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Computational Aspects of Sensitivity Calculations in Linear Transient Structural AnalysisA study has been performed focusing on the calculation of sensitivities of displacements, velocities, accelerations, and stresses in linear, structural, transient response problems. One significant goal was to develop and evaluate sensitivity calculation techniques suitable for large-order finite element analyses. Accordingly, approximation vectors such as vibration mode shapes are used to reduce the dimensionality of the finite element model. Much of the research focused on the accuracy of both response quantities and sensitivities as a function of number of vectors used. Two types of sensitivity calculation techniques were developed and evaluated. The first type of technique is an overall finite difference method where the analysis is repeated for perturbed designs. The second type of technique is termed semianalytical because it involves direct, analytical differentiation of the equations of motion with finite difference approximation of the coefficient matrices. To be computationally practical in large-order problems, the overall finite difference methods must use the approximation vectors from the original design in the analyses of the perturbed models.
Document ID
19900002011
Acquisition Source
Legacy CDMS
Document Type
Thesis/Dissertation
Authors
Greene, William H. (Virginia Polytechnic Inst. and State Univ. Blacksburg, VA, United States)
Date Acquired
September 6, 2013
Publication Date
August 1, 1989
Subject Category
Structural Mechanics
Accession Number
90N11327
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.

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