ABSTRACT
Classical models of visco-elastic resistance are the simplest models in which the damping force is described, analogous to the damping mechanism in a viscous fluid, by the first derivative of strain or displacement with respect to time. In fact, Stokes had already proposed a mathematical theory in 1845 in which he suggested that the viscosity in solids depended only on shear strain, assuming that volumetric strain resulted in a self-balancing system of internal friction forces. The classical models also include the Voight, Maxwell and standard linear body (SLB) models and their various modifications in which the viscous and elastic elements can be linked in all possible combinations. Among the classical models of visco-elastic resistance in the theory of vibrations, the Voight model is the most prevalent one. The frequency dependence of internal friction described by the Voight model, renders it unsuitable for use in dynamic analysis of structures and constructions.
