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Model-size reduction for the analysis of symmetric structures with asymmetric boundary conditionsA simple computational procedure is presented for reducing the size of the analysis model for a symmetric structure with asymmetric boundary conditions to that of the corresponding structure with symmetric boundary conditions. The procedure is based on approximating the asymmetric response of the structure by a linear combination of symmetric and antisymmetric global approximation vectors (or modes). The key elements of the procedure are (1) restructuring the governing finite-element equations to delineate the contributions to the symmetric and antisymmetric components of the asymmetric response, (2) successive application of the finite element method and the classical Rayleigh-Ritz technique. The finite-element method is first used to generate a few global approximation vectors (or modes). Then the amplitudes of these modes are computed by using the Rayleigh-Ritz technique. The effectiveness of the computational procedure is demonstrated by means of numerical examples of linear static problems of shells, and its potential for solving nonlinear problems is discussed.
Document ID
19870052424
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
External Source(s)
Authors
Noor, Ahmed K.
(NASA Langley Research Center Hampton, VA, United States)
Whitworth, Sandra L.
(NASA Langley Research Center; George Washington University Hampton, VA, United States)
Date Acquired
August 13, 2013
Publication Date
May 1, 1987
Publication Information
Publication: International Journal for Numerical Methods in Engineering
Volume: 24
ISSN: 0029-5981
Subject Category
Structural Mechanics
Accession Number
87A39698
Distribution Limits
Public
Copyright
Other

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