Stability Of Nonlinear Vibrations Of Plate With Dynamic Absorber Under Kinematic Excitations

Abstract

In this article is about the study of stability of nonlinear vibrational motion of a plate under the influence of kinematic excitation with a dynamic absorber. Elastic dissipative properties of hysteresis type material of plate and dynamic absorbing element materials are based on the Pisarenko-Boginich hypothesis [1]. Stability conditions of the vibrations of plate were obtained and numerical calculations were performed to determine the borders and fields of stability for different values of the system parameters, and analytical conclusions were given.