Abstract: Based on virtual work principle, a new modeling method for sandwich plates with viscoelastic core is presented. This method is developed using laminated theory. The damping of viscoelastic properties is modeled by the Golla-Hughes-Mc- Tavish (GHM) method and the frequency dependent behavior of the viscoelastic Material is described through the dissipation coordinates. Moreover, linear quadratic regulator (LQR) is explored for the active constrained plate. The effectiveness of this method validated by numerical model. This method can reduce degrees of freedom adequately and improve accuracy, compare to conventional finite element method.

Key words: Constrained layer damping, Finite element, Sandwich plate, Viscoelastic, Cutting forces, End milling of curved geometries, Oblique cutting process, The minimum energy principle