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Analysis of complex elastic structures by a Rayleigh-Ritz component modes method using Lagrange multipliersThe free vibrations of elastic structures of arbitrary complexity were analyzed in terms of their component modes. The method was based upon the use of the normal unconstrained modes of the components in a Rayleigh-Ritz analysis. The continuity conditions were enforced by means of Lagrange Multipliers. Examples of the structures considered are: (1) beams with nonuniform properties; (2) airplane structures with high or low aspect ratio lifting surface components; (3) the oblique wing airplane; and (4) plate structures. The method was also applied to the analysis of modal damping of linear elastic structures. Convergence of the method versus the number of modes per component and/or the number of components is discussed and compared to more conventional approaches, ad-hoc methods, and experimental results.
Document ID
19740022216
Acquisition Source
Legacy CDMS
Document Type
Thesis/Dissertation
Authors
Klein, L. R. (Princeton Univ. NJ, United States)
Date Acquired
September 3, 2013
Publication Date
April 1, 1974
Subject Category
Structural Mechanics
Report/Patent Number
AMS-1159
NASA-CR-138942
Accession Number
74N30329
Funding Number(s)
CONTRACT_GRANT: NGL-31-001-146
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.

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