Dynamic analysis, active and passive vibration control of double-layer hourglass lattice truss structures

Abstract

Although single-layer sandwich materials have been extensively studied in the engineering field, multilayered sandwich structures have rarely been concerned, especially on their dynamic analysis or vibration control. In this study, the dynamics of a double-layer hourglass sandwich beam is investigated by an improved method developed to simplify the calculations. The active vibration control is also analyzed. By using Hamilton’s principle, the governing equations are derived and the natural frequencies are calculated by our improved method. The results have been validated by comparing with the data obtained by traditional method, and finite element method. The contributions of both structural and material parameters on the dynamics of the double-layer sandwich beam are also investigated. The velocity feedback control method is employed to act as controllers on vibration suppressing of the sandwich structure actively. Further, nonlinear energy sink is used to control the vibration of the sandwich structure passively.