A new linear elastodynamic solution to boundary eigenvalue problem of flexural vibration of viscoelastic layered and homogeneous bands

A new linear elastodynamics formnulation together with a solution to the eigenvalue problem for viscoelastic bands both clamped and simply supported and consisting of any number of high-strength; fibrous and stiffness-comparable layers have been developed. New boundary clamping conditions have been introduced. On the basis of numerical results, obtained after solving a non-conventional numerical problem resulting from the formulation, for both simply supported (three- and two-layer) and clamped (homogeneous) bands, an accuracy and usefulness of the solution developed is shown.