Eliseev S.V., Trofimov A.N., Bolshakov R.S. Machine vibrations and dynamics: design schemes, structures and mathematical models. Part II

Machine vibrations and dynamics: design schemes, structures and mathematical models. Part II

Eliseev S.V., Trofimov A.N., Bolshakov R.S.

The paper considers the issues concerning the methodological basis for the tasks of designing mathematical models of dynamical processes in machines, equipment and apparatus interacting with the active external environment. Part I of the paper presents the generalization results of the current situation, as well as a number of statements about the future course of development in the context of vibration protection for technical facilities. The other part of the paper aims at figuring out a number of new definitions which arise in generalizing the methods of mathematical modeling for mechanical vibratory systems. A mathematical model can be represented by a structural analog of differential linear equations when considering dynamics tasks of technical facilities related to developing the ways   and means of vibration protection. Therefore, a mechanical vibratory system can be considered as an equivalent automation control system.
Keywords: mechanical vibratory systems, the ways and means of vibration protection, elemental links, structural schemes.

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«Engineering industry and life safety» №3 (21), 2014. Pages: 59-68

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Eliseev Sergey Viktorovich – Professor, Irkutsk State University of Railway Transport, Irkutsk, Russia. E-mail: eliseev_s@inbox.ru

Trofimov Andrey Narjevich – PhD, Irkutsk State University of Railway Transport, Irkutsk, Russia. E-mail: trofimov_an@irgups.ru

Bolshakov Roman Sergeevich – Junior Researcher, Irkutsk State University of Railway Transport, Irkutsk, Russia. E-mail: bolshakov_rs@mail.ru