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SPATIAL STABILITY ANALYSIS OF THIN‐WALLED SPACE FRAMES
Author(s) -
KIM M.Y.,
CHANG S.P.,
KIM S.B.
Publication year - 1996
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/(sici)1097-0207(19960215)39:3<499::aid-nme867>3.0.co;2-z
Subject(s) - finite element method , displacement field , hermitian matrix , virtual work , space frame , geometry , mathematics , mathematical analysis , bending , rotation (mathematics) , displacement (psychology) , structural engineering , engineering , psychology , pure mathematics , psychotherapist
A clearly consistent finite element formulation for spatial stability analysis of thin‐walled space frames is presented by applying linearized virtual work principle and introducing Vlasov's assumption. The improved displacement field for unsymmetric thin‐walled cross‐sections is introduced based on inclusion of second‐order terms of finite rotations, and the potential energy corresponding to the semitangential moments is consistently derived. In the present formulation, displacement parameters of axial and bending deformations are defined at the centroid axis and parameters of lateral and torsional deformations at the shear centre axis, and all bending‐torsional coupling effects due to unsymmetric cross‐sections are taken into account. For finite element analysis, cubic Hermitian polynomials for the flexural beam with four types of end conditions are utilized as shape functions of Hermitian space frame element. Also, load correction stiffness matrices for off‐axis point loadings are derived based on the second‐order rotation terms. Finite element solutions for the spatial buckling analysis of thin‐walled space frames are compared with available solutions and other researcher's results.