Finite Dynamic Elements and Modal Analysis

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 incl...

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Main Authors: N.J. Fergusson, W.D. Pilkey
Format: Article
Language:English
Published: Wiley 1993-01-01
Series:Shock and Vibration
Online Access:http://dx.doi.org/10.3233/SAV-1993-1208
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author N.J. Fergusson
W.D. Pilkey
author_facet N.J. Fergusson
W.D. Pilkey
author_sort N.J. Fergusson
collection DOAJ
description 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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series Shock and Vibration
spelling doaj-art-10f89963e2544ea8843f349ea33eaad42025-08-20T03:55:45ZengWileyShock and Vibration1070-96221875-92031993-01-011217117610.3233/SAV-1993-1208Finite Dynamic Elements and Modal AnalysisN.J. Fergusson0W.D. Pilkey1Department of Mechanical and Aerospace Engineering, University of Virginia, Charlottesville, VA 22901, USADepartment of Mechanical and Aerospace Engineering, University of Virginia, Charlottesville, VA 22901, USAA 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.http://dx.doi.org/10.3233/SAV-1993-1208
spellingShingle N.J. Fergusson
W.D. Pilkey
Finite Dynamic Elements and Modal Analysis
Shock and Vibration
title Finite Dynamic Elements and Modal Analysis
title_full Finite Dynamic Elements and Modal Analysis
title_fullStr Finite Dynamic Elements and Modal Analysis
title_full_unstemmed Finite Dynamic Elements and Modal Analysis
title_short Finite Dynamic Elements and Modal Analysis
title_sort finite dynamic elements and modal analysis
url http://dx.doi.org/10.3233/SAV-1993-1208
work_keys_str_mv AT njfergusson finitedynamicelementsandmodalanalysis
AT wdpilkey finitedynamicelementsandmodalanalysis