E. Talic, A. Schirrer, M. Kozek, S. Jakubek:
"Multi-objective parameter identification of Euler-Bernoulli beams under axial load";
Journal of Sound and Vibration, 341 (2015), S. 86 - 99.

Kurzfassung englisch:
Identification of physical parameters of the partial differential equation describing transverse
vibrations of an axially loaded Euler-Bernoulli beam (EBB) is proposed via a multi-objective
optimization formulation and solved by a genetic algorithm. Conflicting objectives such as performance
and stability are specifically formulated and optimized simultaneously. Stability is quantified in terms
of the solution's time growth factor. Physical parameter sets in the resulting Pareto front
approximation represent best trade-offs with respect to the multiple objectives. To compute output
error performance objectives, the EBB equation is discretized via finite differences in space and time
and reformulated to a state space system. Identifiability is verified by checking regularity of the socalled
Fisher information matrix. The identification methodology is capable of determining material
parameters, including damping, as well as the axial load from few, spatially concentrated
measurements. Its features are demonstrated and successfully validated on specific simulation data
and measurement data obtained from a laboratory test bed.

Identification; Partial Differential Equation; Multi-objective Optimization; Genetic Algorithm

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