Mechanics Research Communications最新文献_第9页

Variational study of a Maxwell–Rayleigh-type finite length model for the preliminary design of a tensegrity chain with a tunable band gap Maxwell-Rayleigh 型有限长度模型的变量研究，用于带隙可调的张力合成链的初步设计

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Mechanics Research Communications Pub Date : 2024-02-05 DOI: 10.1016/j.mechrescom.2024.104255

Luca Placidi , Fabio Di Girolamo , Roberto Fedele

{"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}

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Analytical solution for the free transverse vibration of an elastically connected annular plate system with discontinuities 带间断点的弹性连接环形板系统自由横向振动的解析解

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Mechanics Research Communications Pub Date : 2024-01-30 DOI: 10.1016/j.mechrescom.2024.104254

Junling Fan , Yupeng Wang , Yongbin Ma

{"title":"Analytical solution for the free transverse vibration of an elastically connected annular plate system with discontinuities","authors":"Junling Fan , Yupeng Wang , Yongbin Ma","doi":"10.1016/j.mechrescom.2024.104254","DOIUrl":"10.1016/j.mechrescom.2024.104254","url":null,"abstract":"<div><p>Due to the performance requirements, structural discontinuities are inevitable in engineering structures. Free vibration of an elastically connected annular plate system with discontinuities has not yet been reported in the literature. In this study, an analytical method is developed for the free vibration of an annular plate system with discontinuities along its radius. The annular plates are connected continuously using an elastic layer. The coupled vibration equations of the annular plate system were decoupled into a series of uncoupled general “vibration” equations which are then transferred into a symplectic dual system. The general “vibration” state can then be analytically described in terms of waves utilizing the elastic wave theory. Using the analytical wave modes and satisfying the compatibility and boundary conditions at the discontinuities, a frequency equation can be obtained analytically. In numerical examples, the free vibrations of systems consist of two and three annular plates were investigated. The accuracy of the proposed method is verified by comparison with literature and finite element method (FEM).</p></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":"136 ","pages":"Article 104254"},"PeriodicalIF":2.4,"publicationDate":"2024-01-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139657536","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}

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Rounded corner thicken strut re-entrant auxetic honeycomb: Analytical and numerical modeling 圆角加厚支柱重入式辅助蜂窝：分析和数值建模

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Mechanics Research Communications Pub Date : 2024-01-23 DOI: 10.1016/j.mechrescom.2024.104246

Kaustav Moni Bora , Shailendra Kumar Varshney , Cheruvu Siva Kumar

{"title":"Rounded corner thicken strut re-entrant auxetic honeycomb: Analytical and numerical modeling","authors":"Kaustav Moni Bora , Shailendra Kumar Varshney , Cheruvu Siva Kumar","doi":"10.1016/j.mechrescom.2024.104246","DOIUrl":"10.1016/j.mechrescom.2024.104246","url":null,"abstract":"<div><p><span><span><span>An analytical model is formulated for 2-D periodic negative honeycomb thicken strut re-entrant lattice structures and a modified rounded corner negative honeycomb structure<span> that shows negative Poisson’s ratios (NPR). Analytical modeling is done using Castigliano’s second theorem, where each beam is modeled using Timoshenko beam theory, considering bending, stretching, and transverse shearing. </span></span>Elastic modulus and Poisson’s ratio have been formulated for both structures in the form of non-dimensional geometrical characteristics, such as length ratios, angles of re-entrant arms, </span>shear correction factor, and the material’s Young’s modulus and Poisson’s ratios. Numerical simulations conducted in ABAQUS-CAE </span>explicit solver<span> validate the analytical model. The effect of the non-dimensional parameters on the qualities of the developed structure is demonstrated. It is observed that the structures with a low curvature ratio have a high fluctuation of Poisson’s ratio and Elastic constant when plotted against the other parameters. The slenderness ratio has little impact on Poisson’s ratio but significantly influences elastic modulus. It is shown that various needs can be satisfied by customizing the Poisson’s ratios and elastic constant of both forms of lattice construction over an extensive range by carefully choosing the geometrical parameters and material.</span></p></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":"136 ","pages":"Article 104246"},"PeriodicalIF":2.4,"publicationDate":"2024-01-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139562073","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}

引用次数: 0

Constitutive modeling of electro-magneto-rheological fluids before yielding 屈服前电磁流变流体的结构建模

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Mechanics Research Communications Pub Date : 2024-01-23 DOI: 10.1016/j.mechrescom.2024.104253

Subrat Kumar Behera, Somnath Sarangi

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Nonlinear dynamics and chaos of a waterbomb origami unit-cell considering different symmetry conditions 考虑不同对称条件的水弹折纸单元格的非线性动力学与混沌

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Mechanics Research Communications Pub Date : 2024-01-22 DOI: 10.1016/j.mechrescom.2023.104233

Guilherme V. Rodrigues, Marcelo A. Savi

{"title":"Nonlinear dynamics and chaos of a waterbomb origami unit-cell considering different symmetry conditions","authors":"Guilherme V. Rodrigues, Marcelo A. Savi","doi":"10.1016/j.mechrescom.2023.104233","DOIUrl":"https://doi.org/10.1016/j.mechrescom.2023.104233","url":null,"abstract":"<div><p><span>Origami has been inspirating the development of novel engineering systems and structures. The traditional waterbomb folding pattern is one of the most widely employed pattern and its description from the unit-cell is related to multiple degrees of freedom (DoF) systems. This work investigates the nonlinear dynamics and chaos of a waterbomb origami through its unit-cell, considering different symmetry hypotheses that simplify its kinematics, resulting in 1-DoF and 2-DoF dynamical systems. The investigation starts with a </span>kinematic analysis<span><span> of the waterbomb folding pattern and afterward, a reduced-order dynamical model with lumped masses on vertices and torsional springs on creases is built. Symmetry assumptions are discussed, identifying the differences induced by either geometrical nonlinearities or external stimuli. Numerical simulations are carried out showing details of the system nonlinear dynamics, showing intricate situations such as chaos. The comparison among different symmetry conditions provides a qualitative picture of the </span>system dynamics, showing significative differences and highlighting the importance of the origami mechanical behavior comprehension, its modeling and nonlinear dynamics for a proper design of origami-inspired systems.</span></p></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":"136 ","pages":"Article 104233"},"PeriodicalIF":2.4,"publicationDate":"2024-01-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139549194","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}

