Eliseev A. V., Eliseev S. V., Sizykh V. N. Osobennosti dinamicheskikh svoistv diady v podkhodakh s pozitsii mezomekhaniki [Peculiarities of dynamic properties of a dyad in approaches from the perspectives of mezomechanics]. Sovremennye tekhnologii. Sistemnyi analiz. Modelirovanie [Modern Technologies. System Analysis. Modeling], 2019. Vol. 62, No. 2, pp. 23–33. DOI: 10.26731/1813-9108.2019.2(62).23–33
10.26731/1813-9108.2019.2(62).23–33
The article considers the main abstract theorems of the scientific approach that makes it possible to evaluate the dynamic properties of mechanical oscillatory systems, which include special structural formations. These types of formations from typical elements are called dyads and are used in mathematical modeling of objects, whose computational schemes are displayed by structures, including vibrational ones, which provides for identifying new dynamic properties and effects. The authors develop methodological viewpoints, which create the possibility of description and formation of the dynamic properties of dyads as the structure-forming fundamental elements of mechanical oscillatory systems. The purpose of the work is to elaborate a method of developing mathematical models to estimate dynamic states formed by the initial conditions of the motion specification, provided that the characteristic points of the distribution of oscillation amplitudes exist in the form of “oscillation nodes” in the mode of shockless oscillations of mass-inertial elements of the system. With this aim in view, methods of structural mathematical modeling are used. The paper shows the possibilities of creating modes that exclude the effects of the contact of elements under certain initial conditions for the excitation of free oscillations. Analytical relationships have been obtained that determine the implementability of the proposed modes. The article provides the results of computational modeling; a conclusion has been drawn up on possible directions for the development of a spectrum of dynamic properties. The authors show the implementability of dynamic states, in which mass-inertial elements of the dyad in their movements ensure manifestations of characteristic conditionally fixed points. They propose the possibilities of changing the dynamic properties of the dyad by introducing additional constraints implemented by mass-inertial elements of various types, including motion translation devices.
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