In this paper the Semi-Analytical Finite Element (SAFE) method for modeling guided wave propagation is extended to account for linear viscoelastic material damping. Linear viscoelasticity is introduced by allowing for complex stiffness constitutive matrices for the material. Dispersive characteristics of viscoelastic waveguides, such as phase velocity, attenuation, energy velocity and cross-sec...

This study aims to investigate the unsteady boundary-layer flow of a viscoelastic non-Newtonian fluid over a flat surface. The plate is suddenly jerked to move with uniform velocity in a uniform stream of non-Newtonian fluid. Purely analytic solution to governing nonlinear equation is obtained. The solution is highly accurate and valid for all values of the dimensionless time 0 ≤ τ < ∞. Flow pr...

This paper investigates the parametric stability of an axially moving web subjected to non-uniform in-plane edge excitations on two opposite, simply-supported edges. The web is modeled as a viscoelastic plate whose constitutive relation obeys the Kelvin-Voigt model, and the in-plane edge excitations are expressed as the sum of a static tension and a periodical perturbation. Due to the in-plane ...

The usefulness of theoretical research results in design depends to a large extent upon their generality and simplicity. For this reason, closed-form solutions are presented in this paper for a number of plate bending problems, these being: (1) a sector cut from an annular plate, loaded along its straight edges; and (2) a semi-infinite plate or a circular plate subjected to concentrated moments...

Free asymmetric transverse vibration of a polar orthotropic thin annular plate with parabolically varying thickness in radial direction have been computed on the basis of classical plate theory considering both the peripheries of the plate elastically restrained against translation and rotation. The fourth order linear differential equation with variable coefficients governing the motion in the...