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A Practical Large Displacements In-Plane Analysis of Elastic Beams

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Computational Mechanics ’86

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Abstract

A practical procedure for the geometrically nonlinear finite element analysis of in-plane beams structures is presented. The element stiffness matrix is obtained by superimposing the bending and the geometric stiffness matrices of elementary beam element and the stiffness matrix of linear bar element. A body attached coordinate is adopted to distinguish between rigid body and deformational rotations. The element internal nodal forces are calculated using the total deformational displacements. This formulation removes the restrictions of small nodal rotations between two successive increments. Numerical examples are presented to demonstrate the accuracy and efficiency of the proposed method.

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Author information

Authors and Affiliations

  1. Department of Mechanical Engineering, National Chiao Tung University, Hsinchu, Taiwan, China

    K. M. Hsiao & F. Y. Hou

Authors
  1. K. M. Hsiao
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  2. F. Y. Hou
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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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Hsiao, K.M., Hou, F.Y. (1986). A Practical Large Displacements In-Plane Analysis of Elastic Beams. In: Yagawa, G., Atluri, S.N. (eds) Computational Mechanics ’86. Springer, Tokyo. https://doi.org/10.1007/978-4-431-68042-0_68

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  • DOI: https://doi.org/10.1007/978-4-431-68042-0_68

  • 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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