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索网天线找形分析的参变量变分有限元法
A Finte Element Method Using the Parametric Variational Principle for the Form-finding of Cable Network Antenna
投稿时间:2017-12-03  修订日期:2018-01-28
DOI:
中文关键词:  索网天线  参变量变分  共旋列式  改进牛顿法  找形分析
英文关键词:cable-network antenna  parametric variational principle  co-rotational formation  improved Newton method  form-finding analysis
基金项目:国家自然科学基金资助(11202052)
作者单位E-mail
刘涛 上海宇航系统工程研究所 liutaobj@163.com 
王碧 上海宇航系统工程研究所  
唐国安 复旦大学航空航天系 tangguoan@fudan.edu.cn 
周鑫 上海宇航系统工程研究所  
张亮 重庆大学航空航天学院工程力学系  
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中文摘要:
      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法与改进牛顿法进行求解。通过对索网预张力平衡计算,证明改进牛顿法比牛顿-拉夫逊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天线结构的设计。
英文摘要:
      According to the nonlinear characteristics of flexible cable-network antenna, a parametric variable is introduced to model cable’s constitutive nonlinearity and Co-rotational formation is introduced to model cable-network antenna’s geometrical nonlinearity for the finite element method’s governing equation. The Lemke algorithm combined with improved Newton method is employed to solve the governing equation. Then the method is applied for pretension balance calculation of cable-network antenna, the analysis results demonstrate that 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 is applied for nonlinear form-finding analysis of 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.
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