Sensitivity analysis and optimization of dynamic control parameters for a damped Euler-Bernoulli flexible beam

Volume 18, Issue 2, pp 110--121 https://dx.doi.org/10.22436/jnsa.018.02.04

Publication Date: March 12, 2025 Submission Date: August 25, 2024 Revision Date: January 22, 2025 Accteptance Date: January 24, 2025

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Authors

B. G. Jean-Marc - Université Nangui Abrogoua d’Abobo-Adjamé and UFR Sciences Fondamentales et Appliquées, Ivory Coast.

Abstract

In this work, we propose an integrated method that allows to identify and then optimize the most influential control parameters, according to their directions, for certain classes of damped Euler-Bernoulli flexible beams. The method combines finite element discretization (FEM), sensitivity analysis based on Sobol indices, directional impact by One-at-time (OAT) and advanced optimization algorithms (Genetic Algorithm, Particle Swarm Optimization). This integration, validated by numerical simulations, seems to promote a better rate of decrease in vibrational energy while preserving the exponential stability of the structure.

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Keywords

• Vibrations of beam
• finite element method
• Sobol analysis
• optimization algorithms

MSC

•  74K10
•  74S05
•  65C05
•  90C59

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