Abstract—This paper aims to investigate the dynamic
buckling problems of linear beam system with initial axial force
and uniform moment by the developed spline finite element
method, which is employed to obtain the dynamic stiffness
matrix. Second order effects of the axial force and moment are
considered. The moment-frequency interaction diagrams in
uniform axial force and moment are plotted. The effects of
warping rigidity, torsional rigidity, axial tension and
compression on moment buckling are investigated in detail. The
spline finite element method is proved to be very efficient for
the present problems and many interaction diagrams can be
plotted easily.
Index Terms—Beam, dynamic buckling, spline finite element
Hao Yang and Sai-Huen Lo are with the Department of Civil Engineering,
The University of Hong Kong, Pokfulam, Hong Kong (e-mail:
hollis.yang.hao@gmail.com, hreclsh@hku.hk).
Tee Tak Leung is with the Department of Civil and Architectural
Engineering, College of Science and Engineering, City University of Hong
Kong (e-mail: andrew.leung@cityu.edu.hk).
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Cite:Hao Yang, Sai-Huen Lo, and Yee Tak Leung, "Interactive Axial-Moment Dynamic Buckling of Beams by
Spline Finite Element," International Journal of Engineering and Technology vol. 5, no. 3, pp. 382-385, 2013.
