Energy residuals localization and efficiency comparison
Résumé
Energy residuals are useful in structural dynamics, since they can be used in several situations to estimate the way an approximate solution suits to the model of the structure. They have been historically used for model updating, and more recently to localize areas in a given structure that induce hypersensitive behavior. The choice of the energy residual expression is a crucial point of these methods, since among all available expressions, some have good localization properties and/or good hierarchization properties. Theses points are discussed in the article on an beam structure in order to compare several indicators expressions. An extension from modal energy residuals to global ones is also proposed in order to consider forced vibrations, since the basic formulation is only related to modal behavior.