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HIGH‐ORDER ELEMENT FOR PREBUCKLING AND BUCKLING ANALYSIS OF LAMINATED PLANE FRAMES
Author(s) -
SHEINMAN I.,
EISENBERGER M.,
BERNSTEIN Y.
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(19960715)39:13<2155::aid-nme948>3.0.co;2-h
Subject(s) - buckling , isotropy , structural engineering , finite element method , parametric statistics , stiffness , stiffness matrix , kinematics , shear wall , mathematics , mathematical analysis , engineering , physics , classical mechanics , statistics , quantum mechanics
A new high‐order element for prebuckling and buckling of any laminated plane frame is developed. The kinematic approach involves a variety of high‐order models with different powers of the thickness co‐ordinate, and the derived stiffness matrix is based on a special power series, without a numerical process. It yields an exact formulation for high‐order (first) models and improved formulations for higher‐order (second and third) ones. A parametric study of the ‘locking’ phenomenon and the shear deformation effects was carried out for isotropic and laminated structures. It was found that the first‐order model with an appropriate shear correction factor yielded results close to its higher‐order counterparts.