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Frequency analysis of uncertain structures using imprecise probability

Journal Article · · International Journal of Reliability and Safety
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.
Research Organization:
Argonne National Laboratory (ANL)
Sponsoring Organization:
Illinois Institute of Technology
DOE Contract Number:
AC02-06CH11357
OSTI ID:
1391856
Journal Information:
International Journal of Reliability and Safety, Journal Name: International Journal of Reliability and Safety Journal Issue: 4 Vol. 9; ISSN 1479-389X
Country of Publication:
United States
Language:
English

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