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":"137 ","pages":"Article 104270"},"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":"137 ","pages":"Article 104271"},"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":"137 ","pages":"Article 104269"},"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":"137 ","pages":"Article 104261"},"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 , Yize Wang , Weijian Zhou , Yue-Sheng Wang , Weiqiu Chen
{"title":"A brief review of solitary waves in nonlinear metamaterials","authors":"Nan Gao , Tianxue Ma , Yize Wang , Weijian Zhou , Yue-Sheng Wang , Weiqiu Chen","doi":"10.1016/j.mechrescom.2024.104260","DOIUrl":"10.1016/j.mechrescom.2024.104260","url":null,"abstract":"<div><p>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.</p></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":"137 ","pages":"Article 104260"},"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":"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":"136 ","pages":"Article 104256"},"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}
{"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":"136 ","pages":"Article 104259"},"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":"Preface: Special issue in origami engineering and physics","authors":"Edwin A. Peraza Hernandez, Glaucio H. Paulino","doi":"10.1016/j.mechrescom.2024.104258","DOIUrl":"10.1016/j.mechrescom.2024.104258","url":null,"abstract":"","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":"136 ","pages":"Article 104258"},"PeriodicalIF":2.4,"publicationDate":"2024-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0093641324000168/pdfft?md5=9f57c13b01f83e09ec80777115bcca05&pid=1-s2.0-S0093641324000168-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139951294","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}
Yongyong Cao , Yuqiao Zheng , Xutao Mei , Fugang Dong , Rong Xu , Chenglong Shi , Pengcheng Zhang , Kongyuan Wei , Yabing Li
{"title":"Modelling and analysis of a novel E-shape piezoelectric vibration energy harvester with dynamic magnifier","authors":"Yongyong Cao , Yuqiao Zheng , Xutao Mei , Fugang Dong , Rong Xu , Chenglong Shi , Pengcheng Zhang , Kongyuan Wei , Yabing Li","doi":"10.1016/j.mechrescom.2024.104257","DOIUrl":"10.1016/j.mechrescom.2024.104257","url":null,"abstract":"<div><p>An important issue in conventional harvesters is that the output performance is limited to small strains and narrow bandwidth. To address these issues, a novel E-shape harvester with dynamic magnifier is devised to magnify the base vibration and enhance electric energy in low-frequency complicated environment. In this study, a novel electromechanical coupling dynamic model is established by considering the characteristics of the E-shape structure. Meanwhile, the analytical expressions of the eigenfunction and resonance frequency of the developed model are presented. The effect of system parameters on the power output are investigated and discussed. Results indicate that the electric energy can be significantly enhanced and the vibration amplitude can be magnified using properly design structural parameters. The proposed harvester with dynamic magnifier is a simple and effective approach for enhancing energy harvesting near a target operating frequency.</p></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":"137 ","pages":"Article 104257"},"PeriodicalIF":2.4,"publicationDate":"2024-02-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139924356","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":"Variational study of a Maxwell–Rayleigh-type finite length model for the preliminary design of a tensegrity chain with a tunable band gap","authors":"Luca Placidi , Fabio Di Girolamo , Roberto Fedele","doi":"10.1016/j.mechrescom.2024.104255","DOIUrl":"https://doi.org/10.1016/j.mechrescom.2024.104255","url":null,"abstract":"<div><p>In this study, a Maxwell–Rayleigh-type model is investigated, describing a unidimensional lattice with a finite length, where the unit cell includes hosting and resonant masses mutually connected by elastic springs. The configuration selected is inspired by the specific engineering design to be discussed: however, the theoretical approach pursued is rather general and can be easily generalized to different scenarios. By the heuristic homogenization based on a Piola’s Ansatz, an equivalent continuum is specified: through a variational approach, resting on the minimization of the Hamilton’s action functional, a dispersion relation is deduced, revealing the existence of a band gap. Such a continuous interval of frequencies, inside which the propagation of waves is inhibited, can be tuned controlling the features of the original system. Thereafter, exploiting the same equations, the stationary elasto-dynamic response for a chain with a finite length is also deduced, corresponding to standing waves. On the basis of such results, the preliminary design of a linear chain with a finite number of cells is carried out. By the present strategy proper boundary conditions are deduced to be prescribed at the ends of the 1D lattice sample, and not over the unit cell (as it occurs in Bloch–Floquet approach with periodicity conditions). To realize the mutual elastic connections between unequal masses fitting the problem constraints, tensegrity prisms are selected, including compressed bars and tensioned cables, for which it is possible to govern the tangent axial stiffness through the cable pre-tensioning. We analyze the scenario in which the band gap coincides with the interval <span><math><mrow><mn>1</mn><mo>−</mo><mn>10</mn><mspace></mspace><mi>Hz</mi></mrow></math></span>, indicating an appropriate geometry and suitable engineering materials for the tensegrity elements.</p></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":"136 ","pages":"Article 104255"},"PeriodicalIF":2.4,"publicationDate":"2024-02-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139743301","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}