NONLOCAL IN TIME MODEL OF THE LONGITUDINAL VIBRATIONS OF THE HIGH-DAMPING STEEL ROD ELEMENT

Abstract

The paper is devoted to the modeling of longitudinal vibrations of a 01Yu5T damping steel rod, taking into account the typical features of the material damping. A brief review of the various damping alloys is given, as well as a brief review of the models of frequency-independent and amplitude-dependent internal friction, theoretically applicable to describe the damping capacity of steel 01Y5T. Considered rod is represented in the article as a one-degree-of-freedom system. The model of its longitudinal vibrations, accounting for the internal friction, is based on the principals of nonlocal mechanics: the impact of the previous history of deformation on the current state of the system is taken into account. The IV order Runge-Kutta method was used to solve the equation of motion. The impact of the nonlocal scale parameter on the material damping in terms of the considered model is shown on the basis of the simulation of the rod free oscillation. The calibration of the nonlocal in time model of rod vibrations based on experimental data was performed using the least squares method. The results of the forced vibrations modeling under the stochastic load for an element made of 01Y5T steel, taking into account amplitude-dependent damping, are presented in comparison with the results obtained for a steel with a constant level of internal friction.

Keywords

• high-damping alloys, damping steel, rod vibrations, material damping, amplitude-dependent damping, nonlocal mechanics