Torsional Vibration and Sensitivity Analysis of Marine Propeller Shaft Using Hybrid Modeling

Subject Areas : Mechanical Engineering

Saeed Soheili ¹ , Seyyed Esmaeel Hosseini ²

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Received: 2024-10-18 Accepted : 2025-05-05 Published : 2025-02-10

Keywords: Torsional Vibration, Hybrid Modeling, Marine Propeller Shaft, Distributed Element, Lumped Element,

Abstract :

This paper investigates the modeling of torsional vibration of marine shaft systems using the distributed-lumped (hybrid) modeling technique (DLMT). A new analytical method is employed to solve the equation of motion for the shaft torsional vibrations, and the solution is modeled as a series of interconnected distributed and lumped elements. The DLMT is then utilized to calculate the natural frequencies of a rotor system with various elements, and the results are compared and verified with the results of other techniques, such as the finite element method (FEM), using ANSYS software. A marine propeller shaft with multiple elements such as different couplings and flanges is then modeled and analyzed by the DLMT to obtain the natural frequencies. The results are compared and verified with the frequencies and mode shapes obtained by KissSoft software. In addition, the sensitivity analysis of significant parameters such as coupling stiffness, propeller moment of inertia, and shaft diameter are also implemented. The results show that the presented method can be simply and effectively applied to complicated systems, and brings highly accurate results.

References:

