Dynamic analysis of Bernoulli-Euler beams with interval uncertainties under moving loads

Authors

• Filippo Giunta, Università degli Studi di Messina
• Giuseppe Muscolino, Università degli Studi di Messina
• Alba Sofi, Università degli Studi di Reggio Calabria
• Isaac Elishakoff, Florida Atlantic University

Author Type

Outside Researcher

Co-Author Type 1

Outside Researcher

Co-Author Type 2

Outside Researcher

Co-Author Type 3

Faculty

College

Engineering and Computer Science

Department

Ocean and Mechanical Engineering

Document Type

Conference Proceeding

Publication/Event/Conference Title

Procedia Engineering

Publication Status

Version of Record

Abstract

This paper deals with the dynamic analysis of Bernoulli-Euler beams with uncertain parameters crossed by moving loads. Uncertainties associated with mass density, Young's modulus and load velocity are modeled as interval variables with given lower bounds and upper bounds. In order to evaluate the bounds of the interval displacement of the beam, an efficient procedure based on the use of the classical modal superposition method in conjunction with the improved interval analysis via extra unitary interval is developed. The key idea is to seek the bounds of the response by exploring just a few combinations of the endpoints of the uncertain parameters appropriately selected based on those yielding the minimum and maximum values of the interval natural frequencies.

First Page

2591

Last Page

2596

DOI

10.1016/j.proeng.2017.09.353

Publication Date

1-1-2017

Recommended Citation

Giunta, Filippo; Muscolino, Giuseppe; Sofi, Alba; and Elishakoff, Isaac, "Dynamic analysis of Bernoulli-Euler beams with interval uncertainties under moving loads" (2017). Faculty Scholarship. 289.
https://digitalcommons.fau.edu/faculty_papers/289