多根带状弹簧卷绕与松脱分析  

Analysis of winding and blossoming of multiple tape springs

作　　者：刘丰源 吴明儿[1] 项平[1] LIU Fengyuan;WU Ming’er;XIANG Ping(College of Civil Engineering,Tongji University,Shanghai 200092,China)

机构地区：[1]同济大学土木工程学院,上海200092

出　　处：《振动与冲击》2025年第3期1-8,共8页Journal of Vibration and Shock

摘　　要：当带状弹簧以卷绕伸展的形式应用于空间可展结构时,常出现松脱问题,因此提出了一种多根带状弹簧卷绕松脱模型:将松脱后的卷绕段分为外部阿基米德螺线状的膨胀区与内部半圆弧状的过渡区,建立应变能解析模型。根据最小势能原理求解了稳定松脱内径与稳定松脱形态,推导了临界中心体半径、稳定端部力与临界端部力。用ABAQUS软件建立多根带状弹簧卷绕松脱的有限元模型,将稳定松脱内径、稳定松脱形态、临界中心体半径与临界端部力的数值分析结果与理论模型计算结果进行比较,并通过试验验证了稳定松脱形态与稳定松脱内径,证明了理论模型的准确性。When tape springs are applied in the form of winding and stretching in spatially deployable structures,the problem of blossoming often occurs.Here,a multi-tape spring winding and blossoming model was proposed,in which a blossoming winding segment was divided into an external Archimedean spiral expansion zone and an internal semi-circular arc transition zone,and a strain energy analytical model was established.According to the principle of minimum potential energy,stable blossoming inner diameter and stable blossoming form were solved,and critical center body radius,stable tip force and critical tip force were derived.A finite element model for multi-tape spring winding and blossoming was established using the software ABAQUS,and the numerical analysis results of stable loosening inner diameter,stable loosening form,critical center body radius and critical tip force were compared with the theoretical model calculation results.Tests were conducted to verify stable blossoming form and stable blossoming inner diameter,and prove the correctness of the theoretical model.

关 键 词：带状弹簧 多根卷绕 松脱形态 端部力 临界条件 

分 类 号：V414.41[航空宇航科学与技术—航空宇航推进理论与工程]