Improving the convergence rate of the inverse iteration method

1995 ◽  
Vol 55 (4) ◽  
pp. 709-715 ◽  
Author(s):  
S. Rajendran ◽  
M.R. Raghavan ◽  
M.V. Narasimhan
2019 ◽  
Vol 256 ◽  
pp. 05005
Author(s):  
Han Zhang ◽  
Bo Dong ◽  
Yiqun Zhang ◽  
Na Li

A method of cable-net shape design based on the equilibrium matrix method is proposed for a new parabolic cylindrical deployable antenna structure with fewer modules. And the inverse iteration method is adopted to find the shape of cable-truss structure with considering the truss deformation induced by cable tension. Firstly, the ideal geometrical configuration of the locally symmetric support cable is designed for the given truss. Then, the pretension distribution of the cable is solved by the equilibrium matrix method under the circumstance of the unchanged topology of cable-net structure, position of nodes and boundary condition. In addition, the inverse iteration method is adopted to find the shape of cable-truss structure. Finally, the validity of the method is verified by simulation analysis.


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