Sensitivity Analysis for Displacement-Controlled Finite-Element Analyses
Publication: Journal of Structural Engineering
Volume 144, Issue 3
Abstract
Displacement-controlled finite-element analyses are typically employed to simulate the nonlinear static response of structural systems where a loss of load carrying capacity due to localized material failure and/or geometric nonlinearity is expected. To utilize applications such as reliability, optimization, and system identification for structural systems where the peak load capacity is a random variable or where the performance function is defined in terms of the applied load, accurate and efficient gradients of the displacement-controlled response are required. The direct differentiation method (DDM) is applied to the displacement control method in order to compute response sensitivity with respect to the applied load, which is treated as a variable within each pseudotime step. The resulting sensitivity gives the change in structural load carrying capacity with respect to changes in uncertain parameters. To verify the derived sensitivity equations, comparisons between the DDM and the finite-difference method (FDM) are performed through standalone sensitivity analyses of structural systems with material and geometric nonlinearity. Reliability analyses of a steel frame show the importance measures obtained when the performance function is defined in terms of the structural resistance to applied loads in a displacement-controlled analysis are similar to those obtained in a load-controlled analysis where the performance function is defined in terms of the structural displacements.
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Acknowledgments
This research was made possible through the support of the Higher Committee for Education Development (HCED) in Iraq. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the authors and do not necessarily reflect the views of the HCED.
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Information
Published In
Journal of Structural Engineering
Volume 144 • Issue 3 • March 2018
Copyright
©2017 American Society of Civil Engineers.
History
Received: Jan 30, 2017
Accepted: Sep 6, 2017
Published online: Dec 26, 2017
Published in print: Mar 1, 2018
Discussion open until: May 26, 2018
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