Abstract
Through the use of nonpolar viscoelasticity theory, the problem of traveling loads with time dependent magnitude variability is considered. Employing a moving Lagrangian observer, a quadratic form is developed to ascertain potential time dependent magnitude variability induced shifts, bifurcations and wavelength interdependencies in the critical speeds associated with Rayleigh, plane and transverse wave phenomena. In terms of the moving Lagrangian formulation, a solution is developed which enables the characterization of response behavior in the various sub, trans and supercritical speed ranges associated with each of the different wave types. Based on the solution, the results of several numerical experiments are presented. These demonstrate various aspects of the foregoing phenomena.
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