span>Hamilton's principle, the problem is reduced to a non-linear algebraic system solved by a multi-mode approach. The numerical results are discussed following </span>parametric studies, where the effect of varying section, inertia, length ratios and mass magnitude on the non-linear dynamic behaviour of the beam-mass system is illustrated.</p></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":null,"pages":null},"PeriodicalIF":2.4,"publicationDate":"2023-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49900869","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Centrifugal and gyroscopic effects on dynamic response of rotating cantilever beams under step loading","authors":"Hedi Hamdi , Adel Hamdi , Rachid Nasri","doi":"10.1016/j.mechrescom.2023.104185","DOIUrl":"10.1016/j.mechrescom.2023.104185","url":null,"abstract":"<div><p>In this paper, a simplex finite element model for beams (FEMB) with a complete formulation is presented to study the dynamics of rotating cantilever beams subjected to distributed external loads. In our approach, the finite element method (FEM) and Timoshenko's beam theory is used. We will, particularly, examine the centrifugal and gyroscopic effects on the linear vibration of a rotating cantilever beam in stationary regime. In this model, extension, bending, and torsion degrees of freedom (DOF) are combined using a parameterization of the 3D motion of the beam by Euler's three-angle sequence. That allows identifying all the terms of the gyroscopic coupling in a more compact equations system. To ensure convergence, a sufficient number of finite elements are required in this model. The considered beam in the numerical simulation is pre-twisted and linearly tapered with a rectangular section. Results show that the dynamic centrifugal effect decreases the natural frequencies of the beam. Furthermore, the gyroscopic coupling induces rapid extension and torsion beatings when the beam undergoes a step bending load. Without damping, these beatings can persist and cause material fatigue.</p></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":null,"pages":null},"PeriodicalIF":2.4,"publicationDate":"2023-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48503897","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A variegated effective elastic modulus in metabeams under periodically distributed loads","authors":"Eduard G. Karpov, Debajyoti Saha","doi":"10.1016/j.mechrescom.2023.104166","DOIUrl":"https://doi.org/10.1016/j.mechrescom.2023.104166","url":null,"abstract":"<div><p>A class of beam-like lattice structures, or metabeams under static, sinusoidally distributed transverse loads is discussed. Their neutral axis deflects either in-phase, out-of-phase or shows no deflection, depending on the beam design parameters, and also on the <span><em>spatial frequency</em></span> of the static load. These outcomes contrast the behavior of continuum beams, deflecting always in-phase with the load, and they are interpreted on the basis of a positive, negative and near-infinite <em>effective</em><span> Young's modulus of the structured beams in bending. They also represent a </span><em>collective effect</em><span> of the behavior of multiple elements in the lattice that cannot be realized from the performance of an isolated unit cell. A long-range periodic order and nonlocality of the lattice interaction is essential for this unusual behaviors, and those are particularly pronounced at higher wavenumbers, when the load wavelength becomes comparable with the range of direct interactions in the lattice. Theoretical discussion and predictions agree well with numerical experiments performed on the basis of commonly accepted models. Practical applications could be found in advanced reinforcing materials for building foundations, deformation mitigation for lightweight structures and bridges, and in smart mechanical systems able to differentiate external stimuli and to respond selectively.</span></p></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":null,"pages":null},"PeriodicalIF":2.4,"publicationDate":"2023-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49864709","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Rare rogue fluctuations could be generic to strongly nonlinear and non-integrable systems","authors":"Rahul Kashyap , Surajit Sen","doi":"10.1016/j.mechrescom.2023.104179","DOIUrl":"10.1016/j.mechrescom.2023.104179","url":null,"abstract":"<div><p>We explore the possible existence of sufficiently large energy or rogue fluctuations (RFs) at late times in the <em>strongly nonlinear regime</em> of the classic <span><math><mi>β</mi></math></span> Fermi–Pasta–Ulam–Tsingou (FPUT) <em>type</em> systems. Our studies build on a study of RFs in the non-dissipative granular chain system and suggest that <span><em>rare RFs could be generic to the time evolution of non-integrable strongly </em><em>nonlinear systems</em><em> at late enough times</em></span>. Given the nonlinearity and the nonintegrability, analytical studies are largely inaccessible. The studies have hence been carried out using extensive dynamical simulations. We comment on the role of initial conditions and the surprising influence of harmonic forces on these strongly nonlinear systems. The RFs under focus here are distinct from the well known Peregrine solitons used to describe rogue waves via the weakly nonlinear Schrödinger equation.</p></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":null,"pages":null},"PeriodicalIF":2.4,"publicationDate":"2023-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46715371","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Dunja Milić , Jian Deng , Vladimir Stojanović , Marko D. Petković
