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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 268-270A Simple Co-Rotational Finite Planar Beam Element...

A Simple Co-Rotational Finite Planar Beam Element of Geometrical and Material Nonlinearity

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Abstract:

A simple geometrical and material nonlinear co-rotational planar beam element of field consistency is proposed. Herein the element which produces a local stiffness matrix of 3 by 3 other than 6 by 6 is developed. Material nonlinearity is taken into account on the base of yield function of element internal forces. By applying static equilibrium relationship of classic beam theory for the transferring of local element nodal force to global element nodal force, a new transformation matrix different from the nodal displacement transformation matrix is established. Although this results in an asymmetric global tangential stiffness matrix, the new transformation is simpler, and gives rise to field consistency and makes it possible to compute very large beam deflection without remeshing of the deformed structure. Computations of numerical example indicates that formulations for the nonlinear beam element are of validation and high efficiency

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Periodical:

Applied Mechanics and Materials (Volumes 268-270)

Pages:

1163-1167

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.268-270.1163

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Online since:

December 2012

Authors:

Song Bai Cai, Da Zhi Li, Chang Wan Kim, Pu Sheng Shen

Keywords:

Co-Rotational Procedure, Field Consistency, Geometrical Nonlinearity, Material Nonlinearity, Planar Euler-Bernoulli Beam Element

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© 2013 Trans Tech Publications Ltd. All Rights Reserved

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