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Dynamic aspects of the error in eccentric beam modelling
Author(s) -
Miller Robert E.
Publication year - 1980
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/nme.1620151003
Subject(s) - finite element method , deflection (physics) , eccentric , vibration , beam (structure) , structural engineering , mathematics , engineering , physics , classical mechanics , acoustics
The usual linear shape function for approximating axial displacements in beam finite elements used as eccentric stiffeners or as portions of composite cross‐sections, leads to an error in the static deflection. A modified element reduces this error. The behaviour of these two elements under free vibration is examined. The linear element is shown to be in considerable error in the dynamic case also.