On the convergence of an inverse iteration method for nonlinear elliptic eigenvalue problems

1979 ◽  
Vol 32 (1) ◽  
pp. 69-74 ◽  
Author(s):  
Kurt Georg
Keyword(s):  
Iteration Method ◽  
Eigenvalue Problems ◽  
Inverse Iteration ◽  
Nonlinear Elliptic ◽  
Elliptic Eigenvalue Problems ◽  
Inverse Iteration Method

scholarly journals Shape Design of Cable-net for Parabolic Cylindrical Deployable Antenna

2019 ◽  
Vol 256 ◽  
pp. 05005
Author(s):  
Han Zhang ◽  
Bo Dong ◽  
Yiqun Zhang ◽  
Na Li
Keyword(s):  
Iteration Method ◽  
Matrix Method ◽  
Simulation Analysis ◽  
Truss Structure ◽  
Shape Design ◽  
Inverse Iteration ◽  
Antenna Structure ◽  
Equilibrium Matrix ◽  
The Given ◽  
Inverse Iteration Method

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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