Sharp Bounds for Natural Frequencies of Beams with Uncertain Spring Coefficients

Authors

• Isaac Elishakoff, Florida Atlantic University
• Baptiste Ducreux, French Institute for Advanced Mechanics
• Nicolas Yvain, SIGMA Clermont

Author Type

Faculty

Co-Author Type 1

Outside Researcher

Co-Author Type 2

Outside Researcher

Co-Author Type 3

Outside Researcher

College

Engineering and Computer Science

Department

Ocean and Mechanical Engineering

Document Type

Article

Publication/Event/Conference Title

AIAA Journal

Publication Status

Version of Record

Abstract

In this paper, we deal with both the static and dynamic behavior of uniform beams with uncertain boundary conditions. Uncertainty in spring constants is modeled as intervals, with specified lower and upper bounds. It is demonstrated that the classical interval analysis may lead to overestimation in the natural frequencies. A method is suggested to overcome the overestimation and obtain sharp bounds.

First Page

4623

Last Page

4631

DOI

10.2514/1.J062871

Publication Date

1-1-2023

Recommended Citation

Elishakoff, Isaac; Ducreux, Baptiste; and Yvain, Nicolas, "Sharp Bounds for Natural Frequencies of Beams with Uncertain Spring Coefficients" (2023). Faculty Scholarship. 185.
https://digitalcommons.fau.edu/faculty_papers/185