Forced vibration response characteristics of periodic rectangular plate structures based on the dynamic stiffness method

Forced vibration response characteristics of periodic rectangular plate structures with general boundary conditions are studied by using the dynamic stiffness method. Geometrical property is assumed to vary periodically in the whole plate structure. Both of the dynamic stiffness matrices of in-plane and out-of-plane vibration of the unit plate are derived. Once the dynamic stiffness matrix of the unit plate is obtained, the dynamic stiffness matrix of the whole periodic structure will be assembled in a similar manner with the finite element method. Harmonic responses are calculated to investigate the band gap behaviours of the periodic plate structures. Parametric studies are implemented to investigate the effects of the geometrical parameters on the vibration band gap characteristics.