RESEARCH PAPER
Analytical and Numerical Analysis of Injection Pump (Stepped) Shaft Vibrations Using Timoshenko Theory
1
Rzeszow University of Technology, Al. Powstańców Warszawy 12, 35 – 959 Rzeszów, Poland
2
ZPU Mirosław Pogoda, ul. Wojska Polskiego 3, 39 – 300 Mielec, Poland
3
AGH University of Science and Technology, WIMiR, Al. A. Mickiewicza 30-B2, 30-059 Kraków, Poland
Submission date: 2022-03-29
Acceptance date: 2022-05-12
Online publication date: 2022-07-01
Publication date: 2022-09-01
Acta Mechanica et Automatica 2022;16(3):215-224
KEYWORDS
ABSTRACT
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.
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| eISSN: | 2300-5319 |
| ISSN: | 1898-4088 |
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