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主管单位 中华人民共和国
工业和信息化部
主办单位 哈尔滨工业大学 主编 李隆球 国际刊号ISSN 0367-6234 国内刊号CN 23-1235/T

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引用本文:唐愉真,刘超,肖洪,郭宏伟,王治易,谢超,刘荣强.可展薄膜的Miura弹性折痕建模与分析[J].哈尔滨工业大学学报,2023,55(1):1.DOI:10.11918/202203107
TANG Yuzhen,LIU Chao,XIAO Hong,GUO Hongwei,WANG Zhiyi,XIE Chao,LIU Rongqiang.Modeling and analysis of Miura elastic creases for deployable membrane[J].Journal of Harbin Institute of Technology,2023,55(1):1.DOI:10.11918/202203107
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可展薄膜的Miura弹性折痕建模与分析
唐愉真1,2,刘超1,肖洪1,2,郭宏伟1,王治易2,谢超2,刘荣强1
(1.机器人技术与系统国家重点实验室(哈尔滨工业大学),哈尔滨 150001; 2.中国航天科技集团有限公司 空间结构与机构技术实验室,上海 201108)
摘要:
为满足空间任务中对可展薄膜机构的大折展比、高平整度等需求,提出基于Miura弹性折痕的空间薄膜可展机构,并进行建模分析及样机研制。 根据折痕分布规律和几何关系建立Miura-ori几何模型,研究薄膜的折痕参数对折展比和折痕总长的影响规律,并进行计算和折痕参数优化。在ABAQUS/Explicit中建立折痕倾角θ=90°及θ<90°的四折痕基本单元的数值仿真模型,分析薄膜关键折痕处的力学行为变化,初步证明二维弹性折痕的可行性;进一步研究经过Miura弹性折痕折叠后三角形薄膜的弹塑性,绘制折痕交点处应力随折叠过程的变化曲线,应力峰值均处于材料弹性范围内;研制空间可展开薄膜机构样机,进行了验证分析。结果表明:机构构型设计方案合理,优化后的折痕参数可以得到大折展比和小折痕总长的薄膜Miura折叠方案,展开后薄膜表面具有较高的平整度,证明了可展薄膜Miura弹性折痕的可行性和优越性。
关键词:  可展薄膜结构  Miura折纸  折痕参数优化  二维弹性折痕  样机研制
DOI:10.11918/202203107
分类号:V414.1
文献标识码:A
基金项目:国家自然科学基金(51835002);中国航天科技集团有限公司空间结构与机构技术实验室开放课题基金(YYHT-F805201904004)
Modeling and analysis of Miura elastic creases for deployable membrane
TANG Yuzhen1,2,LIU Chao1,XIAO Hong1,2,GUO Hongwei1,WANG Zhiyi2,XIE Chao2,LIU Rongqiang1
(1. State Key Laboratory of Robotics and System,Harbin Institute of Technology,Harbin 150001, China; 2.Space Structure and Mechanism Technology Laboratory of China Aerospace Science and Technology Group Co.Ltd,Shanghai 201108, China)
Abstract:
To meet the requirements of large deployment ratio and high precision for deployable membrane mechanism in space missions, a deployable membrane mechanism based on Miura elastic creases was proposed and subjected to model, analyze and develop prototype. According to the crease distribution law and geometric relations, Miura-ori geometric model was established to investigate the influence law of the crease parameters on the deployment ratio and creases total length, and to calculate and optimize the crease parameters. In ABAQUS/Explicit, the numerical simulation models of the four-creases basic unit with θ= 90° and θ<90° were established respectively to analyze the mechanical behavior of the key membrane creases, and the feasibility of two-dimensional elastic crease was preliminarily proved. The elastoplasticity of the triangular membrane of Miura-ori was further studied, and the change curve of stress with folding process at the intersection of creases was plotted and the peak stress of which was within the range of material elasticity. And the space deployable membrane mechanism prototype was developed to conduct validation and analysis. The results show that the mechanism configuration design scheme is reasonable and a membrane folding scheme based on Miura-ori with large deployment ratio and small creases total length could be obtained by optimizing the crease parameters, and the high surface flatness of the deployed membrane proves the feasibility and superiority of Miura elastic creases.
Key words:  deployable membrane structure  Miura-ori  crease parameters optimization  elastic creases  prototype development

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