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Received: 2008-06-27

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Journal of Zhejiang University SCIENCE A 2009 Vol.10 No.5 P.669~676


Finite particle method for kinematically indeterminate bar assemblies

Author(s):  Ying YU, Yao-zhi LUO

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

Corresponding email(s):   luoyz@zju.edu.cn

Key Words:  Finite particle method (FPM), Vector mechanics, Convected material frame, Explicit time integrations, Kinematically indeterminate bar assemblies

Ying YU, Yao-zhi LUO. Finite particle method for kinematically indeterminate bar assemblies[J]. Journal of Zhejiang University Science A, 2009, 10(5): 669~676.

@article{title="Finite particle method for kinematically indeterminate bar assemblies",
author="Ying YU, Yao-zhi LUO",
journal="Journal of Zhejiang University Science A",
publisher="Zhejiang University Press & Springer",

%0 Journal Article
%T Finite particle method for kinematically indeterminate bar assemblies
%A Ying YU
%A Yao-zhi LUO
%J Journal of Zhejiang University SCIENCE A
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%N 5
%P 669~676
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%D 2009
%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.A0820494

T1 - Finite particle method for kinematically indeterminate bar assemblies
A1 - Ying YU
A1 - Yao-zhi LUO
J0 - Journal of Zhejiang University Science A
VL - 10
IS - 5
SP - 669
EP - 676
%@ 1673-565X
Y1 - 2009
PB - Zhejiang University Press & Springer
ER -
DOI - 10.1631/jzus.A0820494

This study presents a structural analysis algorithm called the finite particle method (FPM) for kinematically indeterminate bar assemblies. Different from the traditional analysis method, FPM is based on the combination of the vector mechanics and numerical calculations. It models the analyzed domain composed of finite particles. Newton’s second law is adopted to describe the motions of all particles. A convected material frame and explicit time integration for the solution procedure is also adopted in this method. By using the FPM, there is no need to solve any nonlinear equations, to calculate the stiffness matrix or equilibrium matrix, which is very helpful in the analysis of kinematically indeterminate structures. The basic formulations for the space bar are derived, following its solution procedures for bar assemblies. Three numerical examples are analyzed using the FPM. Results obtained from both the straight pretension cable and the suspension cable assembly show that the FPM can produce a more accurate analysis result. The motion simulation of the four-bar space assembly demonstrates the capability of this method in the analysis of kinematically indeterminate structures.

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


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