Analysis of dynamic characteristics of selected pneumatic systems with rractional calculus. simulation and laboratory research

• Autorzy: Luft M. , Krzysztoszek K. , Pietruszczak D. , Nowocień A.

Identyfikatory

DOI

10.12716/1001.15.04.16

• Języki publikacji: EN

Abstrakty

EN

The section of the paper on simulation studies presents the application of fractional calculus to describe the dynamics of pneumatic systems. In the construction of mathematical models of the analysed dynamic systems, the Riemann-Liouville definition of differ-integral of non-integer order was used. For the analysed model, transfer function of integer and non-integer order was determined. Functions describing characteristics in time and frequency domains were determined, whereas the characteristics of the analysed systems were obtained by means of computer simulation. MATLAB were used for the simulation research. The section of the paper on laboratory research presents the results of the laboratory tests of the injection system of the internal combustion engine with special attention to the verification of simulated tests of selected pneumatic systems described with the use of fractional calculus.

Słowa kluczowe

EN

pneumatic Systems; vessel's dynamic characteristics; dynamic characteristics; fractional calculus; Riemann-Liouville Definition; laboratory research; simulation study; Matlab

• Wydawca: Faculty of Navigation, Gdynia Maritime University
• Czasopismo: TransNav : International Journal on Marine Navigation and Safety of Sea Transportation
• Rocznik: 2021
• Tom: Vol. 15 No. 4
• Strony: 835--843
• Opis fizyczny: Bibliogr. 16 poz., rys., tab.

Twórcy

autor

Luft M.

• Kazimierz Pulaski University of Technology and Humanities in Radom, Radom, Poland

autor

Krzysztoszek K.

• Kazimierz Pulaski University of Technology and Humanities in Radom, Radom, Poland

autor

Pietruszczak D.

• Kazimierz Pulaski University of Technology and Humanities in Radom, Radom, Poland

autor

Nowocień A.

• Complex of Electronic Schools in Radom, Radom, Poland

Bibliografia

• 1. Caponetto, R., Dongola, G., Fortuna, L., Petráš, I.: Fractional Order Systems. World Scientific (2010). https://doi.org/10.1142/7709.
• 2. Diethelm, K.: The Analysis of Fractional Differential Equations: An Application-Oriented Exposition Using Differential Operators of Caputo Type. Springer-Verlag, Berlin Heidelberg (2010). https://doi.org/10.1007/978-3-642-14574-2.
• 3. Kaczorek, T.: Selected Problems of Fractional Systems Theory. Springer-Verlag, Berlin Heidelberg (2011). https://doi.org/10.1007/978-3-642-20502-6.
• 4. Luft, M., Łukasik, Z., Pietruszczak, D.: Analysis of dynamic characteristics of selected pneumatic systems with fractional calculus used in telematics. Archives of Transport System Telematics. 11, 4, 37–44 (2018).
• 5. Luft, M., Nowocień, A., Pietruszczak, D.: Analiza właściwości dynamicznych wybranych układów pneumatycznych za pomocą rachunku różniczkowego niecałkowitych rzędów. Cz. 1, Badania symulacyjne. atest. 18, 12, 1050–1055 (2017).
• 6. Luft, M., Nowocień, A., Pietruszczak, D.: Analiza właściwości dynamicznych wybranych układów pneumatycznych za pomocą rachunku różniczkowego niecałkowitych rzędów. Cz. 2, Badania laboratoryjne. atest. 18, 12, 1056–1060 (2017).
• 7. Luft, M., Nowocień, A., Pietruszczak, D.: Modele matematyczne kaskady pneumatycznej oraz membranowego siłownika pneumatycznego opisane rachunkiem różniczkowym niecałkowitych rzędów. atest. 19, 12, 526–531 (2018). https://doi.org/10.24136/atest.2018.444.
• 8. Luft, M., Nowocień, A., Pietruszczak, D.: Właściwości dynamiczne wybranych podstawowych członów automatyki niecałkowitych rzędów. atest. 19, 12, 1056–1060 (2018). https://doi.org/10.24136/atest.2018.443.
• 9. Luft, M., Nowocień, A., Pietruszczak, D., Lisak, A., Chamela, W.: Frequency response of the pressure transducer model described by the fractional order differential equation. TTS. 12, 128–132 (2016).
• 10. Ostalczyk, P.: Zarys rachunku różniczkowo-całkowego ułamkowych rzędów : teoria i zastosowania w automatyce. Wydawnictwo Politechnika Łódzka (2008).
• 11. Pietruszczak, D.: Laboratory investigations of dynamic properties of accelerometers with fractional orders for application in telematic equipment. Archives of Transport System Telematics. 5, 2, 26–31 (2012).
• 12. Pietruszczak, D., Luft, M., Lesiak, P.: Some applications of fractional calculus in modelling of accelerometer and pressure transducer. Zeszyty Naukowe Wydziału Elektrotechniki i Automatyki Politechniki Gdańskiej. 47, (2015).
• 13. Pietruszczak, D., Nowocień, A.: Description of selected pneumatic elements and systems using fractional calculus. jaeee. 1, 1, 43–49 (2019). https://doi.org/10.24136/jaeee.2019.006.
• 14. Podlubny, I.: Fractional Differential Equations. An Introduction to Fractional Derivatives, Fractional Differential Equations, Some Methods of Their Solution and Some of Their Applications. Academic Press (1998).
• 15. Sabatier, J., Agrawal, O.P., Machado, J.A.T. eds: Advances in Fractional Calculus: Theoretical Developments and Applications in Physics and Engineering. Springer Netherlands (2007). https://doi.org/10.1007/978-1-4020-6042-7.
• 16. Samko, S.G., Kilbas, A.A., Marichev, O.I.: Fractional Integrals and Derivatives: Theory and Applications. CRC Press (1993).

Uwagi

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2021).