Abstract
Introduction. The possibilities of creating new approaches to the evaluation of the dynamic properties of mechanical oscillation systems are considered. The research objective is to develop a method for constructing mathematical models of mechanical oscillatory systems with several degrees of freedom based on the concepts of system-forming fundamental capabilities of dyads as certain structural formations that determine features of the states of the initial system as a whole. Materials and Methods. Approaches and techniques of the structural mathematical modeling are used, within which a mechanically oscillating system is compared with a dynamically equivalent structural diagram of an automatic control system. Estimation of the dynamic properties and introduced additional couplings is based on the application of transfer functions, amplitude-frequency characteristics, and frequency analysis technologies. Research Results. The changeability of the dynamic system properties through introducing additional constraints that realize the transformation of states in the interactions of elements on the basis of double differentiation effects is proved. The possibilities of changes that can be initiated by devices for converting motion are shown. Discussion and Conclusions. A technique for building mathematical models of dyads, and a technology for estimating their dynamic properties are developed. Physically realizable schemes of the design engineering solutions based on motion translation devices are proposed.
Highlights
The possibilities of creating new approaches to the evaluation of the dynamic properties of mechanical oscillation systems are considered
The research objective is to develop a method for constructing mathematical models of mechanical oscillatory systems with several degrees of freedom based on the concepts of system-forming fundamental capabilities of dyads as certain structural formations that determine features of the states of the initial system as a whole
Estimation of the dynamic properties and introduced additional couplings is based on the application of transfer functions, amplitudefrequency characteristics, and frequency analysis technologies
Summary
Устройства для преобразования движения в структуре диады механической колебательной системы. 1,3 Иркутский государственный университет путей сообщения, Российская Федерация 2 Красноярский институт железнодорожного транспорта Иркутского государственного университета путей сообщения, Российская Федерация
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