Структурне моделювання демпферної системи методом графів зв’язку

The construction and analysis of the equations of the control system in the space of the state vector x is called the state space method. The modern theory of vibration protection systems is based on the concept of state space. Vibration protection systems use not only mechanical, but also other electronic, thermal, and hydraulic methods of energy conversion: such conversions are almost always carried out on one object. Due to these circumstances, the concept of state requires the expansion and use of such a set of variable states that its elements are universally adapted for use in various cases. Thus, this approach is based on topological representations of the continuity of energy change and conversion. This concept is the most modern and is the basis of a special modeling language using connection graph methods. The role of adaptive dampers, which can change their characteristics, is significant in modern mechanical engineering and construction. In turn, the graph model allows you to quickly change the structure of dampers and study the influence of parameters on the dynamics of the system. The method of the language of communication graphs allows obtaining matrix equations of vibration protection systems in the state space, in the form of state and observation equations. This approach makes it possible to consider many different types of vibration protection systems with a dynamic damper, including in a nonlinear formulation, as well as with controlled characteristics of the fluid element. The paper considers the modeling of vibration protection systems that have a dynamic vibration damper. The main assumptions necessary for the construction of a vibration protection system with a dynamic vibration damper are formulated. Nonlinear inertia and resistance functions are derived, which will provide the possibility of modeling the described features of the internal motion of the fluid in . A communication graph is constructed for the nonlinear formulation of the problem. The state equation and observation equation are compiled.