Luca Placidi , Julia de Castro Motta , Fernando Fraternali
{"title":"Bandgap structure of tensegrity mass–spring chains equipped with internal resonators","authors":"Luca Placidi , Julia de Castro Motta , Fernando Fraternali","doi":"10.1016/j.mechrescom.2024.104273","DOIUrl":"https://doi.org/10.1016/j.mechrescom.2024.104273","url":null,"abstract":"<div><p>This work studies the dispersion relation of a Maxwell type mass–spring chain formed by lumped masses and the parallel arrangement of two different types of tensegrity prisms. Use is made of the Bloch–Floquet theory of discrete systems in association with a linearized model of the response of the tensegrity units under compression loading. Such a modeling is aimed at studying the propagation of compression waves under small perturbations of the initial equilibrium state of the system. For a given value of the cable’s prestress, the tensegrity systems connecting the lumped masses react as elastic springs, which exhibit axial deformations accompanied by relative twisting rotations of the terminal bases. The twisting motion of the chain affects the expression of the kinetic energy, and is accounted for by introducing a suitable definition of equivalent masses. The bandgap structure of the analyzed system is analytically determined and numerical results are obtained for a chain formed by physical models tensegrity <span><math><mrow><mi>θ</mi><mo>=</mo><mn>1</mn></mrow></math></span> prisms aligned in parallel with minimal tensegrity prisms. The given results highlight the highly tunable frequency bandgap properties of tensegrity mass–spring chains exhibiting internal resonance capabilities.</p></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":null,"pages":null},"PeriodicalIF":2.4,"publicationDate":"2024-04-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140555657","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":"Analysis of a tensegrity camber morphing airfoil","authors":"Heping Liu, Jian Song, Ani Luo","doi":"10.1016/j.mechrescom.2024.104272","DOIUrl":"https://doi.org/10.1016/j.mechrescom.2024.104272","url":null,"abstract":"<div><p>This study presents a novel tensegrity camber morphing airfoil (TenCMA), which has the ability of the large and smooth camber morphing. The configuration of TenCMA is determined by the error bound method. The optimal configuration of TenCMA is obtained by comparing the aerodynamic characteristics of TenCMA and traditional airfoil. Based on the beam-tensegrity dynamics, the shape control law of TenCMA is presented to control the camber morphing, whereas the force in strings are the control variables. The optimal actuator selection method is derived by the positive spanning set to select the minimum number of actuators and give the optimal control energy of TenCMA. The results of shape control show that TenCMA can smoothly change the trailing edge with the optimal selected actuators and minimum control energy. Finally, we compared the aerodynamic characteristics of TenCMA and traditional airfoil with the same equivalent deflection angle. Results show that TenCMA can significantly improve the aerodynamic performance of the morphing airfoil.</p></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":null,"pages":null},"PeriodicalIF":2.4,"publicationDate":"2024-04-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140559023","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}
Michele Ciarletta , Brian Straughan , Vincenzo Tibullo
{"title":"Discontinuity waves in temperature and diffusion models","authors":"Michele Ciarletta , Brian Straughan , Vincenzo Tibullo","doi":"10.1016/j.mechrescom.2024.104274","DOIUrl":"https://doi.org/10.1016/j.mechrescom.2024.104274","url":null,"abstract":"<div><p>We analyse shock wave behaviour in a hyperbolic diffusion system with a general forcing term which is qualitatively not dissimilar to a logistic growth term. The amplitude behaviour is interesting and depends critically on a parameter in the forcing term. We also develop a fully nonlinear acceleration wave analysis for a hyperbolic theory of diffusion coupled to temperature evolution. We consider a rigid body and we show that for three-dimensional waves there is a fast wave and a slow wave. The amplitude equation is derived exactly for a one-dimensional (plane) wave and the amplitude is found for a wave moving into a region of constant temperature and solute concentration. This analysis is generalized to allow for forcing terms of Selkov–Schnakenberg, or Al Ghoul-Eu cubic reaction type. We briefly consider a nonlinear acceleration wave in a heat conduction theory with two solutes present, resulting in a model with equations for temperature and each of two solute concentrations. Here it is shown that three waves may propagate.</p></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":null,"pages":null},"PeriodicalIF":2.4,"publicationDate":"2024-04-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140539122","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}
Meijia Wang , Yafeng Wang , Ruhe Mei , Zhaojun Liu , Xian Xu
