Vibrations of a plate with an attached two degree of freedom system

This note deals with a theoretical analysis of the dynamical behavior of a system made up of a plate with a two degree of freedom (2-dof) system elastically mounted. This study was performed by means of an analytical model based on Lagrange's multipliers. The results are verified with the values obtained using FEM. The analysis is of interest from both academic and technological viewpoints. The case of a plate structure supporting a 2-dof system has not been previously considered in the technical literature using the Lagrange's multipliers approach. This system can be considered as a dynamic absorber.