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Title: Frequency analysis of uncertain structures using imprecise probability

Abstract

Two new methods for finite element based frequency analysis of a structure with uncertainty are developed. An imprecise probability formulation based on enveloping p-boxes is used to quantify the uncertainty present in the mechanical characteristics of the structure. For each element, independent variations are considered. Using the two developed methods, P-box Frequency Analysis (PFA) and Interval Monte-Carlo Frequency Analysis (IMFA), sharp bounds on natural circular frequencies at different probability levels are obtained. These methods establish a framework for handling incomplete information in structural dynamics. Numerical example problems are presented that illustrate the capabilities of the new methods along with discussions on their computational efficiency.

Authors:
;
Publication Date:
Research Org.:
Argonne National Lab. (ANL), Argonne, IL (United States)
Sponsoring Org.:
Illinois Institute of Technology
OSTI Identifier:
1391856
DOE Contract Number:
AC02-06CH11357
Resource Type:
Journal Article
Resource Relation:
Journal Name: International Journal of Reliability and Safety; Journal Volume: 9; Journal Issue: 4
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICS AND COMPUTING; Imprecise Probability; P-Box; Structural Dynamics; Uncertainty

Citation Formats

Modares, Mehdi, and Bergerson, Joshua. Frequency analysis of uncertain structures using imprecise probability. United States: N. p., 2015. Web. doi:10.1504/IJRS.2015.073126.
Modares, Mehdi, & Bergerson, Joshua. Frequency analysis of uncertain structures using imprecise probability. United States. doi:10.1504/IJRS.2015.073126.
Modares, Mehdi, and Bergerson, Joshua. Thu . "Frequency analysis of uncertain structures using imprecise probability". United States. doi:10.1504/IJRS.2015.073126.
@article{osti_1391856,
title = {Frequency analysis of uncertain structures using imprecise probability},
author = {Modares, Mehdi and Bergerson, Joshua},
abstractNote = {Two new methods for finite element based frequency analysis of a structure with uncertainty are developed. An imprecise probability formulation based on enveloping p-boxes is used to quantify the uncertainty present in the mechanical characteristics of the structure. For each element, independent variations are considered. Using the two developed methods, P-box Frequency Analysis (PFA) and Interval Monte-Carlo Frequency Analysis (IMFA), sharp bounds on natural circular frequencies at different probability levels are obtained. These methods establish a framework for handling incomplete information in structural dynamics. Numerical example problems are presented that illustrate the capabilities of the new methods along with discussions on their computational efficiency.},
doi = {10.1504/IJRS.2015.073126},
journal = {International Journal of Reliability and Safety},
number = 4,
volume = 9,
place = {United States},
year = {Thu Jan 01 00:00:00 EST 2015},
month = {Thu Jan 01 00:00:00 EST 2015}
}