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CLC number: TU383

On-line Access: 2014-04-03

Received: 2013-07-15

Revision Accepted: 2014-01-22

Crosschecked: 2014-03-17

Cited: 5

Clicked: 3794

Citations:  Bibtex RefMan EndNote GB/T7714

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Journal of Zhejiang University SCIENCE A 2014 Vol.15 No.4 P.255-271


An efficient numerical shape analysis for light weight membrane structures*

Author(s):  Chao Yang, Yan-bin Shen, Yao-zhi Luo

Affiliation(s):  . Space Structures Research Center, Zhejiang University, Hangzhou 310058, China

Corresponding email(s):   benjamin127@163.com

Key Words:  Tension membranes, Finite particle method (FPM), Shape analysis, Explicit time integration, Initial equilibrium shape

Chao Yang, Yan-bin Shen, Yao-zhi Luo. An efficient numerical shape analysis for light weight membrane structures[J]. Journal of Zhejiang University Science A, 2014, 15(4): 255-271.

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author="Chao Yang, Yan-bin Shen, Yao-zhi Luo",
journal="Journal of Zhejiang University Science A",
publisher="Zhejiang University Press & Springer",

%0 Journal Article
%T An efficient numerical shape analysis for light weight membrane structures
%A Chao Yang
%A Yan-bin Shen
%A Yao-zhi Luo
%J Journal of Zhejiang University SCIENCE A
%V 15
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%P 255-271
%@ 1673-565X
%D 2014
%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.A1300245

T1 - An efficient numerical shape analysis for light weight membrane structures
A1 - Chao Yang
A1 - Yan-bin Shen
A1 - Yao-zhi Luo
J0 - Journal of Zhejiang University Science A
VL - 15
IS - 4
SP - 255
EP - 271
%@ 1673-565X
Y1 - 2014
PB - Zhejiang University Press & Springer
ER -
DOI - 10.1631/jzus.A1300245

The determination of initial equilibrium shapes is a common problem in research work and engineering applications related to membrane structures. Using a general structural analysis framework of the finite particle method (FPM), this paper presents the first application of the FPM and a recently-developed membrane model to the shape analysis of light weight membranes. The FPM is rooted in vector mechanics and physical viewpoints. It discretizes the analyzed domain into a group of particles linked by elements, and the motion of the free particles is directly described by Newton’s second law while the constrained ones follow the prescribed paths. An efficient physical modeling procedure of handling geometric nonlinearity has been developed to evaluate the particle interaction forces. To achieve the equilibrium shape as fast as possible, an integral-form, explicit time integration scheme has been proposed for solving the equation of motion. The equilibrium shape can be obtained naturally without nonlinear iterative correction and global stiffness matrix integration. Two classical curved surfaces of tension membranes produced under the uniform-stress condition are presented to verify the accuracy and efficiency of the proposed method.




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


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