双层可展剪刀结构的设计与建模
Two-Layer Deployable Objects Modeling Based on Scissor Structures
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摘要: 利用剪刀结构生成的可展物体能够起到节省空间的效果,在医疗、建筑、航空等领域有广泛的应用.为了使2层多边形线框结构能够折叠至一个平面并进行一体化打印,提出一种生成可展的2层多边形剪刀结构的方法.对于给定的2层多边形线框,通过对其进行旋转,平移和放缩变换,同时满足连接2层多边形的线段长度在变形过程中保持不变并避免碰撞,使其能够通过变形尽量压缩至一个平面;然后根据变换之后的线框结构生成相应的剪刀结构,并设计关节与连杆,将2层剪刀结构连接起来;最后建模得到一个完整的3D几何模型,进行一体化3D打印,无需后期组装.实验结果表明,该方法生成的免组装可展模型可在较短时间内打印完成,并实现预期变形,效果较好.Abstract: Deployable objects are extensively used in biological science,architecture,aerospace and other fields,thanks to the space saving properties.This paper proposes a method to generate deployable scissor structures for two given polygonal layers.Taking two polygons as the input,we intend to fold the two layers of polygons to the same plane as much as possible by rotating,translating and scaling each layer.During the contracting and deploying process,we ensure that the segments connecting the two layers of scissor structures follow rigid transformation.Finally,we design the joint and link structures to connect the scissor structures of different layers and generate the model that can be 3D printed in a whole piece without assembly afterwards.