journal article·2025-10-25Open access

Integration of Theoretical and Experimental Torsional Vibration Analysis in a Marine Propulsion System with Component Degradation

Quang Dao Vuong, Jiwoong Lee, Jae-Ung Lee

Applied Sciences· Volume 15· Issue 21

Abstract

This study investigates torsional vibration characteristics in an aged coastal car ferry propulsion system using theoretical calculations based on the Matrix method alongside experimental measurements. While the measured torsional vibration at the propeller shaft remained within the limits, it was significantly higher than the calculated values, particularly at the 5th harmonic order excited by engine combustion. Negative torque peaks observed during transient clutch engagement caused gear hammering. Structural vibration analysis identified potential gearbox defects, such as wear or misalignment. Multiple torsional vibration calculation models were developed considering various degrees of degradation of the aged rubber blocks and viscous torsional damper. A model assuming that the damping capacity of damper drops to about 1%, corresponding to the specified values at 125 °C, produced results that closely reproduced the measured vibration characteristics. The finding, confirmed by an actual inspection, identifies viscous oil leakage and deterioration of the damper as the primary cause of excessive vibration. Prompt replacement of the viscous oil is recommended to improve torsional vibration behavior.
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Research context

OpenAlex topics: Mechanical Failure Analysis and Simulation · Ship Hydrodynamics and Maneuverability · Tribology and Lubrication Engineering

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

Affiliations

Division of Marine System Engineering, National Korea Maritime and Ocean University, Busan 49112, Republic of Korea

Funding

Development of Autonomous Ship Technology · Ministry of Oceans and Fisheries · Korea Institute of Marine Science & Technology Promotion

References (39)

