| A spectral finite element model is developed to describe the propagation of flexural waves in cylindrical shells treated with Active Constrained Layer Damping treatments. The model is formulated in the frequency domain using dynamic shape functions that capture the exact displacement distributions of the active constrained layer damping treatment. In this manner, a small number of elements is needed to accurately model the wave propagation dynamics particularly in shells with discontinuities and partial treatments. The accuracy of the spectral finite element model is determined in comparison with the exact solutions and experimental results obtained for rods, beams and shells which are treated, either fully or partially, with the active constrained layer damping treatment.; The developed spectral finite element model can be an invaluable tool for designing a wide variety of quiet and stable shells such as aircraft fuselages and hulls of underwater vessels. |
