{"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":"135 ","pages":"Article 104239"},"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":"1 1","pages":""},"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":"135 ","pages":"Article 104237"},"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}
Qian Zhang , Jianguo Cai , Xiaowei Deng , Zelun Qian , Jian Feng
{"title":"Kinematic Solutions and Bifurcation Analysis of Single Vertex Origami Pattern","authors":"Qian Zhang , Jianguo Cai , Xiaowei Deng , Zelun Qian , Jian Feng","doi":"10.1016/j.mechrescom.2023.104238","DOIUrl":"10.1016/j.mechrescom.2023.104238","url":null,"abstract":"<div><p><span>The bifurcation behavior of deployable structures has received significant attention from different fields. Apart from pin-jointed structures, origami, as a thriving inspiration for valuable and practical deployable structures, develops singular configurations along its kinematic paths. The kinematic behaviors of single vertex origami patterns are studied in this work. General four-crease patterns and symmetric six-crease patterns are thoroughly investigated based on the analytical solutions obtained by constraint equations. Moreover, the corresponding motion paths are described to discuss the bifurcation behavior. A comparative analysis of kinematic behaviors with the different actuating coordinates is performed. Three types of bifurcation are analyzed, concluding that three different motion paths cannot occur at the same time. The research findings of the present work can contribute to the development of novel deployable structures and </span>mechanical systems.</p></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":"135 ","pages":"Article 104238"},"PeriodicalIF":2.4,"publicationDate":"2023-12-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138821838","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":"Chaos identification and parameter optimization for vibration suppression in composite bistable structures","authors":"Feng Guo, Hui Fang","doi":"10.1016/j.mechrescom.2023.104236","DOIUrl":"10.1016/j.mechrescom.2023.104236","url":null,"abstract":"<div><p><span>An innovative composite bistable system<span> (CBs) coupled of prestressed linear and buckled beams with fixed ends has been designed to enhance the damping and suppress the dynamic response. The dynamic equations of the system are derived by applying Hamilton's principle. When the amplitude of the </span></span>harmonic excitation<span><span> exceeds the critical value, the buckling beam of the bistable system enters a state of inter- and in-well combined oscillations. Chaotic motion is present. This motion disperses the vibrational energy over a wide frequency band. The vibration in the high-frequency range significantly enhances the dissipation of the viscoelastic layer, leading to an effective suppression of the system's vibration. Approximate analytical solutions and numerical validation of the chaotic and non-chaotic boundaries of the steady state vibration of the bistable system are carried out based on the harmonic balance method (HBM) and the Melnikov method. The </span>Particle Swarm Optimisation (PSO) algorithm is used to optimise system parameters for specific operating conditions. This optimisation process provides guidance for the design and improvement of CBs systems.</span></p></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":"135 ","pages":"Article 104236"},"PeriodicalIF":2.4,"publicationDate":"2023-12-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138689827","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":"3D-printed composites with a programmable response to tension and torsion: A design guide","authors":"Rita Levit, Noy Cohen","doi":"10.1016/j.mechrescom.2023.104232","DOIUrl":"10.1016/j.mechrescom.2023.104232","url":null,"abstract":"<div><p>3D-printed composite structures employed in applications such as soft robotics, actuators, and artificial muscles typically experience different loading and deformation modes<span> throughout their life cycle. Tailoring the mechanical properties and responses to those modes in an independent manner can significantly enhance performance. In this work, we propose a helical fiber embedded cylindrical matrix as a platform to independently tune the behavior under two loading modes — uniaxial extension without twist and torsion at a constant length. Using finite elements (FE), we study the influence of the helical geometry, the volume fraction, and the moduli of the matrix and the fiber on the stiffness and the constitutive behavior. Our findings reveal that the responses to tension and torsion can be programmed by an appropriate choice of geometrical and material parameters. For example, we show that one can achieve composites with the same stiffness and behavior under uniaxial extension but a wide range of responses to torsion. As a design guide, the wide range of properties and potential strengths that can be obtained in these composites are mapped. To demonstrate the validity of this design, composites embedded with a helical fiber were 3D-printed and tested under tension and torsion. The experimentally observed trends agree with the FE simulations. The design and the insights from this work can be used to enhance and optimize the performance of structures in various applications. For example, this composite design can be used in lattice structures to tune the local response.</span></p></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":"135 ","pages":"Article 104232"},"PeriodicalIF":2.4,"publicationDate":"2023-12-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138689830","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}
Shuohui Yin , Xuefei Wang , Tinh Quoc Bui , Tiantang Yu , Zhihui Zou
