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Mechanics of tubular helical assemblies:ensemble response to axial compression and extension

作     者:Jacopo Quaglierini Alessandro Lucantonio Antonio DeSimone Jacopo Quaglierini;Alessandro Lucantonio;Antonio DeSimone

作者机构:Department of Excellence in Robotics and AIThe BioRobotics InstituteScuola Superiore Sant'Anna56127 PisaItaly SISSA-Scuola Intemazionale Superiore di Studi Avanzati34136 TriesteItaly 

出 版 物:《Acta Mechanica Sinica》 (力学学报(英文版))

年 卷 期:2021年第37卷第2期

页      面:173-186页

核心收录:

学科分类:08[工学] 0802[工学-机械工程] 0701[理学-数学] 0801[工学-力学(可授工学、理学学位)] 0702[理学-物理学] 080102[工学-固体力学] 

基  金:Open access funding provided by Scuola Superiore Sant’Anna within the CRUI-CARE Agreement 

主  题:Computational mechanics Helical assemblies Kirchhoff rod Sadowsky ribbon Ensemble response 

摘      要:Nature and technology often adopt structures that can be described as tubular helical ***,the role and mechanisms of these structures remain *** this paper,we study the mechanical response under compression and extension of a tubular assembly composed of 8 helical Kirchholf rods,arranged in pairs with opposite chirality and connected by pin joints,both analytically and *** first focus on compression and find that,whereas a single helical rod would buckle,the rods of the assembly deform coherently as stable helical shapes wound around a common ***,we investigate the response of the assembly under different boundary conditions,highlighting the emergence of a central region where rods remain circular ***,we study the effects of different hypotheses on the elastic properties of rods,i.e.,stress-free rods when straight versus when circular helices,Kirchhoff’s rod model versus Sadowsky’s ribbon *** up,our findings highlight the key role of mutual interactions in generating a stable ensemble response that preserves the helical shape of the individual rods,as well as some interesting features,and they shed some light on the reasons why helical shapes in tubular assemblies are so common and persistent in nature and technology.

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