Abstract
The article presents a frame of a systematic approach to assessment, control, and formation of dynamic states based on the concept of level ties of elements of technical objects subjected to connected vibrational loadings. The methodological basis of the study comprises structural mathematical modeling that allows for a comparison of mechanical oscillatory systems, which are used as computational models for tech-nical objects, with structural schemes of automated operating systems that are equivalent to dynamic relations. A level interpretation of total generalized dynamic states is designed for mechanical oscillatory systems created with solid body with three degrees of freedom. Their significant features are reflected in the number of reso-nances, modes of oscillation amplitude setting to zero, and definite form of dynamic interactions. Based on the level ties, a system of general concepts is developed to depict the role of connection of vibrational loadings in creating border dynamic states of mechanical oscillatory systems. The results consist of analytical equations, graphical images, and numerical experiments.
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