Periodic response of viscoelastic laminated cylindrical panels using shooting technique

The forced vibration characteristics and damping behavior of viscoelastic laminated composite cylindrical panels are investigated using the finite element formulation based on first-order shear deformation theory and the generalized Maxwell viscoelastic model. The recursive relations are formulated to evaluate the solution at the current time step utilizing only the solution from the previous time step. The formulation is validated against published literature and the finite element package ANSYS, showing excellent agreement of natural frequencies, frequency response curves, and transient response. The periodic steady-state response is obtained in the time domain using Newmark’s time integration method coupled with the shooting technique. A detailed parametric study examines the influence of lamination scheme, aspect ratio, boundary conditions, and number of layers on the dynamic response under uniformly distributed harmonic excitation. The frequency response characteristics depend on the interplay between stiffness and damping. The configurations with lower ω2ζ product are found to yield higher amplitudes and vice versa. The deformed shapes corresponding to multiple resonance peaks illustrate the dominant participation of different modes. The significant difference is found in the response characteristics of cylindrical panels and flat plates.