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Finite Dynamic Elements and Modal Analysis
Author(s) -
N.J. Fergusson,
W. D. Pilkey
Publication year - 1993
Publication title -
shock and vibration
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.418
H-Index - 45
eISSN - 1875-9203
pISSN - 1070-9622
DOI - 10.1155/1993/975327
Subject(s) - finite element method , structural dynamics , modal analysis using fem , modal , modal analysis , displacement (psychology) , stiffness matrix , cantilever , structural engineering , mass matrix , stiffness , static analysis , matrix (chemical analysis) , direct stiffness method , modal testing , dynamic problem , mathematical analysis , mathematics , engineering , physics , algorithm , materials science , psychology , composite material , neutrino , nuclear physics , polymer chemistry , psychotherapist
A general modal analysis scheme is derived for forced response that makes use of high accuracy modes computed by the dynamic element method. The new procedure differs from the usual modal analysis in that the modes are obtained from a power series expansion for the dynamic stiffness matrix that includes an extra dynamic correction term in addition to the static stiffness matrix and the consistent mass matrix based on static displacement. A cantilevered beam example is used to demonstrate the relative accuracies of the dynamic element and the traditional finite element methods.

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