Large Deployable Satellite Antennas by Baoyan Duan & Yiqun Zhang & Jingli Du

Author:Baoyan Duan & Yiqun Zhang & Jingli Du
Language: eng
Format: epub
ISBN: 9789811560330
Publisher: Springer Singapore

where

(4.21)

(4.22)

(4.23)

(4.24)

The horizontal force , which should be calculated in advance to obtain the tangent stiffness matrix , satisfies

(4.25)

can be obtained by solving the following equation based on an iterative algorithm. Then, the cable tension can be obtained as

(4.26)

Furthermore, the tension and position coordinates for an arbitrary point on an ECE can be expressed as

(4.27)

(4.28)

4.3.2 Form-Finding Method for Slack Cable Net

The form-finding process for a cable-net structure aims to determine the equilibrium state after the boundary conditions, loads and original lengths are established. In other words, it is a procedure to obtain the coordinates of the free nodes and in the equilibrium state and the corresponding tension distribution of the cable net when the coordinates of the fixed nodes , , and are known as shown in Fig. 4.7. For the arbitrary free node c at equilibrium, the resultant force should be zero:

Fig. 4.7Cable net system. a Tensioned cable net. b Slack cable net

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