Stiffness Matrix of Thin-Walled Open Bar Subject to Bending, Bending Torsion and Shift of Cross Section Middle Surface

[摘要] One of the main stages in the analysis of complex 3D structures and engineering constructions made of thin-walled open bars using FEM is a stiffness matrix developing. Taking into account middle surface shear deformation caused by the work of tangential stresses in the formula to calculate a potential energy of thin-walled open bars, the authors obtain an important correction at calculation of the bar deformation and fundamental frequencies. The results of the analysis of the free end buckling of a cantilever H-bar under plane bending differ from exact solution by 0.53%. In the course of comparison of the obtained results with the cantilever bar buckling regardless the middle surface shear deformation, an increase made 16.6%. The stiffness matrix of a thin-walled open bar developed in the present work can be integrated into any software suite using FEM for the analysis of complex 3-D structures and engineering constructions with n-freedoms.

[发布机构] Engineering and Technology of Land Transport, Astrakhan State Technical University, Tatischeva St., 16, Astrakhan; 414056, Russia^1;Industrial and Civil Construction, Astrakhan State University of Civil Engineering, Tatischeva St., 18, Astrakhan; 414056, Russia^2

[学科分类] 土木及结构工程学

[关键词] 3D structures;Bar deformation;Bending-torsion;Engineering constructions;Exact solution;Fundamental frequencies;Software suite;Tangential stress