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Efficient identification of critical stresses in structures subject to dynamic loadsOptimum structural design problems generally employ constraints which are parametric in terms of space and time variables. A parametric constraint may be replaced by equivalent critical point constraints at its local minima for optimization applications. In complex structures, accurate identification of such critical points is computationally expensive due to the cost of finite element analyses. Three techniques are described for efficiently and accurately identifying critical points for space- and time-dependent parametric constraints. An adaptive search technique and a spline interpolation technique are developed for exactly known response. A least squares spline approximation is suggested for noisy behavior. A helicopter tail-boom structure subjected to transient loading is used as an example to demonstrate the techniques described. All three techniques are shown to be computationally efficient for critical point identification and the least squares approximation also removes noise from the data. The case of multiple constraints per element is shown to be particularly suited to the use of spline techniques.
Document ID
19860041944
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Haftka, R. T.
(Virginia Polytechnic Inst. and State Univ. Blacksburg, VA, United States)
Watson, L. T.
(Virginia Polytechnic Institute and State University Blacksburg, United States)
Grandhi, R. V.
(Virginia Polytechnic Inst. and State Univ. Blacksburg, VA, United States)
Date Acquired
August 12, 2013
Publication Date
January 1, 1986
Publication Information
Publication: Computers and Structures
Volume: 22
Issue: 3 19
ISSN: 0045-7949
Subject Category
Structural Mechanics
Accession Number
86A26682
Funding Number(s)
CONTRACT_GRANT: NSF MCS-82-07217
CONTRACT_GRANT: NAG1-224
Distribution Limits
Public
Copyright
Other

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