Show source-provided references
1. Parsons, M.G. (2024). Marine Propulsion Machinery Vibration, Society of Naval Architects and Marine Engineers. Marine Engineering Series.
2. Det Norske Veritas Germanischer Lloyd (DNV GL) (2025). Rules for Classification: Ships—Part 6 Chapter 2: Propulsion, Power Generation and Auxiliary Systems, DNV GL.
3. Effect of coupled torsional and transverse vibrations of the marine propulsion shaft system10.1007/s11804-021-00205-2 ↗
4. An experimental investigation of ship propulsion system fatigue damage during crash astern maneuver10.1016/j.oceaneng.2024.118530 ↗
5. Torsional vibration analysis of diesel driven propulsion systems: The case of a polar-class vessel10.1016/j.oceaneng.2021.110330 ↗
6. Analysis of excitation source characteristics and their contribution in a 2-cylinder diesel engine10.1016/j.measurement.2021.109195 ↗
7. Analysis of torsional vibration effect on the diesel engine block vibration10.1051/meca/2020065 ↗
8. Coupling effect of shaft torsional vibration and advanced injection angle on medium-speed diesel engine block vibration10.1016/j.engfailanal.2023.107624 ↗
9. Everllence (2025, October 01). Basic Principles of Ship Propulsion. Available online: https://www.man-es.com/docs/default-source/document-sync/basic-principles-of-ship-propulsion-eng.pdf.
10. Brodin, E., Nøkleby, J., Amini, H., Avanesov, M., and Deinboll, M. (2020, January 13–15). Marine propulsion—Revised class rules for passing barred speed range. Proceedings of the Torsional Vibration Symposium, Salzburg, Austria.
11. Song, M.-H., Pham, X.D., and Vuong, Q.D. (2020). Torsional vibration stress and fatigue strength analysis of marine propulsion shafting system based on engine operation patterns. J. Mar. Sci. Eng., 8.10.3390/jmse8080613 ↗
12. Study on torsional vibration response characteristics of marine propulsion shafting10.5957/JOSR.07230021 ↗
13. Estimate of the fatigue life of the propulsion shaft from torsional vibration measurement and the linear damage summation law in ships10.1016/j.oceaneng.2015.07.023 ↗
14. (2012). Mechanical Vibration—Measurement of Vibration on Ships—Part 4: Measurement and Evaluation of Vibration of the Ship Propulsion Machinery (Standard No. ISO 20283-4:2012).
15. Lloyd’s Register (LR) (2025). Rules and Regulations for the Classification of Ships, Part 5, Chapter 8: Shaft Vibration and Alignment, LR.
16. Det Norske Veritas Germanischer Lloyd (DNV GL) (2025). Rules for Classification: Ships—Part 4 Chapter 2: Shaft Vibration and Alignment, DNV GL.
17. American Bureau of Shipping (ABS) (2023). Guidance Notes on Ship Vibration, ABS.
18. Den Hartog, J.P. (1956). Mechanical Vibrations, McGraw-Hill. [4th ed.].
19. Weaver, W., Timoshenko, S.P., and Young, D.H. (1991). Vibration Problems in Engineering, John Wiley & Sons.
20. A Modified Transfer Matrix Method for Modal Analysis of Stepped Rotor Assembly Applied in the Turbomolecular Pump
21. Concept and electromechanical-coupling modeling of a torsional vibration excitation method10.1016/j.ijmecsci.2022.107709 ↗
22. Pestel, E.C., and Leckie, F.A. (1963). Matrix Methods in Elastomechanics, McGraw-Hill.
23. Hatter, D.J. (1973). Matrix Computer Methods of Vibration Analysis, Butterworth-Heinemann.10.1016/B978-0-408-70521-9.50006-0 ↗
24. Nagarajan, P. (2018). Matrix Methods of Structural Analysis, CRC Press.10.1201/9781351210324 ↗
25. Rui, X., Wang, G., and Zhang, J. (2018). Transfer Matrix Method for Multibody Systems: Theory and Applications, John Wiley & Sons.10.1002/9781118724811 ↗
26. Transfer matrix method for the free and forced vibration analyses of multi-step Timoshenko beams coupled with rigid bodies on springs10.1016/j.apm.2020.05.023 ↗
27. A modified transfer matrix method for the coupling lateral and torsional vibrations of symmetric rotor-bearing systems10.1016/j.jsv.2005.02.004 ↗
28. Batrak, Y. (2010). Torsional Vibration Calculation Issues with Propulsion Systems, SKF Solution Factory-Marine Services-Shaft Designer.
29. Analysis of torsional vibration in internal combustion engines: Modelling and experimental validation
30. International Association of Classification Societies (IACS) (2021). Unified Requirement M68: Dimensions of Propulsion Shafts and Their Permissible Torsional Vibration Stresses, Rev.3, IACS.
31. ClassNK (2022). Power Transmission Systems: Amended Rules and Guidance. Rules for the Survey and Construction of Steel Ships, Part D: Machinery Installations, ClassNK.
32. Jáuregui-Correa, J.C., and Lozano Guzmán, A.A. (2020). Mechanical vibrations and condition monitoring. Mechanical Vibrations and Condition Monitoring, Academic Press. Chapter 4.10.1016/B978-0-12-819796-7.00008-1 ↗
33. (2020). Mechanical Vibration—Measurement and Evaluation of Machine Vibration—Part 9: Gear Units (Standard No. ISO 20816-9:2020).
34. Influence of rubber ageing on damping capacity of rubber vibration absorber10.21595/vp.2018.20219 ↗
35. Gent, A.N. (2012). Engineering with Rubber: How to Design Rubber Components, Carl Hanser Verlag.10.1007/978-3-446-42871-3 ↗
36. Damping performance of the degraded fluid viscous damper due to oil leakage10.1016/j.istruc.2023.01.070 ↗
37. Evaluation of the increased stiffness for the elastic coupling under the dynamic loading conditions in a ship10.1016/j.engfailanal.2016.06.008 ↗
38. The failures of flexible couplings due to self-heating by torsional vibrations–validation on the heat generation in pneumatic flexible tuner of torsional vibrations10.1016/j.engfailanal.2020.104977 ↗
39. Study on the torsional stiffness and vibration response law of laminated coupling considering the effect of excess10.1016/j.ymssp.2024.111739 ↗