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| Parametric variational finite element method for the form-finding of the cable-network antenna |
| Received:July 04, 2019 Revised:April 28, 2020 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx20190704001 |
| KeyWord:cable-network antenna parametric variational principle co-rotational formation improved Newton method form-finding analysis |
| Author | Institution |
| 刘涛 |
复旦大学 航空航天系, 上海 ;上海宇航系统工程研究所, 上海 |
| 王碧 |
上海宇航系统工程研究所, 上海 |
| 李昊 |
上海宇航系统工程研究所, 上海 |
| 周鑫 |
上海宇航系统工程研究所, 上海 |
| 张亮 |
重庆大学 航空航天学院, 重庆 |
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| Abstract: |
| 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. |