A review of flexibility-based finite element method for beam-column elements

LI Shuang¹, ZHAI Chang-hai¹, XIE Li-li^1,2

1.School of Civil Engineering, Harbin Institute of Technology, Harbin 150090, China;2.Institute of Engineering Mechanics, China Earthquake Administration, Harbin 150080, China



Abstract:

For material nonlinear problem,elements derived with the flexibility-based method are more accurate than classical elements derived with the stiffness-based method. A review of the current state of the art of the flexibility-based finite element method is provided to enhance the robustness of structure analysis. The research on beam-column elements is the mainstream in the research on flexibility-based finite element method at present. The original development of flexibility-based finite element method is reviewed, and the further development of this method is then presented in several specific aspects, such as geometrically nonlinear analysis and dynamic analysis. The further research needed to be carried out in the future is finally discussed.

Key words:  flexibility-based finite element  beam-column element  material  geometrically  dynamic analysis

DOI：10.11916/j.issn.1005-9113.2009.01.017

Clc Number:TB115

Fund: