{"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":null,"pages":null},"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}
{"title":"Erratum to \"Multiscale hydrodynamics in line contacts\" [Mechanics Research Communications, Vol. 111 (2021) 103658]","authors":"Yongbin Zhang","doi":"10.1016/j.mechrescom.2024.104244","DOIUrl":"10.1016/j.mechrescom.2024.104244","url":null,"abstract":"","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":null,"pages":null},"PeriodicalIF":2.4,"publicationDate":"2024-01-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139469618","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":"Equilibrium of Λ-fractional liquid crystals","authors":"K.A. Lazopoulos , A.K. Lazopoulos","doi":"10.1016/j.mechrescom.2024.104243","DOIUrl":"10.1016/j.mechrescom.2024.104243","url":null,"abstract":"<div><p>Stability of the Λ-fractional equilibrium states of nematic liquid crystals is discussed. Applying bifurcation theory in the Λ-fractional space, branching analysis of the liquid crystals is performed and their constant initial direction ceases to exist at a critical value of the external (electromagnetic) field. Post-critical analysis is performed, defining the variable orientation of the crystals. The analysis is transferred into the initial space, defining the true variable orientation of the liquid crystal field.</p></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":null,"pages":null},"PeriodicalIF":2.4,"publicationDate":"2024-01-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139104325","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":"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":null,"pages":null},"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}
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":null,"pages":null},"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}
{"title":"Rate dependent but time independent plasticity formulation with application to sand","authors":"Yannis F. Dafalias , Majid T. Manzari","doi":"10.1016/j.mechrescom.2023.104242","DOIUrl":"10.1016/j.mechrescom.2023.104242","url":null,"abstract":"<div><p>A novel rate dependent but time independent plasticity constitutive framework is proposed by rendering the flow rule and the internal variables evolution equations, appropriate functions of the strain rate, while maintaining a rate independent yield surface. This new framework is applied to a full-fledged rate independent and Critical State Theory compatible constitutive model for sands, transforming it into a rate dependent to address the cases where rate dependence is the main interest in comparison with creep and relaxation of secondary importance and manifestation. A qualitative comparison is made with available rate dependent data for sands.</p></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":null,"pages":null},"PeriodicalIF":2.4,"publicationDate":"2024-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139067789","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 anisotropic finite strain elastoplastic model considering different plastic spin effects on the intermediate configuration","authors":"ChunYu Meng","doi":"10.1016/j.mechrescom.2023.104241","DOIUrl":"10.1016/j.mechrescom.2023.104241","url":null,"abstract":"<div><p><span>Large deformation<span> anisotropic<span> elastoplastic models have important application background and research value in engineering and materials fields. In this paper, a macroscopic phenomenological model of elastoplastic anisotropic deformation considering plastic spin is proposed. The model is based on the multiplication decomposition of </span></span></span>deformation gradient<span><span>. The free energy function is expressed as the isotropic function of the strain and the structural tensor on the </span>intermediate configuration<span>, which is a push-forward of initial configuration<span><span> by using plastic deformation gradient. Advantageously, the non-equilibrium free energy function remains invariant under the superimposed rigid </span>body rotation on the intermediate configuration, which is due to the non-uniqueness of the multiplicative decomposition of deformation gradient. However, the rate of superimposed rigid body rotation has effects on the model. The effects are discussed by considering three different spin assumptions. Numerical simulations show that the plastic spin has influence on the calculation results. Therefore, the plastic spin assumption should be carefully selected in the practical application of elastoplastic anisotropic model.</span></span></span></p></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":null,"pages":null},"PeriodicalIF":2.4,"publicationDate":"2024-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139053536","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":"On rotary inertia of microstuctured beams and variations thereof","authors":"Victor A. Eremeyev , Isaac Elishakoff","doi":"10.1016/j.mechrescom.2023.104239","DOIUrl":"10.1016/j.mechrescom.2023.104239","url":null,"abstract":"<div><p>We discuss the classic rotary inertia notion and extend it for microstructured beams introducing new microinertia parameters as an additional dynamic response to microstructure changes. Slender structures made of beam- or platelet-lattice metamaterials may exhibit not only large translations and rotations but also general deformations of inner structure. Here we considered a few examples of beam-like structures and derive their inertia properties which include effective mass density, rotary inertia and microinertia. Extended dynamic characteristics related to enhanced kinematics may be crucial for description of origami-like structures or other beam-lattice metamaterials.</p></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":null,"pages":null},"PeriodicalIF":2.4,"publicationDate":"2023-12-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0093641323001982/pdfft?md5=68d2ea43c07b13b7f1c197e50da03743&pid=1-s2.0-S0093641323001982-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139020357","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":"Buckling and folding of a ductile thin film on a rigid substrate","authors":"Jérôme Colin","doi":"10.1016/j.mechrescom.2023.104237","DOIUrl":"https://doi.org/10.1016/j.mechrescom.2023.104237","url":null,"abstract":"<p>The buckling of a thin film deposited on an infinitely rigid substrate and delaminated over a finite length is studied in the framework of the Föppl-von Kàrmàn theory of thin plates. Assuming the two edges of the ductile film can fold, an energy-based analysis of the different morphologies of the film has been carried out. Depending on the delamination length, the film can either be unfolded, partially folded at one edge or symmetrically folded at its two edges.</p>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":null,"pages":null},"PeriodicalIF":2.4,"publicationDate":"2023-12-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139020338","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":"Buckling and folding of a ductile thin film on a rigid substrate","authors":"Jérôme Colin","doi":"10.1016/j.mechrescom.2023.104237","DOIUrl":"10.1016/j.mechrescom.2023.104237","url":null,"abstract":"<div><p>The buckling of a thin film deposited on an infinitely rigid substrate and delaminated over a finite length is studied in the framework of the Föppl-von Kàrmàn theory of thin plates. Assuming the two edges of the ductile film can fold, an energy-based analysis of the different morphologies of the film has been carried out. Depending on the delamination length, the film can either be unfolded, partially folded at one edge or symmetrically folded at its two edges.</p></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":null,"pages":null},"PeriodicalIF":2.4,"publicationDate":"2023-12-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139013569","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}