{"title":"Analytical and isogeometric solutions of flexoelectric microbeams based on a layerwise beam theory","authors":"Shuohui Yin , Xuefei Wang , Tinh Quoc Bui , Tiantang Yu , Zhihui Zou","doi":"10.1016/j.mechrescom.2023.104235","DOIUrl":"10.1016/j.mechrescom.2023.104235","url":null,"abstract":"<div><p>The theory of layerwise beam, which considers both microstructure and flexoelectric effects, is used in the curvature-based flexoelectricity theory. The displacement field function of the layerwise beam model is given. The governing equations and boundary conditions are obtained using a variational formulation based on Hamilton's principle. Analytical solutions for static bending and free vibration of a simply supported layerwise beam are derived. Isogeometric analysis (IGA) with higher-order continuity considering the flexoelectric effect is presented to numerically solve the static bending and free vibration problems. The results obtained from the analytical and IGA approaches are compared through several examples in which the microstructure and flexoelectric effects on the mechanical responses of layerwise nanobeams are analyzed.</p></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":"135 ","pages":"Article 104235"},"PeriodicalIF":2.4,"publicationDate":"2023-12-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138993214","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":"Topology optimization of extruded beams modeled with the XFEM for maximizing their natural frequencies","authors":"Ameer Marzok, Haim Waisman","doi":"10.1016/j.mechrescom.2023.104234","DOIUrl":"https://doi.org/10.1016/j.mechrescom.2023.104234","url":null,"abstract":"<div><p><span><span>In this paper, an efficient topology optimization approach is developed for maximizing the fundamental natural frequency of extruded beams. Mass fraction and static compliance bounds are defined using inequality-type constraints in the optimization problem. An XFEM approach, previously proposed by the authors for analyzing beam elements, is extended herein to compute the natural frequencies of the beam. The method allows for 3D modeling of beams with a significant reduction in the number of degrees of freedom and therefore also yields efficient optimization procedure. This reduction is made possible by incorporating global enrichment functions in the </span>longitudinal direction, which enables a significant reduction in the number of elements in that direction without loss of accuracy. A </span>nonlinear optimization<span><span> problem is formulated using continuous density-based design variables that represent the material distribution in the beam’s cross-section. The optimization problem is then solved using a gradient-based approach with analytical sensitivities. The well-known Solid Isotropic Material with Penalization (SIMP) method is used to acquire discrete solutions. We study the optimal design of short and long beams. It is shown that for short beams, localized vibration modes appear within the cross-section, leading to a significant distortion </span>deformation mode<span> of the cross-section. The optimized design of the long beam shows global deformation modes with an increase of 15% in the fundamental frequency compared with a non-optimized design consisting of a hollow rectangular cross-section with the same mass.</span></span></p></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":"135 ","pages":"Article 104234"},"PeriodicalIF":2.4,"publicationDate":"2023-12-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138570169","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}
Mahsa Vazirzadeh , Jafar Rouzegar , Mohammad Hossein Heydari
{"title":"A refined fractional viscoelastic model for vibration analysis of moderately-thick plates","authors":"Mahsa Vazirzadeh , Jafar Rouzegar , Mohammad Hossein Heydari","doi":"10.1016/j.mechrescom.2023.104224","DOIUrl":"10.1016/j.mechrescom.2023.104224","url":null,"abstract":"<div><p>In this study, a Kelvin–Voigt fractional viscoelastic model is developed based on the two-variable refined plate theory (TV-RPT) to investigate the dynamic behavior of rectangular viscoelastic plates under support movement. The TV-RPT is a novel, simple, and efficient plate theory that provides accurate results for both thin and thick plates. The steady-state condition is governed by assuming the lower limit of the integral in the Riemann-Liouville fractional derivative<span> to be negative infinity. After deriving the governing equation, an analytical solution based on the Navier method is employed for fully simply-supported viscoelastic plates. The proposed approach is validated by comparing the natural frequencies of viscoelastic and elastic plates with existing results in the literature. Additionally, the results obtained from TV-RPT and the classical plate theory<span> (CPT) are compared. It is observed that both theories provide similar results for thin plates. However, for thicker plates, the amplitude and frequency of vibrations for TV-RPT are smaller and larger than those for CPT, respectively. The study also investigates the effects of fractional derivative order and damping coefficient on the frequency and amplitude of vibration.</span></span></p></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":"135 ","pages":"Article 104224"},"PeriodicalIF":2.4,"publicationDate":"2023-12-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138607808","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":"V. Eremeyev, Isaac Elishakoff","doi":"10.1016/j.mechrescom.2023.104239","DOIUrl":"https://doi.org/10.1016/j.mechrescom.2023.104239","url":null,"abstract":"","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":"53 12","pages":""},"PeriodicalIF":2.4,"publicationDate":"2023-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139015989","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}