Dyads as Mass Structures

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Copyright: 2026
Pages: 54
Source title: Mathematical Modeling in Machine Transport Dynamics
Source Author(s)/Editor(s): Andrey Vladimirovich Eliseev (Irkutsk State Transport University, Russia)and Nikolay Konstantinovich Kuznetsov (Irkutsk National Research Technical University, Russia)
DOI: 10.4018/979-8-3373-0447-2.ch006

Keywords: Engineering Science Reference / Mechanical Engineering / Science & Engineering / Transportation Studies

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Abstract

A methodological basis is being developed for building mathematical models of dyads - autonomous structural formations from two mass-inertial elements. A feature of the dyad is the possibility of elastic interaction of elements and their isolated movements.Possibilities of estimation of dynamic properties of dyad on mathematical models in two coordinate systems are investigated. method is proposed to determine parameters of dyad motion based on introduction of transfer function and frequency of energy function. Using different coordinate systems allows you to identify new dynamic effects triggered by new dynamic links. These relationships form inertial and inertial-elastic type dependencies. The concept of dyads and the features of their interactions can become the basis for new methods of analysis and dynamic synthesis in the theory of mechanical oscillations and nanomechanics.

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