张拉整体式伸展臂结构设计与刚度分析  

Structural design and stiffness analysis of deployable tensegrity mast

作　　者：张静[1,2] 郭凯 郭宏伟 刘荣强[4] 寇子明[3] ZHANG Jing;GUO Kai;GUO Hongwei;LIU Rongqiang;KOU Ziming(School of Mechanical Engineering,Yanshan University,Qinhuangdao 066004,China;Hebei Innovation Center for Equipment Light Weight Design and Manufacturing,Qinhuangdao 066004,China;School of Mechanical and Transportation Engineering,Taiyuan University of Technology,Taiyuan 030024,China;School of Mechatronics Engineering,Harbin Institute of Technology,Harbin 150006,China)

机构地区：[1]燕山大学机械工程学院,秦皇岛066004 [2]河北省轻质结构装备设计与制备工艺技术创新中心,秦皇岛066004 [3]太原理工大学机械与运载工程学院,太原030024 [4]哈尔滨工业大学机电工程学院,哈尔滨150006

出　　处：《航空学报》2023年第24期98-111,共14页Acta Aeronautica et Astronautica Sinica

基　　金：国家自然科学基金(51835002);国家重点研发计划(2018YFB1307900);山西省研究生教育创新项目(2022Y212)。

摘　　要：为了满足航天工程对空间伸展臂的需求,利用张拉整体结构轻质、刚度可调、稳定性好以及易于折展的特性设计了2种空间伸展臂。首先基于基结构法与混合整数线性规划法对张拉整体式伸展臂结构单元拓扑找形,得到多种单元构型。随后依据改进型麦克斯韦尔准则,利用结构平衡矩阵奇异值分解法完成各单元构型的稳定性判定和刚度比较,优选得到2种单元构型,并结合模块化设计思想,分别轴向拓扑得到2种张拉整体式伸展臂。最后分别建立张拉整体式伸展臂的有限元模型,分析探讨了索构件预应力水平、约束方式以及构件横截面积等因素对伸展臂弯曲刚度的影响以及不同情形下2种伸展臂的刚度大小关系。该研究结果提供了张拉整体式空间伸展臂的选取方案,并对提高伸展臂承载能力提供了一定的理论支持。To meet the needs of aerospace engineering for space deployable mast,two types of space deployable masts were designed by taking advantage of the characteristics of tensegrity structure:light weight,adjustable stiff⁃ness,good stability and easy folding.Firstly,based on the ground structure method and mixed integer linear program⁃ming method,the topology form-finding of the deployable tensegrity mast structure element was performed to obtain various element configurations.Then,using the modified Maxwell's criterion and singular value decomposition method of structural equilibrium matrix,the stability assessment and stiffness comparison of each element configuration were completed,from which two element configurations were preferred.Combining these two element configurations with the modular design idea,two types of deployable tensegrity masts were obtained separately through axial topology.Finally,the finite element model of the deployable tensegrity mast was established,and the influence of prestress level,constraint mode and cross-sectional area of the cable members on the bending stiffness of the deployable mast was analyzed and discussed,as well as the relationship between the stiffness of the two types of deployable masts un⁃der different circumstances.The research results provide a selection scheme for the deployable tensegrity mast and offer some theoretical support for enhancing the bearing capacity of the deployable mast.

关 键 词：张拉整体 伸展臂 基结构 拓扑找形 稳定性 刚度 

分 类 号：V414.1[航空宇航科学与技术—航空宇航推进理论与工程]