Tangent Stiffness Matrix of Spatial Beam Element Considering Bend and Torsion Coupling Effect

Abstract:

Based on the spatial beam-column differential equations, the slope deflection equations considering second-order and bend-torsion coupling effect are established. The additional moment caused by torsion and bend deflection are taken into account. Then the finite element pattern of spatial beam-column considering the couple effect of torsion and bend is given. The tangent stiffness matrix and relevant program for nonlinear analysis are further obtained. By the nonlinear calculation and stability analysis of single component which has high accuracy or precise solution, the precision of the FEM model given in this paper is verified by comparing the results with that given in references.

• Periodical: Advanced Materials Research (Volume 1021)
• Pages: 73-78
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.1021.73
• Online since: August 2014
• Authors: Liang Du*, Peng Lan, Nian Li Lu
• Keywords: Coupled Bend and Nonlinear Analysis, Nonlinear Analysis, Rotation Displacement Equation, Spatial Beam, Tangent Stiffness Matrix

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