Overcoming overestimation characteristic to classical interval analysis

Author Type

Faculty

Co-Author Type 1

Faculty

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

AIAA Journal

Publication Status

Version of Record

Abstract

Interval analysis is a widespread tool of analyzing uncertainty in mechanical and aerospace systems. The method was developed by mathematicians since 1960 to get bounds on rounding error and measurement errors in mathematical evaluation of expressions to develop numerical methods with reliable, guaranteed methods. Two cases were considered for the parameterized analysis. One related to fully dependent intervals, mimicking the case of special, functionally graded materials; and other related to intervals describing material distribution being independent of the rest of the parameters, but fully dependent of each other. It turns out that, in the latter case, the derived bounds are broader than in the former case. Both cases of parameterized treatment are associated with higher efficacy than the classical version of interval analysis. It should be noted that some other methods have been suggested in the literature to overcome the phenomenon of overestimation.

First Page

2093

Last Page

2097

DOI

10.2514/1.J053152

Publication Date

1-1-2014

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