title: Design of Hierarchical Structures for Synchronized Deformations.
abstract: In this paper we propose a general method for creating a new type of hierarchical structures at any level in both 2D and 3D. A simple rule based on a rotate-and-mirror procedure is introduced to achieve multi-level hierarchies. These new hierarchical structures have remarkably few degrees of freedom compared to existing designs by other methods. More importantly, these structures exhibit synchronized motions during opening or closure, resulting in uniform and easily-controllable deformations. Furthermore, a simple analytical formula is found which can be used to avoid collision of units of the structure during the closing process. The novel design concept is verified by mathematical analyses, computational simulations and physical experiments.
authors.affiliation: Centre for Innovative Structures and Materials, School of Engineering, RMIT University, Melbourne, Victoria 3001, Australia.
authors.forename: Hamed
authors.initials: H
authors.lastname: Seifi
authors.affiliation: Centre for Innovative Structures and Materials, School of Engineering, RMIT University, Melbourne, Victoria 3001, Australia.
authors.forename: Anooshe Rezaee
authors.initials: AR
authors.lastname: Javan
authors.affiliation: Centre for Innovative Structures and Materials, School of Engineering, RMIT University, Melbourne, Victoria 3001, Australia.
authors.forename: Arash
authors.initials: A
authors.lastname: Ghaedizadeh
authors.affiliation: Centre for Innovative Structures and Materials, School of Engineering, RMIT University, Melbourne, Victoria 3001, Australia.
authors.forename: Jianhu
authors.initials: J
authors.lastname: Shen
authors.affiliation: Centre for Innovative Structures and Materials, School of Engineering, RMIT University, Melbourne, Victoria 3001, Australia.
authors.forename: Shanqing
authors.initials: S
authors.lastname: Xu
authors.affiliation: Centre for Innovative Structures and Materials, School of Engineering, RMIT University, Melbourne, Victoria 3001, Australia.|XIE Archi-Structure Design (Shanghai) Co., Ltd., Shanghai 200437, China.
authors.forename: Yi Min
authors.initials: YM
authors.lastname: Xie