System Representations of Dynamics of Mechanical Oscillatory Structures Based on Frequency Function and Damping Function

Abstract

AbstractThe issues of assessing the dynamic properties of structural formations were considered in a number of works; interesting results were obtained, which predetermined the interest in assessing the features of dynamic interactions, when structural formations are included in the structure of real systems interacting with the base or motion limiters. The oscillation of a system with several degrees of freedom is considered from the point of view of identifying structural formations and taking into account the features of their interactions. It is proposed to consider a mechanical oscillatory system with the allocation of an object in the form of a structural formation. The frequency function, the damping function, and the parametrizing function are considered as mathematical tools for taking into account the dynamic properties of structural formations. Made the transition from a task object, the dynamic properties of which are characterized by their own numbers in the form of a concentrated mass, to the task of assessment of interaction of elements of vibrating systems with several degrees of freedom with the object in the form of the structures dynamic and structural properties resulting in an estimated frequency response function, damping function, and parametrizing function.KeywordsMechanical systemOscillatory structureStructural formationDynamic connectionsFrequency functionDamping functionMotion connectivityExtreme propertiesOscillationViscous frictionMotion transformation device