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| Exact Beam Element and Algorithms for Stability Analysis of Frame Structures Including Transverse Shear Deformation |
| Wenxiong Li, Haitao Ma, Taicong Chen |
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Abstract Based on the general solutions of the governing equation for linear
buckling of Timoshenko beam under axial force, exact shape functions
for transverse shear deformable beam are constructed and
corresponding exact element stiffness matrix and geometrical
stiffness matrix are formulated for stability analysis of frame
structures. Two new algorithms are developed for the determination
of a given number of critical load factors or all critical load
factors in a given range. In addition to the conventional eigenvalue
extraction method, the well-known Wittrick-Williams method is
employed in both algorithms. Numerical examples are presented to
demonstrate the effectiveness of the proposed element and\linebreak
algorithms.
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| DOI:10.12733/jics20105674 |
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