Active dynamic damping of vibrations of a mechanical system with a finite number of degrees of freedom

Abstract

Increased machine efficiency, increased speeds of working bodies, reduced material consumption, increased load, the need to ensure reliable operation of equipment and safe working conditions are the main factors, that determine attention to vibration protection problems. This constitutes the current trend in the modern dynamics of machines. In this work, we propose a method for the dynamic synthesis of dynamic vibration dampers of a viscoelastic mechanical system having the structure of several (two) bodies elastically attached to the object. The aim of the work is to develop methods of mathematical and computer modeling of the processes of dynamics of active and passive vibration protection systems, as well as to increase the efficiency of using passive and active vibration protection of objects. When developing a system for protecting radio-electronic devices (RED) at resonant frequencies, elements of the theory of automatic control and mathematical modeling were used. An algorithm for generating feedback signals for the information-measuring system for active control of vibration-protective radio-electronic devices is proposed. A method is developed for numerically - analytical study of oscillatory processes of nonlinear mechanical systems consisting of spatial rigid bodies interconnected by massless viscoelastic elements.