Dissipation of energy of kinematically excited transverse oscillations in materials of elastic systems

We suggest a procedure for the calculation of kinematically excited transverse oscillations of rods with variable cross sections with regard for energy losses in cyclically strained materials. The procedure is based on the application of the asymptotic methods of nonlinear mechanics. We deduce analytic expressions both for the construction of amplitude-frequency characteristics of forced oscillations of the investigated dissipative elastic system and for the determination of the phase shift. These expressions make it possible to analyze the dynamic stressed states of rod-like engineering structures as functions of the parameters of applied loads in the stage of design. Translated from Problemy Prochnosti, No. 5, pp. 58–68, September–October, 1997.