An energy residual method for detection of the causes of vibration hypersensitivity

This work deals with hypersensitive vibration behavior of plates. The aim of the proposed method is to detect structural zones inducing such behavior. It is based on a residual calculation, which takes into account structural uncertainties, and has a low numerical cost since it requires only the resolution of the problem for the nominal structure. Then, this solution is used to calculate energy residuals on different parts of perturbed structures in order to detect which zones will produce an hypersensitive behavior. The basis of the method is first developed on a simple problem, a rod, and then applied to a typical hypersensitive structure, a plates network. Finally, one can show that the proposed tool is able to detect which zones of the plates network are responsible for hypersensitive behavior.