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Estimation of Wave Properties of a Lightly Damped Beam with a Real-Coded Genetic Algorithm

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A method is presented to estimate the flexural wave number and wave amplitudes in lightly damped beams with the combination of wave decomposition technique and optimization algorithm. The determination of the wave number is regarded as a nonlinear optimization problem in which a real-coded genetic algorithm is used. The fitness function for the genetic algorithm is derived based on the minimizing of the errors between the estimated and measured responses. After the derivation of the complex wave number, the wave amplitudes can be estimated using wave decomposition method, in which the responses at a few evenly spaced locations are used. In comparison to existing approaches, the method generally requires far fewer measurement locations and does not depend on beam boundary conditions. An experimental test is carried out with a beam excited by a shaker and the results are compared with theoretical predictions. It is shown that high-accuracy estimation for the wave properties can be obtained for lightly damped beams.


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Affiliations: 1: School of Mechanics, Civil Engineering and Architecture, Northwestern Polytechnical University, Xi'an 710072, China


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