Vector form intrinsic finite element analysis based on fine beam model
Chen Chong, Yuan Xingfei, Duan Yuanfeng and Qian Ruojun
DOI:10.11835/j.issn.1674-4764.2015.02.001
Received October 11, 2014,Revised , Accepted , Available online June 25, 2015
Volume ,2015,Pages 1-7
- Abstract
The proposed fine beam model is different from that of Euler beam and Timoshenko beam. Some effects were considered in the new model such as shear displacement，the additional axial displacement produced by lateral bending and the additional transverse displacement produced by reduced stiffness due to transverse shear deformation. The formula of strain and internal force of the fine beam model，applied to Vector Form Intrinsic Finite Element (VFIFE) analysis，were derived and corresponding programs were developed by Fortran language. Cantilever beam，both ends clamped beam and portal frame are analyzed and the vertical displacements were compared using different beam element models. Numerical results showed that when the depth-span ratio was relatively small，the vertical displacements obtained by different beam model had slight difference. When the depth-span ratio was larger，the vertical displacement obtained by the fine beam model was obviously larger than that obtained by the Euler beam and Timoshenko beam. Therefore，the shear displacement，the additional axial displacement and the additional transverse displacement caused by stiffness reduction should not be ignored when the deep beam was analyzed. The new beam model proposed in this paper demonstrated more accurate results when the beam had a large depth-span ratio.