ABSTRACT
The dissipation of energy occurring during cyclic deformation of real structures made of common structural materials due to internal friction may be described within the framework of the linear theory of visco-elasticity. Various constraints are formulated in the theory of visco-elasticity for imposition on the kernels of the integral operators under consideration. In describing physical phenomena in stationary systems, such as internal friction of material, creep and relaxation, the kernels must satisfy at least two conditions—the principle of diminishing memory and closed cycle conditions. Under conditions of weak damping and insignificant effect of the intensity of perturbance on energy dissipation, typical of most conventional materials it is possible to define the system under consideration as a linear and stationary one and the operator K as a linear operator. The general properties of dynamic systems, such as stability, energy absorption during vibrations and physical realisation, determine the specific properties of their transfer and transient functions.
