Static Analysis of Timoshenko Beams with Interval Young's Modulus

Author Type

Outside Researcher

Co-Author Type 1

Outside Researcher

Co-Author Type 2

Faculty

Co-Author Type 3

Outside Researcher

College

Engineering and Computer Science

Department

Ocean and Mechanical Engineering

Document Type

Conference Proceeding

Publication/Event/Conference Title

Vulnerability Uncertainty and Risk Quantification Mitigation and Management Proceedings of the 2nd International Conference on Vulnerability and Risk Analysis and Management Icvram 2014 and the 6th International Symposium on Uncertainty Modeling and Analysis Isuma 2014

Publication Status

Version of Record

Abstract

An original procedure for the static analysis of Timoshenko beams with uncertain Young's modulus is presented. Within a non-probabilistic framework, the uncertain material property is modeled as an interval field according to the definition recently introduced by the first two authors. The key idea is to account for the dependency between interval values of the Young's modulus at various locations by means of a deterministic symmetric non-negative function playing the same role of the autocorrelation function in random field theory. After performing a finite difference discretization of the interval ordinary differential equations of equilibrium, approximate closed-form expressions of the bounds of beam response are obtained. For validation purposes, numerical results concerning a simply supported Timoshenko beam are presented.

First Page

2217

Last Page

2226

DOI

10.1061/9780784413609.222

Publication Date

1-1-2014

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