A FEM Based on the Parametric Variational Principle for the Cable-network Antenna's Form-finding Design

2018 2nd International Conference on Advanced Technologies in Design, Mechanical and Aeronautical Engineering

工业技术;机械制造;航空航天工程

Liu, Tao^1,2 ; Li, Hao^2 ; Tang, Guoan^1 ; Zhou, Xin^2 ; Zhang, Liang^3

Department of Aeronautics and Astronautics, Fudan University, Shanghai

200433, China^1

Aerospace System Engineering Shanghai, Shanghai

201109, China^2

College of Aerospace Engineering, Chongqing University, Chongqing

400044, China^3

关键词: Co-rotational formulation;    Constitutive nonlinearities;    Form-finding analysis;    Geometrical non-linearity;    Governing equations;    Lemke algorithms;    Parametric variables;    Parametric variational principles;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/408/1/012018/pdf
DOI  :  10.1088/1757-899X/408/1/012018

来源: IOP

【 摘 要 】

According to the form-finding of the flexible cable-network antenna, a new form-finding analysis approach based on FEM is presented. A parametric variable and Co-rotational formulation are used to model antenna's constitutive nonlinearity and geometrical nonlinearity, and then the FEM governing equation is established. In order to improve the convergence ability, the Lemke algorithm combined with the improved Newton method is employed to solve the governing equation. The method is applied for nonlinear form-finding analysis of cable-network antenna and an ideal configuration is obtained. The research shows that the method can also be applied for studying other similar antennas.