Analytical and numerical analysis of injection pump (stepped) shaft vibrations using timoshenko theory

• Autorzy: Noga Stanisław , Rejman Edward , Bałon Paweł , Kiełbasa Bartłomiej , Smusz Robert , Szostak Janusz

Identyfikatory

DOI

10.2478/ama-2022-0026

• Języki publikacji: EN

Abstrakty

EN

The free transverse vibrations of shafts with complex geometry are studied using analytical methods and numerical simulations. A methodology is proposed for evaluating the results of a natural transverse vibration analysis as generated by finite element (FE) models of a shaft with compound geometry. The effectiveness of the suggested approach is tested using an arbitrarily chosen model of the injection pump shaft. The required analytical models of the transverse vibrations of stepped shafts are derived based on the Timoshenko thick beam theory. The separation of variables method is used to find the needed solutions to the free vibrations. The eigenvalue problem is formulated and solved by using the FE representation for the shaft and for each shaft-simplified model. The results for these models are discussed and compared. Additionally, the usefulness of the Myklestad–Prohl (MP) method in the field of preliminary analysis of transverse vibration of complex shaft systems is indicated. It is important to note that the solutions proposed in this paper could be useful for engineers dealing with the dynamics of various types of machine shafts with low values of operating speeds.

Słowa kluczowe

EN

modal analysis; natural vibrations; analytical solutions; Timoshenko beam theory; shaft vibrations

• Wydawca: Oficyna Wydawnicza Politechniki Białostockiej
• Czasopismo: Acta Mechanica et Automatica
• Rocznik: 2022
• Tom: Vol. 16, no. 3
• Strony: 215--224
• Opis fizyczny: Bibliogr. 26 poz., rys., tab.

Twórcy

autor

Noga Stanisław

• Rzeszow University of Technology, Al. Powstańców Warszawy 12, 35 – 959 Rzeszów, Poland

• https://orcid.org/0000-0003-3789-4899

autor

Rejman Edward

• ZPU Mirosław Pogoda, ul. Wojska Polskiego 3, 39 – 300 Mielec, Poland
• Rzeszow University of Technology, Al. Powstańców Warszawy 12, 35 – 959 Rzeszów, Poland

• https://orcid.org/0000-0003-4716-7513

autor

Bałon Paweł

• ZPU Mirosław Pogoda, ul. Wojska Polskiego 3, 39 – 300 Mielec, Poland
• AGH University of Science and Technology, WIMiR, Al. A. Mickiewicza 30-B2, 30-059 Kraków, Poland

• https://orcid.org/0000-0003-3136-7908

autor

Kiełbasa Bartłomiej

• AGH University of Science and Technology, WIMiR, Al. A. Mickiewicza 30-B2, 30-059 Kraków, Poland

• https://orcid.org/0000-0002-3116-2251

autor

Smusz Robert

• ZPU Mirosław Pogoda, ul. Wojska Polskiego 3, 39 – 300 Mielec, Poland

• https://orcid.org/0000-0001-7369-1162

autor

Szostak Janusz

• AGH University of Science and Technology, WIMiR, Al. A. Mickiewicza 30-B2, 30-059 Kraków, Poland

• https://orcid.org/0000-0002-7789-3383

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Uwagi

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).