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Abstract

Deployable structures have been widely used in civil engineering and space technology for their versatility in meeting the practical requirements. Using the finite particle method (FPM), this article presents a motion analysis of deployable structures based on the straight-rod hinge and angulated-rod hinge. The FPM is a recently proposed method that is based on the combination of the vector mechanics and numerical calculations. It models the analysed domain composed of finite particles. Newton's second law is adopted to describe the motions of all particles. FPM can simultaneously calculate large rigid body motions and large geometrical changes of a structural system. There is no need to solve any non-linear equations, to calculate the stiffness matrix or equilibrium matrix, which is very helpful in the motion analysis of deployable structures. The fundamentals of this method are given first, including the basic motion equation, the derivation for planar element, and solution procedures of this method. The rod hinge element is developed to model the deployable structure. Two deployable structures based on different elements are analysed with the same program. From the simulation results, the article shows the capabilities and accuracy of this method in the motion analysis of deployable structures.

Keywords

finite particle method motion analysis deployable structures rod hinge vector mechanics

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References

Pellegrino

Deployable structure (New York: Springer Wien 20011–36.

Luo

Y. Z.

Mao

D. C.

On a type of radially retractable plate structures

Int. J. Solids Struct. 4410 20063452–3467.

Géradin

Cardona

Flexible multibody dynamics: A finite element approach (New York: Wiley 20011–15.

Pellegrino

Calladine

C. R.

Matrix analysis of statically and kinematically indeterminate frameworks

Int. J. Solids Struct. 22 1986409–428.

Pellegrino

Analysis of prestressed mechanisms

Int. J. Solids Struct 2612 19961329–1350.

Kwan

A. S. K.

Pellegrino

Matrix formulation of macro-elements for deployable structures

Comput. Struct. 502 1994237–254.

You

Pellegrino

Foldable bar structures

Int. J. Sol. Struct. 3415 19971825–1847.

Hoberman

Radial expansion retraction truss structure (1991 US Pat. 5024031.

J. Y.

Luo

Y. Z.

Equilibrium matrix analysis of retractable structure formed by planar multi-angulated beam

Eng. Mech. 297 200811–18.

10.

Luo

Y. Z.

J. Y.

Geometrically nonlinear force method for assemblies with infinitesimal mechanisms

Comput. Struct. 8431 20062194–2199.

11.

Gan

W. W.

Pellegrino

Closed-loop deployable structures. In Proceedings of the 44th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference, Norfolk, April 2003 pp. 578–591, AIAA paper 2003–1450.

12.

Luo

Y. Z.

Deployable membrane structure based on the Bennett linkage

Proc. IMechE Part G: J. Aerospace Engineering 221 2007775–783 DOI: 10.1243/09544100JAERO197.

13.

Luo

Y. Z.

Liu

J. Y.

A retractable structure based on Bricard linkages and rotating rings of tetrahedral

Int. J. Solids Struct. 45 2008620–630.

14.

Ting

E. C.

Shih

Wang

Y. K.

Fundamentals of a vector form intrinsic finite element: Part I. Basic procedure and a plane frame element

J. Mech. 202 2004113–122.

15.

Ting

E. C.

Wang

C. Y.

T. Y.

Wang

R. Z.

Chuang

C. C.

Motion analysis and vector form intrinsic finite element, report no. CBER-2006-W-001, V-5 Research Group (Taiwan: National Central University 2006).

16.

Shih

Wang

Y. K.

Ting

E. C.

Fundamentals of a vector form intrinsic finite element: Part III. Convected material frame and examples

J. Mech. 202 2004133–143.

17.

Wang

R. Z.

Chuang

C. C.

T. Y.

Wang

C. Y.

Vector form analysis of space truss structure in large elastic—plastic deformation

J. Chin. Inst. Civ. Hydraul. Eng. 174 2005633–646.

18.

T. Y.

Wang

R. Z.

Wang

C. Y.

Large deflection analysis of flexible planar frames

J. Chin. Inst. Eng. 294 2006593–606.

19.

Wang

C. Y.

Wang

R. Z.

Chuang

C. C.

T. Y.

Nonlinear analysis of reticulated space truss structures

J. Mech. 223 2006199–212.

20.

Wang

C. Y.

Wang

R. Z.

Tai

K. C.

Numerical simulation of the progressive failure and collapse of structure under seismic and impact loading. In Proceedings of the Fourth International Conference on Earthquake Engineering, Taipei, Taiwan 2006, pp. 84–90.

21.

Luo

Y. Z.

Finite particle method for kinematically indeterminate bar assemblies

J. Zhejiang Univ. Sci. A. 105 2009669–676.

22.

Lewis

W. J.

Dynamic relaxation analysis of the non-linear static response of pretensioned cable roofs

Comput. Struct. 186 1984989–997.

23.

Goldstein

Poole

Safko

Classical mechanics (Cambridge, Massachusetts: Addison-Wesley Publishing Co. 2002).

24.

Luo

Y. Z.

J. Y.

Design of adaptive deployable mechanisms formed by pantograph elements. In Proceedings of the International Conference on Adaptable Building Structures, Eindhoven, The Netherlands 2006, pp. 578–582.

25.

Research on equilibrium matrix analysis theory of kinematically indeterminate structures Doctoral Thesis Zhejiang University 2008.

26.

Jensen

F. V.

Cover elements for retractable roof structures First-year report submitted to the University of Cambridge Department of Engineering, University of Cambridge 2001.

27.

Jensen

F. V.

Concepts for retractable roof structures PhD Dissertation University of Cambridge 2005.

Motion analysis of deployable structures based on the rod hinge element by the finite particle method

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