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Large Deformation and Post-Buckling Analyses of Plane and Space Truss Structures

Simplified Finite Element Analyses Considering Member’s Buckling

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Computational Mechanics ’86

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Abstract

A simple and useful expression for the tangent stiffness matrix of a truss undergoing arbitrarily large deformation, as well as member’s buckling, is given. An arc length method is used to solve the tangent stiffness equations in the post-buckling range of the structural deformation. Numerical examples to illustrate the viability of the present approach in analyzing truss structures, simply, efficiently, and accurately, are given.

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References

  1. K.Kondoh and S.N.Atluri: Influence of Local Buckling on Global Instability: Simplified, Large Deformation, Post-Buckling Analyses of Plane Trusses, Comp. Struct., Vol.21, No.4, 1985.

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  2. K.Kondoh, K.Tanaka and S.N.Atluri: A Method for Simplified Nonlinear Analysis of Large Space-Trusses and -Frames, Using Explicitly Derived Tangent Stiffness, and Accounting for Local Buckling, U.S.Air Force Wright Aeronautical Labs. Report, 1985.

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  3. R.H.Gallagher: Finite Element Method for Instability Analysis, in Handbook of Finite Elements (Eds: H.Kardestuncer et al.), McGraw-Hill (In Press).

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  4. J.M.T.Thompson and G.W.Hunt: A General Theory of Elastic Stability, Wiley, 1973.

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  5. Y.Hangai and S.Kawamata: Perturbation Method in the Analysis of Geometrically Nonlinear and Stability Problem, in Advancememt in Computational Methods in Structural Mechanics and Design (Eds: J.T.Oden et al.), UAH Press, 1972.

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Author information

Authors and Affiliations

  1. Faculty of Engineering, Hiroshima University, Saijo, Higashi-hiroshima, Hiroshima, 724, Japan

    Kazuo Kondoh

  2. Nippon Steel Corporation, Nakahara, Tobata-ku, Kita-kyushu, Fukuoka, 804, Japan

    Kazunari Tanaka

Authors
  1. Kazuo Kondoh
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  2. Kazunari Tanaka
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Editor information

Editors and Affiliations

  1. Department of Nuclear Engineering, The University of Tokyo, 3-1, Hongo 7-chome, Bunkyo-ku, Tokyo 113, Japan

    Genki Yagawa

  2. Center for the Advancement of Computational Mechanics, School of Civil Engineering, Georgia Institute of Technology, 225, North Avenue, Atlanta, GA, 30332, USA

    Satya N. Atluri

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© 1986 Springer Japan

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Kondoh, K., Tanaka, K. (1986). Large Deformation and Post-Buckling Analyses of Plane and Space Truss Structures. In: Yagawa, G., Atluri, S.N. (eds) Computational Mechanics ’86. Springer, Tokyo. https://doi.org/10.1007/978-4-431-68042-0_89

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  • DOI: https://doi.org/10.1007/978-4-431-68042-0_89

  • Publisher Name: Springer, Tokyo

  • Print ISBN: 978-4-431-68044-4

  • Online ISBN: 978-4-431-68042-0

  • eBook Packages: Springer Book Archive

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