索网结构非线性有限元分析中初始张力状态的快速构造方法  

Fast Construction Method for Initial Tension State in Nonlinear Finite Element Analysis of Cable Net Structure

作　　者：王威 吴松 郭其威 唐国安 WANG Wei;WU Song;GUO Qiwei;TANG Guoan(Department of Aeronautics and Astronautics,Fudan University,Shanghai 200433,China;Shanghai Key Laboratory of Spacecraft Mechanism,Shanghai 201108,China;Aerospace System Engineering Shanghai,Shanghai 201108,China)

机构地区：[1]复旦大学航空航天系,上海200433 [2]上海空间飞行器机构重点实验室,上海201108 [3]上海宇航系统工程研究所,上海201108

出　　处：《上海航天（中英文）》2021年第5期89-97,共9页Aerospace Shanghai（Chinese&English）

摘　　要：预应力索网结构是以柔性拉索为主要承重构件或辅助承重构件的一种结构体系,用于可展开天线等空间结构。为在有限元数值分析时准确、高效地施加张拉预应力,综合考虑索网的几何非线性、刚度矩阵奇异性、索网与支撑结构存在耦合变形等问题,利用索网式可展开天线的特性,在非线性有限元计算时忽略初位移刚度矩阵,将问题线性化,并详细介绍了以降温法模拟预应力时降温值的计算过程。此方法无需迭代,且得到的降温值在用于索网非线性计算时具有足够的精度;此方法能充分利用通用有限元计算程序,可进一步开展模态和响应等力学计算,便于在工程中实际应用。Prestressed cable net structure is a kind of structural system with flexible cable as the main load-bearing component or auxiliary load-bearing component.It can be used in space structures such as deployable antenna.In order to apply tension prestress accurately and efficiently in the finite element numerical analysis,problems such as the geometric nonlinearity of cable net,the singularity of stiffness matrix,the coupling deformation between cable net and supporting structure should be comprehensively considered.With the characteristics of cable net deployable antenna,the initial displacement stiffness matrix is ignored in the nonlinear finite element calculation,by which the considered problems are linearized.The calculation process of using the temperature drop method to obtain the temperature drop value under prestress is introduced in detail.The temperature drop method does not need iteration,and the drop value obtained is accurate enough for the nonlinear calculation of cable network.It can make full use of the general finite element calculation program to further carry out the mechanical calculation of modal and response,and is convenient for practical application in engineering.

关 键 词：预应力索网 可展开天线 几何非线性 降温法 数值仿真 

分 类 号：V443.4[航空宇航科学与技术—飞行器设计]