Peculiarities of Structural Mathematical Modeling Method

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Copyright: 2026
Pages: 46
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.ch002

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

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Abstract

Methods of evaluating the dynamic state of mechanical oscillatory systems and the possibility of changing their dynamic characteristics are investigated. Particular attention is paid to the search for new approaches to the development of protective systems against vibrations, based on the use of structural interpretations of mathematical models of systems. A method for determining static and dynamic reactions based on transformations of the initial structural model of an oscillatory system is proposed. The idea of the method is that an elastic element in an oscillatory system is considered as a feedback circuit for an object making periodic movements relative to static equilibrium. Methodological bases of reaction determination method using Dalembert principle are considered. The idea of constructing compact systems including standard links, lever mechanisms and other devices forming a quasi-element or a system of quasi-elements interacting according to the rules of structural transformations is proposed.

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Peculiarities of Structural Mathematical Modeling Method

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