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Unified nonlinear analysis for nonhomogeneous anisotropic beams with closed cross sectionsA unified methodology for geometrically nonlinear analysis of nonhomogeneous, anisotropic beams is presented. A 2D cross-sectional analysis and a nonlinear 1D global deformation analysis are derived from the common framework of a 3D, geometrically nonlinear theory of elasticity. The only restrictions are that the strain and local rotation are small compared to unity and that warping displacements are small relative to the cross-sectional dimensions. It is concluded that the warping solutions can be affected by large deformation and that this could alter the incremental stiffnes of the section. It is shown that sectional constants derived from the published, linear analysis can be used in the present nonlinear, 1D analysis governing the global deformation of the beam, which is based on intrinsic equations for nonlinear beam behavior. Excellent correlation is obtained with published experimental results for both isotropic and anisotropic beams undergoing large deflections.
Document ID
19920028454
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Atilgan, Ali R.
(Georgia Inst. of Tech. Atlanta, GA, United States)
Hodges, Dewey H.
(Georgia Institute of Technology Atlanta, United States)
Date Acquired
August 15, 2013
Publication Date
November 1, 1991
Publication Information
Publication: AIAA Journal
Volume: 29
ISSN: 0001-1452
Subject Category
Structural Mechanics
Accession Number
92A11078
Funding Number(s)
CONTRACT_GRANT: NAG1-1094
CONTRACT_GRANT: DAAL03-88-C-0003
Distribution Limits
Public
Copyright
Other

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