{"title":"Motion behavior of a 30-strut locomotive tensegrity robot","authors":"Meijia Wang , Yafeng Wang , Ruhe Mei , Zhaojun Liu , Xian Xu","doi":"10.1016/j.mechrescom.2024.104270","DOIUrl":"https://doi.org/10.1016/j.mechrescom.2024.104270","url":null,"abstract":"<div><p>Tensegrity structure is a prestressed self-equilibrated system consisting of compressed struts and tensioned tendons. The shape and position of tensegrity can be actively controlled by changing the lengths of members, making it attractive as a platform for adaptive bionic and locomotive robots. In this paper, the regular 30-strut tensegrity is used as the skeleton of a locomotive robot. The robot is flexible and highly redundant, making it adaptive to unconstrained environments and ideal for various co-robotic scenarios such as space exploration, emergency rescue, and so on. Compared with the 6-strut tensegrity robot, the 30-strut tensegrity robot with more controllable degrees of freedom possesses more various motion behaviors as well as gait primitives. To demonstrate the effectiveness of the motion behaviors of the 30-strut locomotive robot, we analyze the diverse collection of behaviors generated by actively changing the lengths of struts. It is found that rolling motion is robust and easy to be actuated, and multi-gait and individual-gait of rolling motion are observed. However, its high dimensionality and strong dynamic nature complicate the motion control. A physical prototype is manufactured to verify the found motion behaviors. The results show the potential uses of 30-strut tensegrity as multifunctional locomotive robots.</p></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":null,"pages":null},"PeriodicalIF":2.4,"publicationDate":"2024-04-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140535468","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}
Victor A.S.M. Paiva , Paulo R.G. Kurka , Jaime H. Izuka
{"title":"Analytical definitions of connectivity, incidence and node matrices for t-struts tensegrity prisms","authors":"Victor A.S.M. Paiva , Paulo R.G. Kurka , Jaime H. Izuka","doi":"10.1016/j.mechrescom.2024.104271","DOIUrl":"https://doi.org/10.1016/j.mechrescom.2024.104271","url":null,"abstract":"<div><p>Regular tensegrity prism modules are widely used by researchers. Numerous research articles combine them to form grids and towers under various assembly strategies. Most of them define connectivity and node matrices that satisfy their structures as a whole, but a general definition for the basic modules has not been formally reported. This paper formalizes sets of definitions for the connectivity, incidence, and node matrices that are valid for any tensegrity prism formed by four struts or more. The definitions are based on geometry and provide simple and general formulations by applying floor and ceiling operators. Both clockwise and counterclockwise rotated modules are covered.</p></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":null,"pages":null},"PeriodicalIF":2.4,"publicationDate":"2024-03-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140350274","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":"Active elastic metamaterials with equidistant solely resonant bandgaps","authors":"Hasan B. Al Ba’ba’a","doi":"10.1016/j.mechrescom.2024.104269","DOIUrl":"10.1016/j.mechrescom.2024.104269","url":null,"abstract":"<div><p>Elastic metamaterials are man-made structures with properties that transcend naturally occurring materials. One predominant feature of elastic metamaterials is locally resonant bandgaps, i.e., frequency ranges at which wave propagation is blocked. Locally resonant bandgaps appear at relatively low frequency and arise from the existence of periodically placed mechanical local resonators. Typically, elastic metamaterials exhibit both locally resonant and Bragg-scattering bandgaps, which can generally be different in width and frequency ranges. This paper proposes two designs of active elastic metamaterials that only exhibit locally resonant bandgaps, which are infinite in number, evenly spaced in the frequency spectrum, and identical in width. The mathematical model is established using the transfer matrix method and synthesis of locally resonant bandgaps is achieved via an active elastic support with carefully designed frequency-dependent stiffness. A single unit cell of each proposed metamaterials is thoroughly studied, and its dispersion relation is derived analytically, along with the periodically repeating bandgap limits and widths. Following the dispersion analysis and bandgap parametric studies, finite arrays of the proposed metamaterials are considered, and their frequency response is calculated to verify the analytical predictions from dispersion analyses.</p></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":null,"pages":null},"PeriodicalIF":2.4,"publicationDate":"2024-03-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140182402","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":"Evidence of nonlinearity tailoring in static and dynamic responses of honeycomb and auxetic hourglass lattice metastructures","authors":"Vivek Gupta , Sondipon Adhikari , Bishakh Bhattacharya","doi":"10.1016/j.mechrescom.2024.104261","DOIUrl":"https://doi.org/10.1016/j.mechrescom.2024.104261","url":null,"abstract":"<div><p>Nature’s morphology and optimal energetic solutions remain the key motivation for designing cellular-based lattice structures. Understanding the nonlinear dynamical behaviors that arise from different lattice topologies of such structures in the metastructure framework is crucial for their successful implementation in various novel designs and technologies related to vibration and shape control. This paper presents a study of the static and dynamic response