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

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.