Modified constitutive relation error identification strategy for transient dynamics with corrupted data: The elastic case Original Research Article

In this paper, we present an identification strategy for transient dynamic tests with corrupted data and its first development for the identification of elastic properties. This method is based on the modified constitutive relation error principle, which was initially introduced for model updating in vibration analysis. The governing principle of the method consists in splitting the equations of the problem into two groups, a “reliable” group and an “uncertain” group, and defining mechanical fields which verify the equations of the reliable group exactly and those of the uncertain group only approximately. Then, these fields are used to estimate the quality of the model to be identified. We tested our method on various examples and found it to be very robust with respect to high levels of perturbations. Furthermore, we show that this good performance is due to the fact that the method takes into account all the experimental data in a single calculation and introduces a distance between the measurements and the calculation. We also propose an alternative strategy dedicated to cases where there is no a priori knowledge of the perturbations.