The problem of mathematical modeling of a vibration protected rod under kinematic exitations

Abstract

Abstract In this paper, we consider the problem of mathematical modeling of nonlinear vibrations of a rod with distributed parameters and elastic-dissipative characteristics of the hysteresis type, and also having a liquid section dynamic absorber under kinematic excitations. The method of obtaining the differential equations of motion of the system protected from vibrations under consideration in the work using the structural method -the method of bond graph. An expression is obtained for the transfer function of a vibration-protective system for analyzing the dynamics and stability of the system and evaluating the effectiveness of a dynamic absorber.