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Structural analysis with alternative uncertainty models: From data to safety measures

Karuna, K and Manohar, CS (2016) Structural analysis with alternative uncertainty models: From data to safety measures. In: STRUCTURAL SAFETY, 62 . pp. 116-127.

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Official URL: http://dx.doi.org/10.1016/j.strusafe.2016.06.008

Abstract

When adequate empirical data on uncertain variables is lacking, non-probabilistic approaches to quantify uncertainties become appropriate. This study discusses such situations in the context of structural safety assessment. The problem of developing convex function and fuzzy set models for uncertain variables based on limited data and subsequent application in structural safety assessment is considered. Strategies to develop convex set models for limited data based on super-ellipsoids with minimum volume and Natal's transformation based method are proposed. These models are shown to be fairly general (for instance, approximations to interval based models emerge as special cases). Furthermore, the proposed convex functions are mapped to a unit multi-dimensional sphere. This enables the evaluation of a unified measure of safety, defined as the shortest distance from the origin to the limit surface in the transformed standard space, akin to the notion used in defining the Hasofer-Lind reliability index. Also discussed are issues related to safety assessment when mixed uncertainty modeling approach is used. Illustrative examples include safety assessment of an inelastic frame with uncertain properties. (C) 2016 Elsevier Ltd. All rights reserved.

Item Type: Journal Article
Additional Information: Copy right for this article belongs to the ELSEVIER SCIENCE BV, PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS
Department/Centre: Division of Mechanical Sciences > Civil Engineering
Depositing User: Id for Latest eprints
Date Deposited: 22 Oct 2016 09:39
Last Modified: 22 Oct 2016 09:39
URI: http://eprints.iisc.ac.in/id/eprint/55060

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