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Frequency analysis of uncertain structures using imprecise probability

Author

Listed:
  • Mehdi Modares
  • Joshua Bergerson

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.

Suggested Citation

  • Mehdi Modares & Joshua Bergerson, 2015. "Frequency analysis of uncertain structures using imprecise probability," International Journal of Reliability and Safety, Inderscience Enterprises Ltd, vol. 9(4), pages 235-254.
    • Handle: RePEc:ids:ijrsaf:v:9:y:2015:i:4:p:235-254
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