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Title: Nonlinear beam-column element under consistent deformation
Authors: Tang, YQ
Zhou, ZH
Chan, SL 
Keywords: Beam-column element
Co-rotational approach
Consistent deformation element
Large deflection analysis
Membrane locking
Shear locking
Issue Date: 2015
Publisher: World Scientific
Source: International journal of structural stability and dynamics, 2015, v. 15, no. 5, 1450068 How to cite?
Journal: International journal of structural stability and dynamics 
Abstract: A new nonlinear beam-column element capable of considering the shear deformation is proposed under the concept of consistent deformation. For the traditional displacement interpolation function, the beam-column element produces membrane locking under large deformation and shear locking when the element becomes slender. To eliminate the membrane and shear locking, force equilibrium equations are employed to derive the displacement function. Numerical examples herein show that membrane locking in the traditional nonlinear beam-column element could cause a considerable error. Comparison of the present improved formulae based on the Timoshenko beam theory with that based on the Euler-Bernoulli beam theory indicates that the present approach requires several additional parameters to consider shear deformation and it is suitable for computer analysis readily for incorporation into the frames analysis software using the co-rotational approach for large translations and rotations. The examples confirm that the proposed element has higher accuracy and numerical efficiency.
ISSN: 0219-4554
EISSN: 1793-6764
DOI: 10.1142/S0219455414500680
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