Modeling of dissipation of vibration energy in problems of structural dynamics

This paper has proposed a model that reflects process of energy dissipation in dynamic oscillatory systems. According to the hereditary theory viscoelasticity, relationship between stress and strain is realized an integral form. At same time, weakly singular kernel heredity simultaneously describes both internal friction deformation aftereffects (creep relaxation). Application developed shown through description free forced vibrations dissipative mechanical A new opportunity can optimize damping properties materials vibrating structures, which important solving problem introducing materials. In mechanics, approach was proposed, consists fact by knowing rheological parameters material, one find coefficients directly without resorting experiment.