Some problems with the mathematical modeling of electromagnetic vibrators used for transporting bulk materials

• Autorzy: Chelidze Merab , Zviadauri Victor , Natriashvili Tamaz

Identyfikatory

DOI

10.20858/tp.2022.17.4.05

• Języki publikacji: EN

Abstrakty

EN

Mathematical modeling with the original approach is used to study the dynamics of low-frequency electro-vibration machines while taking the technological load into account. Based on the mathematical analysis of differential equations describing the oscillatory motion of electromagnetic vibration exciters, the existing mathematical model has been corrected to describe the action of a semiconductor diode in the power circuits of single-cycle vibrators. Modeling nonlinear dynamic systems reveals the difficulties of obtaining the amplitude frequency characteristics of the associated discrete change in the frequency of the driving force, as well as ways to overcome them.

Słowa kluczowe

EN

nonlinear systems; electromagnetic vibrator; mathematical simulation; frequency response

PL

układy nieliniowe; wibrator elektromagnetyczny; symulacja matematyczna; odpowiedź częstotliwościowa

• Wydawca: Wydawnictwo Politechniki Śląskiej
• Czasopismo: Transport Problems
• Rocznik: 2022
• Tom: T. 17, z. 4
• Strony: 55--65
• Opis fizyczny: Bibliogr. 10 poz.

Twórcy

autor

Chelidze Merab

• R. Dvali Institute of Machine Mechanics; Mindeli 10, 0186 Tbilisi, Georgia

• https://orcid.org/0000-0001-8246-7533

autor

Zviadauri Victor

• R. Dvali Institute of Machine Mechanics; Mindeli 10, 0186 Tbilisi, Georgia

• https://orcid.org/0000-0001-7299-5770

autor

Natriashvili Tamaz

• R. Dvali Institute of Machine Mechanics; Mindeli 10, 0186 Tbilisi, Georgia

• https://orcid.org/0000-0001-9141-3641

Bibliografia

• 1. Blekhman, I.I. Vibrational Mechanics: Nonlinear Dynamic Effects, General Approach, Applications. World Scientific Publishing Company. 2000. 536 p. ISBN: 9810238908.
• 2. Крюков, Б.И. Динамика вибрационных машин резонансного типа. Киев: Наукова думка. 1967. 210 p. [In Russian: Krukov, B.I. Dynamics of vibration machines of resonant type. Kyiv: Naukova Dumka].
• 3. Zviadauri, V. & Chelidze, M. & Tedoshvili, M. Dynamics of Vibratory Technological and Processes of Movement of the Friable Materials on the Spatially Vibrator in Plane. LAMBERT Academic Publihing. 2021. 147 p.
• 4. Chelidze, M. & Zviadauri, V. Generating of sub harmonic resonant oscillations and problems of their stability. JVE Journal of vibroengeening. 2008. Vol. 10. No. 4. P. 483-486.
• 5. Piskunov, N. Differential and Integral Calculus. Vol. II MIR. Publications Moscow. Translated from Russian by George Yankovsky. 2021.
• 6. Purcells, E.M. & Morin, D.J. Electricity and Magnetism. Cambridge University Press. 2013. 839 p.
• 7. Moliton, A. Basic electromagnetism and materials. Springer-Verlag New York, LLC. New York City. 2007. 430 p. ISBN: 978-0-387-30284-3.
• 8. Despotović, Ž.V. & Jović, M. Mathematical model of electromagnetic vibratory exciter with incremental motion. INFOTEH-JAHORINA. 2014. Vol. 13. P. 91-96.
• 9. Moliton, A. Basic electromagnetism and materials. Springer-Verlag New York, LLC. New York City. 2007. 430 p. ISBN: 978-0-387-30284-3.
• 10. Zviadauri, V. & Tumanishvili, G. & Tsotskhalashvili, M. Mathematical model of complex control of the vibratory transportation and technological process. Journal of Vibroengineering. 2020. Vol. 22. No. 8. P. 1770-1781. DOI: 10.21595/jve.2020.20793.

Uwagi

PL

Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023).