Chen Chanhong, Huang Ying, Shan Jian. THE FINITE ELEMENT MODEL STUDY ON THE PRE- TWISTED EULER BEAM[J]. INDUSTRIAL CONSTRUCTION, 2012, 42(5): 94-97. doi: 10.13204/j.gyjz2011205017
Citation:
Chen Chanhong, Huang Ying, Shan Jian. THE FINITE ELEMENT MODEL STUDY ON THE PRE- TWISTED EULER BEAM[J]. INDUSTRIAL CONSTRUCTION, 2012, 42(5): 94-97. doi: 10.13204/j.gyjz2011205017
Chen Chanhong, Huang Ying, Shan Jian. THE FINITE ELEMENT MODEL STUDY ON THE PRE- TWISTED EULER BEAM[J]. INDUSTRIAL CONSTRUCTION, 2012, 42(5): 94-97. doi: 10.13204/j.gyjz2011205017
Citation:
Chen Chanhong, Huang Ying, Shan Jian. THE FINITE ELEMENT MODEL STUDY ON THE PRE- TWISTED EULER BEAM[J]. INDUSTRIAL CONSTRUCTION, 2012, 42(5): 94-97. doi: 10.13204/j.gyjz2011205017
Based on the traditional mechanical model of straight beam,the paper makes a systematic analysis and research on the pre-twisted Euler beam finite element numerical model.The paper uses two-node model of 12 degrees of freedom,axial displacement interpolation function using 2-node Lagrange interpolation function,beam transverse bending displacements (u and v) still use the cubic displacement,bending with torsion angle displacement function using cubic polynomial displacement function.Firstly,based on the author previous literature on the flexure strain relationship,the paper deduces the element stiffness matrix of the pre-twisted beam.Finally,by calculating the pre- twisted rectangle section beam example,and contrasting three-dimensional solid finite element using ANSYS,the comparative analysis results show that pre-twisted Euler beam element stiffness matrix has good accuracy.
[7] E Petrov,M Geradin. Finite Element Theory for Curved and Twisted Beams Based on Exact Solutions for Three Dimensional Solids[J]. Part 1: Beam Concept and Geometrically Exact Nonlinear Formulation,Part 2: Anisotropic and Advanced Beam Models,Computer Methods in Applied Mechanics and Engineering,1998,(165): 43-127.