Dynamics of mechanical action on materials. X. Hydraulic loading of a system

Abstract

The movement of an open mechanical system with one degree of freedom modelling uniaxial tension of a viscoelastic strain hardenable body in a machine with a hydraulic drive that generates a variable force and is simultaneously a damping element of the system is analyzed. It is demonstrated that transient movement of the system in question corresponds to a fourth order non-autonomous dynamic system that has stable periodic and aperiodic solutions in relation to its control parameters. In view of a marked decrease in viscous resistance of the system caused by the presence of a hydraulic drive aperiodic damping is typical for the transient process. It is shown that a system with a hydraulic element differs markedly from a system that does not contain such an element.