Abstract:
Abstract: Vibration characteristics of steel framed structures are affected by accurate modelling of the mass and
stiffness matrices of beam and column members. In this regards, wide flange sections are the most popularly used
steel sections, and calculation of axial, flexural and shear responses of these sections become critical. In this study,
a mixed formulation frame finite element is developed from three-fields Hu-Washizu-Barr functional. Consistent
mass matrix of the element is obtained such that determination of vibration frequencies of members with varying
geometry and material distribution is modelled without any need for specification of different displacement shape
functions for each individual case. An accurate shear correction coefficient for wide flange I and H sections is taken
into account in order to get closer match with exact solutions. Comparative study is undertaken by the use of
proposed beam finite element solutions and 3 dimensional solid finite element analyses in ANSYS. Results indicate
that proposed beam finite element can get fundamental and higher modes of vibration for varying aspect ratios of
wide flange beams and columns.
