Full Text:   <2531>

CLC number: TU32

On-line Access: 

Received: 2008-06-27

Revision Accepted: 2008-09-05

Crosschecked: 2009-03-04

Cited: 8

Clicked: 3482

Citations:  Bibtex RefMan EndNote GB/T7714

-   Go to

Article info.
1. Reference List
Open peer comments

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

10.1631/jzus.A0820494


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",
volume="10",
number="5",
pages="669~676",
year="2009",
publisher="Zhejiang University Press & Springer",
doi="10.1631/jzus.A0820494"
}

%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
%V 10
%N 5
%P 669~676
%@ 1673-565X
%D 2009
%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.A0820494

TY - JOUR
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


Abstract: 
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

Reference

[1] Chen, Y., You, Z., 2005. Mobile assemblies based on the Bennett linkage. Proceedings of the Royal Society A: Mathematical Physical and Engineering Sciences, 461(2056):1229-1245.

[2] Goldstein, H., Poole, C., Safko, J., 2002. Classical Mechanics (3rd Ed.). Addison-Wesley Publishing Co., Cambridge, Massachusetts, p.38-40.

[3] Levy, R, Spillers, W.R., 1995. Analysis of Geometrically Nonlinear Structures. Chapman and Hall, London, p.113-118.

[4] Lewis, W.J., 1984. Dynamic relaxation analysis of the non-linear static response of pretensioned cable roofs. Computer and Structures, 18(6):989-997.

[5] Luo, Y.Z., Lu, J.Y., 2006. Geometrically nonlinear force method for assemblies with infinitesimal mechanisms. Computers and Structures, 84(31-32):2194-2199.

[6] Luo, Y.Z., Mao, D.C., 2007. On a type of radially retractable plate structures. International Journal of Solids and Structures, 44(10):3452-3467.

[7] Pellegrino, S., 1990. Analysis of prestressed mechanisms. International Journal of Solids & Structures, 26(12):1329-1350.

[8] Pellegrino, S., Calladine, C.R., 1986. Matrix analysis of statically and kinematically indeterminate frameworks. International Journal of Solids & Structures, 22(4):409-428.

[9] Pellegrino, S., Kwan, A.S.K., van Heerden, T.F., 1992. Reduction of equilibrium, compatibility and flexibility Matrices in the force method. International Journal for Numerical Methods in Engineering, 35(6):1219-1236.

[10] Shih, C., Wang, Y.K., Ting, E.C., 2004. Fundamentals of a vector form intrinsic finite element: Part III. Convected material frame and examples. Journal of Mechanics, 20(2):133-143.

[11] Tanaka, H., Hangai, Y., 1986. Rigid Body Displacement and Stabilization Conditions of Unstable Truss Structures. Shells, Membranes and Space Frames. Proceedings IASS Symposium, Elsevier Science Publishers, Osaka, Japan, p.55-62.

[12] Ting, E.C., 2007. Mechanics Concepts for Structural Simulation Analysis. Proceedings of the Fourth Cross-strait Conference of Structural and Geotechnical Engineering, Hangzhou, China, 24~26:51-60 (in Chinese).

[13] Ting, E.C., Shih, C., Wang, Y.K., 2004. Fundamentals of a vector form intrinsic finite element: Part I. Basic procedure and a plane frame element. Journal of Mechanics, 20(2):113-122.

[14] Wang, C.Y., Wang, R.Z., Chuang, C.C., Wu, T.Y., 2006a. Nonlinear analysis of reticulated space truss structures. Journal of Mechanics, 22(3):199-212.

[15] Wang, C.Y., Wang, R.Z., Tai, K.C., 2006b. Numerical Simulation of the Progressive Failure and Collapse of Structure under Seismic and Impact Loading. 4th International Conference on Earthquake Engineering, Taipei, Taiwan, p.84-90.

[16] Wang, R.Z., Chuang, C.C., Wu, T.Y., Wang, C.Y., 2005. Vector form analysis of space truss structure in large elastic-plastic deformation. Journal of the Chinese Institute of Civil Hydraulic Engineering, 17(4):633-646.

[17] Wu, T.Y., Wang, R.Z., Wang, C.Y., 2006. Large deflection analysis of flexible planar frames. Journal of the Chinese Institute of Engineers, 29(4):593-606.

[18] Zhao, M.L., Guan, F.L., Hou, G.Y., 2006. Deployment analysis of deployable truss structures with flexible deformation. Journal of Zhejiang University (Engineering Science), 40(11):1837-1841 (in Chinese).

Open peer comments: Debate/Discuss/Question/Opinion

<1>

Please provide your name, email address and a comment





Journal of Zhejiang University-SCIENCE, 38 Zheda Road, Hangzhou 310027, China
Tel: +86-571-87952783; E-mail: cjzhang@zju.edu.cn
Copyright © 2000 - Journal of Zhejiang University-SCIENCE