Generalized Variability Response Functions for Beam Structures with Stochastic Parameters
Publication: Journal of Engineering Mechanics
Volume 138, Issue 9
Abstract
A Monte Carlo–based methodology is introduced as a generalization of the variability response function (VRF) concept, applicable to both statically determinate and indeterminate beam structures with possibly large stochastic variations of parameters (bending stiffness or flexibility). This new methodology overcomes all limitations associated with the Taylor expansion-based VRFs used in the past. Two generalized VRFs (GVRFs) result from this methodology: a deflection GVRF and a bending moment GVRF. Numerical evidence indicates that these GVRFs are neither unique nor completely independent of the probabilistic characteristics of the random field modeling the variations of the bending flexibility. The GVRFs are found to be mildly sensitive to the non-Gaussian marginal distribution of this field, but are minimally dependent on its spectral density function. Taking advantage of this finding, a fast Monte Carlo–based methodology for estimating representative GVRFs is also introduced, significantly reducing the computational effort.
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Acknowledgments
This paper is based on the doctoral dissertation of the first author. The support of the Department of Civil Engineering and Engineering Mechanics, Columbia University, is gratefully acknowledged.
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Published In
Journal of Engineering Mechanics
Volume 138 • Issue 9 • September 2012
Pages: 1165 - 1185
Copyright
© 2012. American Society of Civil Engineers.
History
Received: Sep 6, 2011
Accepted: Feb 17, 2012
Published online: Feb 21, 2012
Published in print: Sep 1, 2012
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