基于正四棱台Bricard单元的双环可展开天线机构构型设计

doi:10.3901/JME.2023.21.147

机械工程学报 ›› 2023, Vol. 59 ›› Issue (21): 147-156.doi: 10.3901/JME.2023.21.147

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基于正四棱台Bricard单元的双环可展开天线机构构型设计

姚鹏飞, 吕胜男, 张武翔, 丁希仑

北京航空航天大学机械工程及自动化学院北京 100191

收稿日期:2022-12-15 修回日期:2023-05-23 出版日期:2023-11-05 发布日期:2024-01-15
通讯作者: 吕胜男(通信作者)，女，1987年出生，博士，教授，博士研究生导师。主要研究方向为空间折展机构、折纸及其衍生机构设计及运动、结构性能分析，可重构模块化机构设计及分析。E-mail：shengnan_lyu@buaa.edu.cn
作者简介:姚鹏飞，男，1989年出生，博士研究生。主要研究方向为空间折展机构设计。E-mail：pengfei_yao@buaa.edu.cn
基金资助:
国家自然科学基金资助项目(52222501,U20A20281,52075016,52192632)。

Double-ring Deployable Antenna Mechanism Based on Square Frustum-shaped Bricard Units

YAO Pengfei, LÜ Shengnan, ZHANG Wuxiang, DING Xilun

School of Mechanical Engineering and Automation, Beihang University, Beijing 100191

Received:2022-12-15 Revised:2023-05-23 Online:2023-11-05 Published:2024-01-15

摘要/Abstract

摘要： 单环桁架式可展开天线的结构刚度随口径增大而降低的特点制约了其大型化，提出一种基于空间过约束正四棱台Bricard机构单元的双环可展开天线机构设计方法。首先，由等腰梯形面对称Bricard机构综合出展开构型与正四棱台几何体具有相同几何约束的正四棱台机构。而后，以始终存在一组正交对称面为约束条件推导出正四棱台Bricard机构的扭角约束关系，满足该约束的正四棱台机构自由度为1、可束状收拢。最后，由正四棱台机构构建出5 m口径的双环桁架式可展开天线机构。为双环桁架式可展开天线机构设计提供了过约束机构方案，提高了桁架的利用率，有助于面对称Bricard机构的广泛工程应用。

关键词: 双环桁架式天线, 可展开机构, 空间过约束机构, 面对称Bricard机构

Abstract: The stiffness of the single-ring truss deployable antenna decreases with the increasing diameter, which hinders the enlargement of the antenna. Based on spatial over-constrained square frustum-shaped Bricard units, a double-ring deployable antenna mechanism is proposed. First, a square frustum-shaped Bricard unit, whose deployed configuration has the same geometric constraints as the square frustum, is synthesized by the isosceles trapezoidal plane-symmetric Bricard linkage. Then, the constraint equation between twist angles in square frustum-shaped Bricard units is deduced on condition that there is always a set of orthogonal symmetry planes. The square frustum-shaped Bricard unit, which satisfy the constraint equation, have the characteristic of one degree of freedom, and bundle-folding. Finally, a double-ring truss deployable antenna mechanism with a diameter of 5 m is constructed of square frustum-shaped Bricard units. This research provides an over-constrained mechanism scheme for the double-ring truss deployable antenna mechanism, which improves the utilization rate of the truss and facilitates wide engineering applications of the plane-symmetric Bricard linkages.

Key words: double-ring truss antenna, deployable mechanism, spatial over-constrained linkage, plane-symmetric Bricard linkage

中图分类号:

TH112

姚鹏飞, 吕胜男, 张武翔, 丁希仑. 基于正四棱台Bricard单元的双环可展开天线机构构型设计[J]. 机械工程学报, 2023, 59(21): 147-156.

YAO Pengfei, LÜ Shengnan, ZHANG Wuxiang, DING Xilun. Double-ring Deployable Antenna Mechanism Based on Square Frustum-shaped Bricard Units[J]. Journal of Mechanical Engineering, 2023, 59(21): 147-156.

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基于正四棱台Bricard单元的双环可展开天线机构构型设计

Double-ring Deployable Antenna Mechanism Based on Square Frustum-shaped Bricard Units

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