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Finite‐element model sensitivity in the vibration of partially embedded beams
Author(s) -
West Roger P.,
Pavlović Milija N.
Publication year - 1999
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(19990210)44:4<517::aid-nme515>3.0.co;2-5
Subject(s) - finite element method , cluster analysis , modal , sensitivity (control systems) , vibration , discretization , modal analysis , finite element limit analysis , structural engineering , extended finite element method , mathematics , mathematical analysis , physics , computer science , engineering , materials science , acoustics , artificial intelligence , electronic engineering , polymer chemistry
Beams partially embedded in a Winkler foundation can exhibit the phenomenon of modal clustering. In this paper, a conventional finite‐element package is used in the comparison of the natural frequencies of such beams as calculated using a discretized finite‐element model and as computed from a closed‐form exact solution. The sensitivity of finite‐element models of varying degrees of refinement in predicting the incidence of modal clustering is discussed. It is shown that, in crude models, the clustering of modes is predicted accurately but other modes, even the lowest ones, can be unacceptably distorted. In very crude models, the finite‐element analysis may fail altogether in identifying the modal‐clustering phenomenon. Copyright © 1999 John Wiley & Sons, Ltd.