A two scale method for modulated vibration modes of large, nearly repetitive, structures
El Mostafa Daya, Khalid Jeblaoui, Michel Potier‐Ferry · Comptes Rendus Mécanique · 2003
Nearly repetitive structures can present at least two kinds of vibration modes: localized modes and modulated ones. In this Note, the multiple scale method is applied to characterize a packet of modulated modes. In this respect, only small size problems are to be solved: periodic problems posed on a few basic cells and amplitude equations, which define a sort of homogenized model for this type of modes. It is established that the influence of the non-repetitive part of the structure is accounted by a boundary condition.