Method of creation a digital twin of a vibration protection process

Abstract

Various approaches to building digital twins are considered. The data-based approach has a big disadvantage due to need of the huge amount of information. The system-based ap-proach can not be used in some cases due to the lack of a mathematically justified method. One of such cases is a ball vibration absorber but they can be really useful for the vibration protection of high-rise flexible objects. The purpose of the research is to develop an algorithmic method of creating digital twins of the vibration protection process, which will provide the possibility of determining the optimal control parameters of the ball vibration absorber. The paper examines small steady oscillations of the dynamic system "supporting body - ball vibration absorber". Under the condition of small forced oscillations, the equation of the amplitude-frequency characteristic of the linear anti-vibration system was obtained. In view of the use in construction, the input and output parameters of the method of building a digital twin of a flexible structure were described and analyzed, as well as the methods of obtaining them. As a result of the evaluation of the speed of the method, a modification of the search way for the optimal parameters of the digital twin was proposed. The comparative analysis showed the high efficiency of the proposed anti-vibration sys-tem with optimally adjusted parameters of the digital twin. The proposed method allows to reduce the maximum value of the amplitude by approximately four times. Modifications of the method made it possible to speed it up by an average of three times, reduce the load on the processor and handle cases when finding the optimal parameters of a digital twin is a rather difficult analytical problem. The input and output parameters of the method and ways of obtaining them were de-scribed and analyzed. A comparative numerical analysis showed the high efficiency of the functioning of such a vibration protection system with optimally adjusted parameters of the ball vibration absorber.