|Table of Contents|

Form-finding Analysis Method of Force Density for Cable-strut Tension Structure(PDF)

《建筑科学与工程学报》[ISSN:1673-2049/CN:61-1442/TU]

Issue:
2010年01期
Page:
7-11
Research Field:
Publishing date:
2010-03-20

Info

Title:
Form-finding Analysis Method of Force Density for Cable-strut Tension Structure
Author(s):
CHEN Wu-jun;  DU Gui-shou;  REN Xiao-qiang
Space Structure Research Centre, Shanghai Jiaotong University, Shanghai 200030, China
Keywords:
cable-strut tension structure;  force density matrix;  deficiency;  feasible force density;  M-P generalized inverse matrix
PACS:
TU345.1
DOI:
-
Abstract:
A modified force density method(MFDM)was developed for form-finding analysis due to the inherent characteristics of cable-strut tension structure systems. On the basis of conventional force density method of pure cable-net system, the force density equilibrium equation was formulated for the cable-strut self-equilibrated assembly. Since the cable-strut assembly had self-equilibrium unstressed mechanism, stress mode, free body and the properties of force density matrix, the rank deficiency of the matrix was deduced. The linear constraint of force density and nodal coordinate vector were applied to the analytical model. The deficiency force density matrix could be obtained with the Gaussian transformation deficiency, the updated force density could be got with M-P generalized inverse matrix, and the feasible force density was solved iteratively. The final equilibrated form was calculated with non-dependable nodal coordinate and topology. Finally, the program was developed with VC++. The results show that the proposed method can applied to form-finding analysis of cable-strut tension structure, and the algorithm is correct and available.

References:

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Memo

Memo:
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Last Update: 2010-03-20