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Design sensitivity derivatives for isoparametric elements by analytical and semi-analytical approachesThis paper presents an analytical approach for incorporating design sensitivity calculations directly into the finite element analysis. The formulation depends on the implicit differentiation approach and requires few additional calculations to obtain the design sensitivity derivatives. In order to evaluate this approach, it is compared with the semi-analytical approach which is based on commonly used finite difference formulations. Both approaches are implemented to calculate the design sensitivities for continuum and structural isoparametric elements. To demonstrate the accuracy and robustness of the developed analytical approach compared to the semi-analytical approach, some test cases using different structural and continuum element types are presented.
Document ID
19940004745
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Authors
Zumwalt, Kenneth W.
(Missouri Univ. Columbia, MO, United States)
El-Sayed, Mohamed E. M.
(Missouri Univ. Columbia, MO, United States)
Date Acquired
August 16, 2013
Publication Date
January 1, 1990
Publication Information
Publication: NASA. Langley Research Center, The Third Air Force(NASA Symposium on Recent Advances in Multidisciplinary Analysis and Optimization
Subject Category
Numerical Analysis
Accession Number
94N71500
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.
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