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Erratum to "Multiscale hydrodynamics in line contacts" [Mechanics Research Communications, Vol. 111 (2021) 103658] 勘误：线接触中的多尺度流体力学，《力学研究通讯

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Mechanics Research Communications Pub Date : 2024-01-15 DOI: 10.1016/j.mechrescom.2024.104244

Yongbin Zhang

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Equilibrium of Λ-fractional liquid crystals Λ-分数液晶的平衡

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Mechanics Research Communications Pub Date : 2024-01-04 DOI: 10.1016/j.mechrescom.2024.104243

K.A. Lazopoulos , A.K. Lazopoulos

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Frequency dependent exact trial functions in Galerkin boundary method for free vibration analysis of thin plate 用于薄板自由振动分析的 Galerkin 边界法中与频率相关的精确试验函数

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Mechanics Research Communications Pub Date : 2024-01-01 DOI: 10.1016/j.mechrescom.2023.104240

Igor Orynyak, Yulia Bai, Hlib Yudin

{"title":"Frequency dependent exact trial functions in Galerkin boundary method for free vibration analysis of thin plate","authors":"Igor Orynyak, Yulia Bai, Hlib Yudin","doi":"10.1016/j.mechrescom.2023.104240","DOIUrl":"10.1016/j.mechrescom.2023.104240","url":null,"abstract":"<div><p>Method of frequency dependent exact trial functions for thin plate vibration based on fundamental solutions of Voigt is suggested. Contrary to other methods, where one of the functions is chosen as the scale and specific boundary condition dependent, it employs only the frequency dependent functions for both space coordinates. Thus they are scale independent, so the same functions can be used for different boundary conditions and plate dimensions. General rule for the choice of exact trial functions is formulated. The boundary conditions are satisfied according to the Galerkin boundary method, which actually minimizes the energy residuals with respect to each weight function (fundamental solution).</p><p>The verification of method is performed on examples of rectangular plate with various boundary conditions. Several arbitrarily chosen sets of trial functions were employed in calculation of the same tasks, and it is shown that accuracy of the method is almost independent from the choice of them. Even the small number of trial functions provides the very accurate results for natural frequencies.</p></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":"135 ","pages":"Article 104240"},"PeriodicalIF":2.4,"publicationDate":"2024-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0093641323001994/pdfft?md5=fe868207e7e4714bf1e8fb1acb2f9a1b&pid=1-s2.0-S0093641323001994-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139067971","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}

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Establishment of iterative modeling method for spherical tensegrity structure using rotational symmetry and regular polyhedron configuration 基于旋转对称和正多面体构型的球面张拉整体结构迭代建模方法的建立

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Mechanics Research Communications Pub Date : 2024-01-01 DOI: 10.1016/j.mechrescom.2023.104217

Erina Mori , Yuta Matsumoto , Nariyuki Kawabata , Keisuke Otsuka , Kanjuro Makihara

{"title":"Establishment of iterative modeling method for spherical tensegrity structure using rotational symmetry and regular polyhedron configuration","authors":"Erina Mori , Yuta Matsumoto , Nariyuki Kawabata , Keisuke Otsuka , Kanjuro Makihara","doi":"10.1016/j.mechrescom.2023.104217","DOIUrl":"10.1016/j.mechrescom.2023.104217","url":null,"abstract":"<div><p>Tensegrity structures are attractive light-weight structures. In particular, spherical tensegrity structures are expected to be applied in various fields. This article proposes a simple method for modeling spherical tensegrities. Firstly, the nodal coordinates of the spherical tensegrity are systematically determined based on rotational symmetry and regular polyhedral configuration. This approach enables the systematic acquisition of the nodal coordinates of spherical tensegrities of all sizes by introducing a three-dimensional rotation matrix and the dihedral angle of the regular polyhedron. Secondly, the prestress ratio is determined iteratively. For the stability analysis of the spherical tensegrity, nonlinear analysis with prestress is required. For the analysis considering the prestress, a tangent stiffness matrix is applied in this study. The simple determination method enables the modeling of spherical tensegrities. The natural frequencies and mode shapes of the spherical tensegrity are identified by frequency analysis. A vibration experiment is conducted as a verification experiment. The natural frequencies from the analysis are compared to the resonance frequencies from the experiment. This comparison confirms the validity of the frequency analysis results, based on the two proposed methods.</p></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":"135 ","pages":"Article 104217"},"PeriodicalIF":2.4,"publicationDate":"2024-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0093641323001763/pdfft?md5=75f79db6d00d0f9603eaebc6b067366e&pid=1-s2.0-S0093641323001763-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138530316","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}

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Rate dependent but time independent plasticity formulation with application to sand 与速率有关但与时间无关的塑性配方，适用于砂土

IF 2.4 4区工程技术

Mechanics Research Communications Pub Date : 2024-01-01 DOI: 10.1016/j.mechrescom.2023.104242

Yannis F. Dafalias , Majid T. Manzari

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