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CLC number: TU393.3

On-line Access: 2014-10-08

Received: 2014-03-12

Revision Accepted: 2014-06-25

Crosschecked: 2014-09-25

Cited: 1

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Citations:  Bibtex RefMan EndNote GB/T7714

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Journal of Zhejiang University SCIENCE A 2014 Vol.15 No.10 P.813-828


Computational methods for the zero-stress state and the pre-stress state of tensile cable-net structures*

Author(s):  Wu-jun Chen, Jin-yu Zhou, Jun-zhao Zhao

Affiliation(s):  . Space Structures Research Center, Shanghai Jiao Tong University, Shanghai 200030, China

Corresponding email(s):   zjysjtu@sjtu.edu.cn

Key Words:  Tensile cable-net structure, Zero-stress state, Pre-stress state, Pre-stress release analysis, Pre-tensioning development analysis, Form finding, Inverse problem

Wu-jun Chen, Jin-yu Zhou, Jun-zhao Zhao. Computational methods for the zero-stress state and the pre-stress state of tensile cable-net structures[J]. Journal of Zhejiang University Science A, 2014, 15(10): 813-828.

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author="Wu-jun Chen, Jin-yu Zhou, Jun-zhao Zhao",
journal="Journal of Zhejiang University Science A",
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%0 Journal Article
%T Computational methods for the zero-stress state and the pre-stress state of tensile cable-net structures
%A Wu-jun Chen
%A Jin-yu Zhou
%A Jun-zhao Zhao
%J Journal of Zhejiang University SCIENCE A
%V 15
%N 10
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%@ 1673-565X
%D 2014
%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.A1400080

T1 - Computational methods for the zero-stress state and the pre-stress state of tensile cable-net structures
A1 - Wu-jun Chen
A1 - Jin-yu Zhou
A1 - Jun-zhao Zhao
J0 - Journal of Zhejiang University Science A
VL - 15
IS - 10
SP - 813
EP - 828
%@ 1673-565X
Y1 - 2014
PB - Zhejiang University Press & Springer
ER -
DOI - 10.1631/jzus.A1400080

This paper proposes an extended design concept and mechanical description for cable-net structures, including 10 states and 15 procedures which are defined according to their physical nature and analytical capabilities. In the pre-stress release analysis, an iterative computational method is developed for the inverse evaluation from the equilibrium state to the zero-stress state, which adopts the least norm least square approach (LNLS) to the compatibility equation because of the indeterminate property of a cable-net structure. In the pre-tensioning development analysis, another iterative computational method is developed for the positive problem from the zero-stress state to the actual pre-stress state by moving the boundary joints, in which the explicit governing equations are formulated based on the particular energy function and a feasible self-stress mode is adopted to avoid the singularity of the initial stiffness matrix. To implement these methods, Matlab algorithms are developed and two examples are investigated. By comparing the results of the iterative method with those of the dynamic relaxation method, this study determines that they are comparable with each other, which validates the efficiency and accuracy of these iterative methods.



Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article


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