Limitations in the design of deployable structures with straight scissors using identical elements

[摘要] After the recent publications on the design of deployable structures with straight scissors, it has been shown that the possibilities in the application of this type of structure are enormous: organic geometries, bistability control, etc. However, one of the aspects that have still not been studied is the particular case of using identical elements. On the one hand, the satisfaction of this geometric condition implies advan-tages in the structural behaviour and in the manufacturing and assembly process, but, on the other hand, this geometric constraint also limits design possibilities as will be demonstrated in this paper. Consequently, this research will develop a mathematical process to demonstrate that only non-bistable planes, non-bistable cylinders with a circle base and non-bistable spheres can be designed as deployable if straight scissors and identical elements are used. (c) 2021 Elsevier Ltd. All rights reserved.

[发布日期] 2021-11-01

[关键词] Geometry;Deployable structure;Scissor;Mechanism;Folding;Kinematics;Identical element;Identical length;Identical cross section