Nonlinear mathematical model of the five-container vibration system

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dc.citation.epage18
dc.citation.issue3
dc.citation.journalTitleУкраїнський журнал із машинобудування і матеріалознавства
dc.citation.spage10
dc.contributor.affiliationLviv Polytechnic National University
dc.contributor.authorRebot, Dariia
dc.contributor.authorTopilnytskyy, Volodymyr
dc.coverage.placenameЛьвів
dc.coverage.placenameLviv
dc.date.accessioned2023-09-15T06:49:29Z
dc.date.available2023-09-15T06:49:29Z
dc.date.created2022-02-22
dc.date.issued2022-02-22
dc.description.abstractThe construction of a non-linear mathematical model of movement and interaction of the commanding and executive components of vibration systems is an important task. It implements vibration technologies of separation, grinding, mixing, compaction, transportation, surface product processing and technology for regulating the vibration effect on systems and mechanisms for their further research to increase the efficiency of vibrating machines, devices, and mechanisms and relevant technological processes. The article presents a generalized diagram of a five-container vibration system. On its basis, a mathematical model was developed, which in the future will make it possible to research the effectiveness of vibration machines, devices, and mechanisms. The calculation scheme of the system and the methods of nonlinear mechanics were used to build the mathematical model. The obtained mathematical model makes it possible to determine the horizontal and vertical components of the amplitude of any point of the containers of the vibration system. This will make it possible to investigate the influence of different modes of operation of the system on the amplitude and nature of vibrations of the containers, in particular, established regimes, influence reversing of the drive, the influence of the processing environment of the containers of the vibration system, influence processed parts.
dc.format.extent10-18
dc.format.pages9
dc.identifier.citationRebot D. Nonlinear mathematical model of the five-container vibration system / Dariia Rebot, Volodymyr Topilnytskyy // Ukrainian Journal of Mechanical Engineering and Materials Science. — Lviv : Lviv Politechnic Publishing House, 2022. — Vol 8. — No 3. — P. 10–18.
dc.identifier.citationenRebot D. Nonlinear mathematical model of the five-container vibration system / Dariia Rebot, Volodymyr Topilnytskyy // Ukrainian Journal of Mechanical Engineering and Materials Science. — Lviv : Lviv Politechnic Publishing House, 2022. — Vol 8. — No 3. — P. 10–18.
dc.identifier.doidoi.org/10.23939/ujmems2022.03.010
dc.identifier.urihttps://ena.lpnu.ua/handle/ntb/60091
dc.language.isoen
dc.publisherВидавництво Львівської політехніки
dc.publisherLviv Politechnic Publishing House
dc.relation.ispartofУкраїнський журнал із машинобудування і матеріалознавства, 3 (8), 2022
dc.relation.ispartofUkrainian Journal of Mechanical Engineering and Materials Science, 3 (8), 2022
dc.relation.references[1] Subach A. P. Dynamyka protsessov y mashyn objemnoi obrabotky, Ryha: Zynatne, 1991. 240 s. [In Russian].
dc.relation.references[2] Opirskyi B. Ya., Denysov P. D. Novye vybratsyonnye stanky, konstruyrovanye y raschet, Lviv: Svit, 1991, 158 s. [in Russian].
dc.relation.references[3] Boholiubov N. H., Mytropolskyi Yu. A. Asymptotycheskye metody v teoryy nelyneinykh kolebanyi. Yzd. 4-e. M.: Fyzmatyz, 1974. 501 s. [in Russian].
dc.relation.references[4] Stotsko Z. A., Sokil B. I., Topilnytskiy V. H. Intensification of processes of strengtening machine parts by volumetric vibration treatment, III International Conference Transport Systems Telematics TST’03, 13–15 November 2003, Katowice – Ustron, Poland, s. 73, 493–504.
dc.relation.references[5] Stotsko Z. A., Rebot D. P. (2014) Vplyv dynamiky ryhy sypkogo seredovyshcha na prodyktyvnist’ vibraciynych separatoriv. Naykovyi ghyrnal Technologichni Kompleksy 1(9), 150–153. [in Ukrainian]
dc.relation.references[6] Stotsko Z. A., Diveiev B. M., Sokil B. I., Topilnytskyi V. H. Matematychni modeli keruvannia vibroaktyvnistiu tekhnolohichnykh mashyn, Mashynoznavstvo Vol 2, 2005, st. 37–42. [in Ukrainian]
dc.relation.references[7] Junpeng Qiao and other (2018). Research on screening mechanism and parameters optimization of equal thickness screen with variable amplitude based on DEM simulation. Powder Technology. Vol. 331. 15. P. 296–309. https://doi.org/10.1016/j.powtec.2018.03.031
dc.relation.referencesen[1] Subach A. P. Dynamyka protsessov y mashyn objemnoi obrabotky, Ryha: Zynatne, 1991. 240 s. [In Russian].
dc.relation.referencesen[2] Opirskyi B. Ya., Denysov P. D. Novye vybratsyonnye stanky, konstruyrovanye y raschet, Lviv: Svit, 1991, 158 s. [in Russian].
dc.relation.referencesen[3] Boholiubov N. H., Mytropolskyi Yu. A. Asymptotycheskye metody v teoryy nelyneinykh kolebanyi. Yzd. 4-e. M., Fyzmatyz, 1974. 501 s. [in Russian].
dc.relation.referencesen[4] Stotsko Z. A., Sokil B. I., Topilnytskiy V. H. Intensification of processes of strengtening machine parts by volumetric vibration treatment, III International Conference Transport Systems Telematics TST’03, 13–15 November 2003, Katowice – Ustron, Poland, s. 73, 493–504.
dc.relation.referencesen[5] Stotsko Z. A., Rebot D. P. (2014) Vplyv dynamiky ryhy sypkogo seredovyshcha na prodyktyvnist’ vibraciynych separatoriv. Naykovyi ghyrnal Technologichni Kompleksy 1(9), 150–153. [in Ukrainian]
dc.relation.referencesen[6] Stotsko Z. A., Diveiev B. M., Sokil B. I., Topilnytskyi V. H. Matematychni modeli keruvannia vibroaktyvnistiu tekhnolohichnykh mashyn, Mashynoznavstvo Vol 2, 2005, st. 37–42. [in Ukrainian]
dc.relation.referencesen[7] Junpeng Qiao and other (2018). Research on screening mechanism and parameters optimization of equal thickness screen with variable amplitude based on DEM simulation. Powder Technology. Vol. 331. 15. P. 296–309. https://doi.org/10.1016/j.powtec.2018.03.031
dc.relation.urihttps://doi.org/10.1016/j.powtec.2018.03.031
dc.rights.holder© Національний університет “Львівська політехніка”, 2022
dc.rights.holder© Rebot D., Topilnytskyy V., 2022
dc.subjectamplitude
dc.subjectvibration system
dc.subjectmathematical model
dc.subjectenvironment
dc.subjectgeneralized scheme
dc.subjectmovement
dc.titleNonlinear mathematical model of the five-container vibration system
dc.typeArticle

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Ukrainian Journal of Mechanical Engineering and Materials Science. – 2022. – Vol. 8, No. 3