[1] Randall, R.B., 2011, Vibration- Based Condition Monitoring: Industrial, Aerospace and Automotive Applications, John Wiley & Sons Inc.
[2] Talebi, S., Uosofvand, H., Ariaei, A., 2015, Vibration Analysis of a Rotating Closed Section Composite Timoshenko Beam by Using Differential Transform Method, Applied and Computational Mechanics, 1(4), 181-186.
[3] Halilbese, A., Ozsoysal, O. A., 2021, The Coupling Effect on Torsional and Longitudinal Vibrations of Marine Propulsion Shaft System, Journal of ETA Maritime Science, 9(4), 274-282.
[4] Huang, Q., Yan, X., Zhang, C., Zhu, H., 2019, Coupled Transverse and Torsional Vibrations of the Marine Propeller Shaft with Multiple Impact Factors, Ocean Engineering, 178, 48–58.
[5] Li, D., Du, Y., Tian, Y., 2024, Analysis of Vibration Characteristics of Ship Propeller Spindle, Vibroengineering Procedia, 56, 1-7, DOI: https://doi.org/10.21595/vp.2024.24269.
[6] Madokuboye, A., Ogbonnaya, A. E., 2019, Vibration Analysis of a 3-Bladed Marine Propeller Shaft for 35000DWT Bulk Carrier, European Journal of Engineering Research and Science, 4(10), 78-86.
[7] Sadab, M., Kundu, S., 2024, Dispersive behavior of SH waves in a smart composite structure of viscoelastic media, Wave Motion, 130, 103355, ISSN 0165-2125.
[8] Sadab, M., Kundu, S., 2024, Analysis of Love-type wave in a piezoelectric layer bonded between fiber-reinforced viscoelastic and dual porous media. Waves in Random and Complex Media, 1–20, DOI: https://doi.org/10.1080/ 17455030.2024.2334266.
[9] Sadab M, Kundu S., 2023, Love wave propagation in a piezoelectric layer imperfectly bonded over a cracked porous half-space, Journal of Vibration and Control, 30(11-12):2775-2785.
[10] Whalley, R., 1988, The response of distributed-lumped parameter systems, Proceedings of IMechE, 202(C6), 421-428.
[11] Aleyaasin, M., Ebrahimi M., Whalley, R., 2001, Flexural vibration of rotating shafts by frequency domain hybrid modeling, Computers and Structures, 79, 319-331.
[12] Soheili S., Abachizadeh, M., 2022, Flexural Vibration of Multistep Rotating Timoshenko Shafts Using Hybrid Modeling and Optimization Techniques, Vibration and Control, 29(7-8), 1833–1849.
[13] Tahani, M., Soheili, S., Abachizadeh, M., Farshidianfar, A., 2008, Rotors Frequency and Time Response of Torsional Vibration Using Hybrid Modeling, 16th Annual Conference of Mechanical Engineering (ISME), Kerman, Iran.
[14] Tahani, M., Soheili, S., 2005, Frequency and Time Response of Rotors Longitudinal Vibration Using Hybrid Modeling, 13th Annual (International) Conference of Mechanical Engineering (ISME), Isfahan, Iran.
[15] Murawski, L., Charchalis, A., 2014, Simplified Method of Torsional Vibration Calculation of Marine Power Transmission System, Marine Structures, 39, 335–349.
[16] Han, H.S., Lee, K.H., Park, S.H., 2015, Estimate of the Fatigue Life of the Propulsion Shaft From Torsional Vibration Measurement and the Linear Damage Summation Law in Ships, Ocean Engineering, 107, 212–221.
[17] Brydum, L., Jakobsen, S. B., 1987, Vibration Characteristics of Two-Stroke, Low Speed Diesel Engines, International Marine Propulsion Conference, 9th, MAN B&W Diesel a/s, Copenhagen, 1-16, London.
[18] Huang, Y., Horng, C., 1999, Analysis of Torsional Vibration Systems by the Extended Transfer Matrix Method, Journal of Vibration and Acoustics, 121, 250-255.
[19] Wu J. S., Yang, I. H., 1995, Computer Method for Torsion-and-Flexure Coupled Forced Vibration of Shafting System with Damping, Journal of Sound and Vibration, 180, 417-435.
[20] Huang, Q., Yan, X., Wang, Y., 2016, Numerical and Experimental Analysis of Coupled Transverse and Longitudinal Vibration of a Marine Propulsion Shaft, Journal of Mechanical Science and Technology, 30, 5405-5412.
[21] Murawski, L., 2004, Axial Vibrations of a Propulsion System Taking into Account the Couplings and Boundary Conditions, Journal of Marine Science and Technology, 9, 171-181.
[22] Senjanovića, I., Ančića, I., Magazinovićb, G., Alujevića, N., Vladimira, N., Choc, D., 2019, Validation of Analytical Methods for the Estimation of the Torsional Vibrations of Ship Power Transmission Systems, Ocean Engineering, 184, 107-120.
[23] Xiang, L., Yang S., Gan, C., 2012, Torsional Vibration of a Shafting System under Electrical Disturbances, Shock and Vibration, 19, 1223–1233.
[24] Zou, D., Xu, J., Zhang, J., Lv, F., Ta, N., Rao, Z., 2021, The Hydroelastic Analysis of Marine Propellers Considering the Effect of the Shaft: Theory and Experiment, Ocean Engineering, 221, 108547.
[25] Han, H.S., Lee, K.H., Park, S.H., 2016, Parametric Study to Identify the Cause of High Torsional Vibration of the Propulsion Shaft in the Ship, Engineering Failure Analysis. 59, 334–346.
[26] Firouzi, J., Ghassemi, H., Akbari Vakilabadi, k., 2020, Vibration Equations of the Coupled Torsional, Longitudinal, and Lateral Vibrations of the Propeller Shaft at the Ship Stern, Scientific Journals of the Maritime University of Szczecin, 61(133), 121–129.
[27] Rao, S.S., 2016, Mechanical Vibration, Pearson Publications, 6th Edition.
[28] Meirovitch, L., 2001, Fundamentals of Vibration, McGraw-Hill Inc..
[29] Holopainen, T. P., Jorg, P., Nïiranen, j., Andrea, D., 2013, Electric Motors and Drives in Torsional Vibration Analysis and Design, Proceedings of the Forty-Second Turbomachinery Symposium, Houston, Texas.