Frequency analysis of uncertain structures using imprecise probability

Mehdi Modares and Joshua Bergerson

International Journal of Reliability and Safety, 2015, vol. 9, issue 4, 235-254

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.

Keywords: structural dynamics; uncertainty; imprecise probability; p-box; interval Monte-Carlo; frequency analysis; uncertain structures; finite element analysis; FEA. (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:ids:ijrsaf:v:9:y:2015:i:4:p:235-254

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