On the Stability of the Angular Stabilization System of the Rotating Rod under Longitudinal Acceleration

摘要

The influence of the longitudinal acceleration on the stability of a discrete-continuous model of a single-channel angular stabilization system for the elastic rotating rod with the retarded argument is studied. Methods for the construction of asymptotic stability regions and analysis of impulse response functions of the hybrid dynamic system under consideration are developed. The equations of motion of this system are analyzed based on numerical methods and methods of asymptotic integration. Critical values of the longitudinal acceleration are found.