Solving the inverse problem of identification of FE model parameters of a non-uniform beam using genetic algorithms

In an inverse problem، it is desired to construct the model of a system، using the observable characteristics of the system under consideration، so that it can predict the behavior of the system as accurately as possible. In this study، a non-uniform beam is assumed as the structure whose FE model is desired to be updated. The first three natural frequencies and mode shapes of the non-uniform beam are derived analytically and are assumed as the pseudo experimentally-obtained dynamic characteristics of the structure. Then، the mentioned dynamic characteristics are used to solve the inverse problem of identification of finite element model parameters of the non-uniform beam using genetic algorithms. Investigating the effect of the number of cross-sections of the finite element model of a non-uniform beam on the accuracy of the results، it is observed that the more cross-sections the finite element model has، the more capable it is in predicting the dynamic behavior of a non-uniform beam.