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Title: Tangent stiffness matrix for geometrically nonlinear analysis of space frames
Authors: Gu, J
Chan, S 
Keywords: Beam elements
Flexural-torsional buckling
Geometric nonlinearity
Second-order effects
Space frames
Tangent stiffness matrix
Issue Date: 2005
Publisher: Editorial Dept. of Journal of Southeast University
Source: Journal of Southeast University (English edition), 2005, v. 21, no. 4, p. 480-485 How to cite?
Journal: Journal of Southeast University (English edition) 
Abstract: A three-dimensional beam element is derived based on the principle of stationary total potential energy for geometrically nonlinear analysis of space frames. A new tangent stiffness matrix, which allows for high order effects of element deformations, replaces the conventional incremental secant stiffness matrix. Two deformation stiffness matrices due to the variation of axial force and bending moments are included in the tangent stiffness. They are functions of element deformations and incorporate the coupling among axial, lateral and torsional deformations. A correction matrix is added to the tangent stiffness matrix to make displacement derivatives equivalent to the commutative rotational degrees of freedom. Numerical examples show that the proposed element is accurate and efficient in predicting the nonlinear behavior, such as axial-torsional and flexural-torsional buckling, of space frames even when fewer elements are used to model a member.
ISSN: 1003-7985
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