Model Distance–Based Global–Local Response-Sensitivity Indexes for Randomly Inhomogeneous Structures under Stochastic Excitations
Publication: ASCE-ASME Journal of Risk and Uncertainty in Engineering Systems, Part A: Civil Engineering
Volume 4, Issue 3
Abstract
Linear engineering skeletal structures with spatially varying random stiffness and mass properties, acted upon by a set of random vibratory loads, are considered in this paper. The focus of the study is on characterizing the global–local response sensitivity indexes for this class of structures by taking into account dependency among system parameters and/or forcing functions. This is achieved by extending the recently developed tools for modeling the sensitivity indexes based on various definitions of probability distance measures to problems involving stochastic inhomogeneities. The study allows for the non-Gaussian nature of stochastic variations and employs Monte Carlo simulation strategies and stochastic finite-element modeling tools. The spatially varying random properties are discretized using the optimal linear expansion methods. Illustrative examples include studies on single-span beams under the combined action of a train of random moving masses and earthquake support motions, and randomly parameterized skeletal structures under biaxial earthquake support motions.
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Acknowledgments
The work reported in this study has been financially supported by funding from the Board of Research in Nuclear Sciences (BRNS) (Grant No. 2012/36/35-BRNS/1628), Department of Atomic Energy, Government of India. We thank the anonymous reviewers for helpful comments. The phrase global–local response sensitivity indexes was suggested by one of the reviewers.
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©2018 American Society of Civil Engineers.
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Received: May 11, 2017
Accepted: Dec 19, 2017
Published online: May 26, 2018
Published in print: Sep 1, 2018
Discussion open until: Oct 26, 2018
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