Please use this identifier to cite or link to this item: https://sci.ldubgd.edu.ua/jspui/handle/123456789/8497
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dc.contributor.authorТацій, Роман Мар'янович-
dc.contributor.authorКарабин, Оксана Олександрівна-
dc.contributor.authorChmyr, Oksana-
dc.contributor.authorМалець, Ігор Остапович-
dc.contributor.authorСмотр, Ольга Олексіївна-
dc.date.accessioned2021-09-18T11:38:03Z-
dc.date.available2021-09-18T11:38:03Z-
dc.date.issued2021-
dc.identifier.citationTatsij Roman. General Scheme of Modeling of Longitudinal Oscillations in Horizontal Rods / Roman Tatsij, Oksana Karabyn, Oksana Chmyr, Igor Malets, Olga Smotr // Lecture Notes on Data Engineering and Communications Technologies, ISDMCI 2021, LNDECT 77, Springer,– Vol. 77, 2021. pp. 789-802. https://doi.org/10.1007/978-3-030-82014-5_54en_US
dc.identifier.issn2367-4512-
dc.identifier.issn2367-4520 (electronic)-
dc.identifier.urihttp://sci.ldubgd.edu.ua:8080/jspui/handle/123456789/8497-
dc.description.abstractIn this paper, we present the results of modeling nonstationary oscillatory processes in rods consisting of an arbitrary number of pieces.When modeling oscillatory processes that occur in many technical objects (automotive shafts, rods) an important role is played by finding the amplitude and frequency of oscillations. Solving oscillatory problems is associated with various difficulties. Such difficulties are a consequence of the application of methods of operation calculus and methods of approximate calculations. Themethod ofmodeling of oscillatory processes offered in work is executed without application of operational methods and methods of approximate calculations. The method of oscillation process modeling proposed in this paper is a universal method. The work is based on the concept of quasi-derivatives. Applying the concept of quasi-derivatives helps to avoid the problem ofmultiplication of generalized functions. Analytical formulas for describing oscillatory processes in rods consisting of an arbitrary number of pieces are obtained. It can be applied in cases where pieces of rods consist of different materials, and also when in places of joints the masses are concentrated. The proposed method allows the use of computational software. An example of constructing eigenvalues and eigenfunctions for a rod consisting of two pieces is given.en_US
dc.language.isoenen_US
dc.publisherSpringer Nature Switzerland AG.en_US
dc.relation.ispartofseries77;-
dc.subjectKvazidifferential equationen_US
dc.subjectThe boundary value problemen_US
dc.subjectThe cauchy matrixen_US
dc.subjectThe eigenvalues problemen_US
dc.subjectThe method of fourier and the method of eigenfunctionsen_US
dc.titleGeneral Scheme of Modeling of Longitudinal Oscillations in Horizontal Rodsen_US
dc.typeArticleen_US
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