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A quasi-Newton versus a homotopy method for nonlinear structural analysisThe globally convergent quasi-Newton minimization algorithm and the homotopy algorithms are discussed in detail and their effectiveness in solving certain classes of highly nonlinear problems of structural analysis is demonstrated. The application of the double dogleg strategy controls the directions and step-lengths of the quasi-Newtonian algorithm and overcomes the problem of nonpositive definite Hessians being produced during the iteration process. The algorithms are applied to a centrally loaded clamped beam, the snap-through of a shallow arch, and a shallow reticulated dome.
Document ID
19830055342
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Kamat, M. P.
(Virginia Polytechnic Inst. and State Univ. Blacksburg, VA, United States)
Watson, L. T.
(Virginia Polytechnic Institute and State University Blacksburg, VA, United States)
Venkayya, V. B.
(USAF, Flight Dynamics Laboratory, Wright-Patterson AFB OH, United States)
Date Acquired
August 11, 2013
Publication Date
January 1, 1983
Publication Information
Publication: Computers and Structures
Volume: 17
Issue: 4 19
ISSN: 0045-7949
Subject Category
Structural Mechanics
Accession Number
83A36560
Funding Number(s)
CONTRACT_GRANT: NAG1-139
Distribution Limits
Public
Copyright
Other

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