inverse iteration method
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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.


2012 ◽  
Vol 204-208 ◽  
pp. 1282-1285 ◽  
Author(s):  
Feng Zhang

Cable net is a typical kind of flexible space structure, the effective stiffness forming need be through the prestress. The distribution of the prestressed need be through morphological analysis to find in finish. Based on the analysis of two methods: force reduction equilibrium method and inverse iteration method, the basic thought and algorithm of the two methods were analyzed. The numerical results indicate that the large cable network structure can be obtained through analysis for force satisfies given shape of prestress distribution.


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