Damage reconstruction of 3D frames using genetic algorithms with Levenberg–Marquardt local search

Application of rotation rate sensors in an experiment of stiffness ‘reconstruction’

“…The optimization software (see e.g. [7,19]) easily reconstructed stiffness and mass drops in this case. For example for an excitation frequency f p = 4.5 Hz (ω p = 28.3 rad s −1 ) and a beam tip amplitude of displacements equal to 1.5 mm, the WAE errors (equation (6)) and maximum (ME) errors for the above three cases were:…”

“…To improve damage detection or reconstruction, harmonic excitations of structures are often applied (e.g. [17][18][19]). …”

“…For this purpose genetic algorithms and local Levenberg-Marquardt minimization are applied in this paper (see e.g. [19]). …”

“…The fundamental, natural frequency of the tested cantilever beam (with all the sensors attached) was 6.90 Hz, while for the 'damaged' one (with compensated mass loses) it was 6.23 Hz. This was important to know before the experiment started, as the 'reconstruction' method described in sections 2 and 3, by definition, avoids vibrations close to resonances [17][18][19].…”

Variations of Ant Colony Optimization for the Solution of the Structural Damage Identification Problem

“…Thus, both single-solution and population-based strategies have been proposed to localize and quantify structural damages, such as Simulated Annealing [16], Tabu Search [1], Genetic Algorithm [2], Particle Swarm Optimization [21], Ant Colony Optimization [19,26] but also hybrid approaches which combine optimization techniques to achieve better results [15,12].…”