A number of theoretical problems are discovered in the application of degenerated models in punching process of ballistic shields. Insufficient knowledge of dynamic behaviours of these models based on non-linear complex constitutive materials or combination of mixed rheological Maxwell models with linear elastic elements or dissipative is the main reason of the problems. In the engineering application with the influence of rheological forces the element of mass responsible for force ofinertia in dynamic loads is always applied. Taking the forces into consideration in dynamic analysis the degenerated system is necessary to use. It is also utilitarian goal of materiał properties identification in punching process with the use ofparticle mass (projectile). In this paper, the authors present further results ofresearch in this area. Suppression and dispersion of energy is the crucial phenomena in the punching process of ballistic shields with the use of small arms. Therefore the research presented in the paper concerns systems based on viscotic damping with the dry friction parameter (h). As a result ofthe research influence of h parameter on time and frequency characteristics under impact stress was estimated. Analytic calculations and simulations of the examination were validated by experimental test and measurements. With the basis on the results the final conclusions were formulated.