ABSTRACT
A number of researchers have attempted to develop hereditary models of internal friction whose kernel ensure weak frequency dependence of absolute losses in a fairly wide frequency range. Such a possibility was first demonstrated by Rzhanitsyn, who established that the creep kernel proposed by him provided a constant area of hysteresis loop in a fairly wide frequency range. This chapter provides the properties of the important integral operators of hereditary elasticity and internal friction, which may serve as models of frequency-independent absolute damping. The incompatibility between the causative principle and the principle of frequency-independent absolute losses arises from the fact that the internal friction model which satisfies both principles has unrestricted compliance at all frequencies. Linear operators of hereditary elasticity, together with different kernel parameters, can describe the elastic and damping properties of bodies with various forms of frequency dependence. The chapter analyses the important hereditary models used for describing internal friction.