{"title":"Effects of Kerr-type viscoelastic coupling layer with different stiffnesses on stochastic stability of Rayleigh double beams","authors":"Dunja Milić , Jian Deng , Vladimir Stojanović , Marko D. Petković","doi":"10.1016/j.mechrescom.2023.104181","DOIUrl":"10.1016/j.mechrescom.2023.104181","url":null,"abstract":"<div><p>This paper discusses the stochastic stability of a double Rayleigh beam system connected by a Kerr-type three-parameter elastic layer with two different stiffnesses, under compressive axial loads<span><span><span>. The beams are modeled using the Rayleigh beam theory, and the axial forces consist of a constant component and a time-dependent stochastic function. The study investigates the almost-sure and moment stability of the double beam system subjected to stochastic compressive </span>axial loading<span>, utilizing the Lyapunov exponent and moment Lyapunov exponents. In the case of weak noise excitations, a singular perturbation method is employed to derive second-order expansions of the moment Lyapunov exponent and the Lyapunov exponent. Monte Carlo simulation is included to validate the obtained results. A numerical study is conducted for selected parameters, and the almost-sure and moment stability in the first and second perturbation are graphically presented. The results provide insights into the influences of different stiffnesses, damping, and the shear parameter of the Kerr-type layer on the stochastic stability of the coupled Rayleigh beam </span></span>mechanical system<span>, considering the effects of rotational inertia. It is quantitatively and qualitatively determined that reducing the stiffness of one part of the Kerr-type layer leads to a decrease in the stable region of stochastic stability, while reducing the shear parameter results in an increase in the stable region of stochastic stability. Furthermore, a quantitative relationship between different dampings of the Kerr-type viscoelastic layer is determined, where increasing either of the two damping parameters leads to an expansion of the stable region of stochastic stability. The inclusion of rotational inertia effects through the Rayleigh beam theory contributes to more accurate approximations of the obtained solutions.</span></span></p></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":null,"pages":null},"PeriodicalIF":2.4,"publicationDate":"2023-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41427373","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
D. Werner , C.R.K. Windows-Yule , Tz. Kokalova-Wheldon , J.P.K. Seville
{"title":"Influence of nozzle design on flow, mixing, and fluidisation in a bubbling bed fluidised by a single nozzle","authors":"D. Werner , C.R.K. Windows-Yule , Tz. Kokalova-Wheldon , J.P.K. Seville","doi":"10.1016/j.mechrescom.2023.104180","DOIUrl":"10.1016/j.mechrescom.2023.104180","url":null,"abstract":"<div><p>In this paper we apply, for the first time, positron emission particle tracking (PEPT) to a fluidised bed in which gas is injected through a nozzle-type distributor. The detailed, three-dimensional data obtained provide direct insight into how the angle of the orifices through which gas is injected affects the fluidisation, mixing, and flow patterns observed within the bed. Our results show that the fastest and most consistent recirculation of material – an indicator of good mixing – as well as the most complete fluidisation may be achieved by using a nozzle with horizontal- or near-horizontal outlets.</p></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":null,"pages":null},"PeriodicalIF":2.4,"publicationDate":"2023-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47860822","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Continuous softening up to the onset of failure: A hyperelastic modelling approach with intrinsic softening for isotropic incompressible soft solids","authors":"Afshin Anssari-Benam","doi":"10.1016/j.mechrescom.2023.104183","DOIUrl":"10.1016/j.mechrescom.2023.104183","url":null,"abstract":"<div><p>This paper seeks to put forward an alternative notion for modelling the <em>continuous</em> softening in the finite deformation of incompressible isotropic rubber-like materials, up to the onset of failure. Based on the proposition that ‘there is no fundamental reason as to why the basic constitutive parameters of the (hyper)elastic state of a material cannot determine the natural evolution of softening and failure in that material’, the concept of <em>hyperelasticity with intrinsic softening</em> is posited. In contrast to the currently available theories of continuum damage mechanics and energy limiters, which superpose external parameters onto the basic hyperelastic model, the alternative approach presented here postulates that if a hyperelastic strain energy function accommodates a <em>comprehensive</em> set of constitutive parameters and has an appropriate functional form, it will intrinsically capture the observed continuous softening in the stress–deformation curves of soft solids, up to the onset of failure. Examples of this notion are presented using a specific hyperelastic model previously proposed by the author, applied here to extant datasets of a wide variety of isotropic incompressible soft solids, ranging from soft tissues to protein gels and 3D printed biomaterials, that include the softening behaviour. The favourable modelling results obtained via this approach are demonstrated. It is conferred that these results portend a versatile modelling tool for application to the whole-range deformation of soft solids, up to the onset of failure, and make the case for devising a unified theory for modelling both continuous and discontinuous softening in the finite deformation of rubber-like materials.</p></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":null,"pages":null},"PeriodicalIF":2.4,"publicationDate":"2023-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43680004","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}