Abstract
We analyze the motion of an open mechanical system with one degree of freedom used as a model of uniaxial tension of a viscoelastic strain-hardening body in a machine with hydraulic drive creating a variable force and, at the same time, playing the role of a damping element. It is shown that a nonautonomous fourth-order dynamical system with stable periodic or aperiodic solutions (depending on its control parameters) may serve as a model of the transient processes of motion in the analyzed system. Due to a significant decrease in the viscous resistance of the system caused by the presence of the hydraulic drive, the aperiodic attenuation is typical of the transient process. It is shown that systems with hydraulic elements differ fundamentally from mechanical systems without elements of this sort.
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