of auxetic and honeycomb lattices with hourglass or dome-shaped metastructures. The potential tailoring of nonlinearity of such responses through various design parameters that play a vital role in shaping the dynamic properties of such structures is discussed here. The impact of cell design parameters on the resulting macroscopic behavior is assessed using both numerical simulations and experimental studies. The transition from softening to hardening nonlinear dynamic responses is reported with cell topologies ranging from the regular honeycomb to auxetic topologies that are widely used as fundamental cells of cellular materials design. The experimental study is based on the time responses measured to verify the numerical predictions. The experimental system consists of different 3D printed hourglass samples based on the auxetic and honeycomb lattices on which dynamic testing using a laser Doppler vibrometer is performed. The design strategies proposed in this paper can be integrated into a wide range of lattice-based materials for noise and vibration control applications and biomedical devices.</p></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":null,"pages":null},"PeriodicalIF":2.4,"publicationDate":"2024-03-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140145450","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}
Nan Gao, Tianxue Ma, Weijian Zhou, Yue-Sheng Wang, Weiqiu Chen
{"title":"A brief review of solitary waves in nonlinear metamaterials","authors":"Nan Gao, Tianxue Ma, Weijian Zhou, Yue-Sheng Wang, Weiqiu Chen","doi":"10.1016/j.mechrescom.2024.104260","DOIUrl":"https://doi.org/10.1016/j.mechrescom.2024.104260","url":null,"abstract":"The coupling between material nonlinearity and dispersion/dissipation may lead to the emergence of solitary waves, which are disturbances that can propagate far away with constant velocity and fixed profile. In this paper, we present a brief review of solitary waves, concentrating on their propagation in nonlinear metamaterials with different aspects. In particular, we revisit the propagation characteristics of solitary waves in granular crystals, flexible metamaterials, multistable metamaterials, and high-dimensional metamaterials. We end the review paper with our outlook, emphasizing several potential directions that wait to be further explored and deeply understood.","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":null,"pages":null},"PeriodicalIF":2.4,"publicationDate":"2024-03-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140044045","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":"An implicit computational approach in strain-gradient brittle fracture analysis","authors":"Salvatore Sessa , Emilio Barchiesi , Luca Placidi","doi":"10.1016/j.mechrescom.2024.104259","DOIUrl":"10.1016/j.mechrescom.2024.104259","url":null,"abstract":"<div><p>Within the context of quasi-brittle fracture mechanics analyzed by finite element approaches, the present research addresses an implicit solution scheme applied to a strain-gradient continuum damage model. The implicit scheme is based onto an iterative procedure which minimizes for each loading step the increment of both the elastic energy and the damage field between two subsequent trial solutions. The performances of the proposed scheme are compared with those of a previously developed explicit scheme. Besides a better accuracy in the static response computation, it is demonstrated that the proposed approach provides more accurate fracture propagation patterns.</p></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":null,"pages":null},"PeriodicalIF":2.4,"publicationDate":"2024-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S009364132400017X/pdfft?md5=b173a4d0b941cf5dce448e83cb3f30a6&pid=1-s2.0-S009364132400017X-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139951293","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Form-finding for tensegrity structures based on the equilibrium equation","authors":"Ziying Cao, Ani Luo, Yaming Feng, Heping Liu","doi":"10.1016/j.mechrescom.2024.104256","DOIUrl":"10.1016/j.mechrescom.2024.104256","url":null,"abstract":"<div><p>Finding form is a critical step in designing tensegrity structures. On the condition that the partial node coordinates, topology, and a bar/cable attribute (the force density of bar is -1 and the force density of cable is 1.) are known, a form-finding method, which is used to find the remaining node coordinates and the force density relation between elements, is proposed in this paper. Firstly, the equilibrium conditions of the tensegrity system are analyzed, and the equilibrium equation is established. Secondly, the variables that must be solved are set and substituted into the equilibrium equation, and the target equation with the variables is built. The Levenberg-Marquardt method with a damping parameter updating strategy is introduced to solve the least squares problem by transforming the equilibrium equation problem into the least squares problem. The form-finding process is performed by solving the least squares formula. Three examples demonstrate the efficiency and accuracy of searching for self-equilibrium configurations.</p></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":null,"pages":null},"PeriodicalIF":2.4,"publicationDate":"2024-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139924357","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}