Dynamics of uniaxial tension of a viscoelastic strain-hardening body in a system with one degree of freedom. Part 2. Action of external forces

Abstract

We analyze the motion of a mechanical dissipative system containing a viscoelastic strain-hardening body with one degree of freedom under the action of an external tensile force depending on its controlling parameters and initial loading conditions. We construct periodic and aperiodic solutions of a nonautonomous third-order dynamical system taking into account transient processes of motion from the initial state. It is shown that the transient process of motion of the system is realized either as forced damped oscillations responsible for its acoustic activity or as an aperiodic process of damping. We also consider transient dynamic processes in a viscoelastic Maxwell body subjected to static loading in the case where strain hardening is absent.