Uncertainty quantification and propagation based on hybrid experimental, theoretical, and computational treatment

Author Type

Faculty

Co-Author Type 1

Outside Researcher

Co-Author Type 2

Outside Researcher

Co-Author Type 3

Outside Researcher

College

Engineering and Computer Science

Department

Ocean and Mechanical Engineering

Document Type

Article

Publication/Event/Conference Title

Mechanical Systems and Signal Processing

Publication Status

Version of Record

Abstract

This paper extends two companion studies (Elishakoff and Sarlin, 2016a,b) into three-dimensional case. Beginning with given scarce experimental data, the method first obtains the convex hull of the experimental data and then enclosing the data by various figures, namely the convex hull, box, parallelepiped, ellipsoid and super-ellipsoid with minimal volume, all containing the data. An inflating Chebyshev's ellipsoid is then calculated based on the data and given probability level. Thus the transformed uncertainty domain is obtained by enlarging the original minimal volume figures based on the so-called ‘Chebyshev's ellipsoid’ so that the specified probability level of uncertainty domain can be ensured. Finally, this method is applied to a ten-bar truss under three uncertain loads for response analysis.

DOI

10.1016/j.ymssp.2020.107058

Publication Date

1-15-2021

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