多闭环厚板折展蜂窝机构的几何设计与性能分析

doi:10.3969/j.issn.1004-132X.2024.07.003

摘要/Abstract

摘要： 基于厚板折纸理论设计出一种单闭环空间折展机构，并用螺旋理论对机构的自由度进行了分析。引入Myard类型约束和Sarrus类型约束，提出将机构自由度降低为1的2种方法，对应得到M型和S型折展蜂窝单元。将2种折展蜂窝单元的运动特征与平面镶嵌原理相结合，构造出M型和S型折展蜂窝机构。研究了设计参数对机构折展率的影响规律，并以提高折展率为目标对机构的结构进行了优化。研究结果表明，M型折展蜂窝机构完全展开后可形成单侧平整的表面；S型折展蜂窝机构的折展率更大。

关键词: 折展机构, 蜂窝结构, Myard机构, Sarrus机构, 折展率

Abstract: A new type of space mechanisms with single-closed-loop was proposed according to thick-panel origami teory, and the mobility was analyzed by using screw theory. The degree of freedom of mechanism was reduced to 1 by the introduction of Myard constraint and Sarrus constraint, and the corresponding deployable units were obtained with the names of Myard deployable honeycomb unit and Sarrus deployable honeycomb unit. M-type honeycomb mechanism and S-type honeycomb mechanism were proposed based on kinematic analysis and planar mosaic array of deployable honeycomb units. The influence regularity of various factors on folding ratio was analyzed, and the deployable honeycomb units were optimized with the rising of folding ratio index. The results show that M-type honeycomb mechanism may achieve flat surface, and S-type honeycomb mechanism may achieve higher folding ratio index.

Key words: deployable mechanism, honeycomb structure, Myard mechanism, Sarrus mechanism, folding ratio

中图分类号:

TH112

畅博彦1, 2, 关鑫1, 金国光1, 2, 梁栋1, 2. 多闭环厚板折展蜂窝机构的几何设计与性能分析[J]. 中国机械工程, 2024, 35(07): 1156-1167.

CHANG Boyan1, 2, GUAN Xin1, JIN Guoguang1, 2, LIANG Dong1, 2. Geometric Design and Performance Analysis of Multi-closed-loop Deployable Honeycomb Mechanisms with Thick Panels[J]. China Mechanical Engineering, 2024, 35(07): 1156-1167.

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链接本文: http://www.cmemo.org.cn/CN/10.3969/j.issn.1004-132X.2024.07.003

http://www.cmemo.org.cn/CN/Y2024/V35/I07/1156

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