欢迎光临《计算力学学报》官方网站！

arametric variational finite element method for the form-finding of the cable-network antenna[J].计算力学学报,2021,38(1):73~77

arametric variational finite element method for the form-finding of the cable-network antenna
Parametric variational finite element method for the form-finding of the cable-network antenna

DOI：10.7511/jslx20190704001

 作者 单位 刘涛 复旦大学 航空航天系, 上海 200433上海宇航系统工程研究所, 上海 201109 王碧 上海宇航系统工程研究所, 上海 201109 唐国安 复旦大学 航空航天系, 上海 200433 周鑫 上海宇航系统工程研究所, 上海 201109 张亮 重庆大学 航空航天学院, 重庆 400044

针对柔性空间索网天线的非线性特点，建立了基于参变量变分描述索网拉压非线性和共旋列式描述几何非线性的有限元控制方程，应用Lemke与改进牛顿法进行求解。通过对索网预张力平衡计算，证明改进牛顿法比Newton-Raphson法具有更强的收敛能力。进一步将力密度法迭代原理与有限元法结合应用于索网天线的非线性找形分析中，获得了理想的索网构型。本文的索网找形方法可广泛应用于空间索网天线结构的设计。

In view of the constitutive nonlinearity and geometric nonlinearity of the cable-network antenna, the parametric variational principle and a co-rotational formation were introduced to establish the finite element governing equation.The improved Newton method was employed to solve the governing equation.Firstly,the method was applied for pretension balance calculation of cable-network antenna.The analysis results show that the improved Newton method has a better convergence than Newton-Raphson method.Further,the iterative principle of force density method combined with this finite element method was applied for nonlinear form-finding analysis of the cable-network antenna and an ideal configuration was obtained.The output of this paper is expected to provide some valuable information for studying other similar structures in the future.