Taking damping into account in the problems of structural dynamics is an important and nontrivial problem. Its complexity is primarily determined by the required specification of correct characteristics of the materials used and the choice of a model suitable for analysis. We consider some models of viscoelastic materials as regards the possibility of applying these models in harmonic analysis of damping properties of various materials in the linear range of elastic strains. The proposed analysis is based on the use of parameters of viscoelastic materials, which are specified as coefficients of a differential equation of small forced vibrations. It is shown that the models considered here are characterized by different frequency dependences of parameters of materials being simulated. This makes it possible to combine a model with frequency dependences of its parameters close to the frequency characteristics of parameters of viscoelastic materials under investigation.