NUMERICAL STUDY ON EFFECT OF PHASE ANGLE ON TORSIONAL AND LATERAL VIBRATIONS IN POWER TRANSMISSION SYSTEM EMPLOYING CARDAN SHAFT

Authors

  • Mohd Hazri Omar Faculty of Mechanical Engineering and Technology, UNIMAP, 02600, Arau, Perlis, Malaysia https://orcid.org/0009-0006-6281-3877
  • Muhajir Ab Rahim Faculty of Electrical Engineering and Technology, UNIMAP, 02600, Arau, Perlis, Malaysia
  • Mohd Noor Arib Md Rejab Faculty of Mechanical Engineering and Technology, UNIMAP, 02600, Arau, Perlis, Malaysia

DOI:

https://doi.org/10.11113/jurnalteknologi.v85.19645

Keywords:

Cardan shaft, torsional vibration, lateral vibration, phase angle, relative attenuation

Abstract

A power transmission system driven by a Cardan shaft may experience severe vibration due to fluctuating rotational speed and moments transferred to the final drives, determined by the level of angular misalignment and phasing of the joint yokes. This study investigates the potential of an out-of-phase position displaced by a phase angle in attenuating vibrations. The governing equations representing the dynamics of the system are derived. The torsional and lateral vibration responses are numerically calculated over a range of input rotational speeds. When attenuating the vibration, the phase angle is set equal to the maximum twist that occurs during the in-phase position. Relative attenuation is used to investigate the phase angle effects. The effectiveness is studied for different levels of static angular misalignment. For the considered system, the results showed that for static angular misalignment greater than 20 degrees, the proposed phase angle arrangement could attenuate torsional vibration by more than 10 percent and significantly attenuate the lateral vibration.

References

Bulut, G. 2014. Dynamic Stability Analysis of Torsional Vibrations of a Shaft System Connected by a Hookes Joint through a Continuous System Model. Journal of Sound and Vibration 333: 3691-3701.

Ding, J. M., Lin, J. H., He, L., Zhao, J. 2015. Dynamic Unbalance Detection of Cardan Shaft in High-speed Train Based on EMD-SVD-NHT. Journal of Central South University. 22: 2149-2157.

Zheng, Z., Lin, J., Hu, Y., Zhou, Q., Yi, C. 2022. Dynamic Unbalance Identification and Quantitative Diagnosis of Cardan Shaft in High-speed Train based on Improved TQWT-RBFNN-NSGA-II Method. Eng Fail Anal. https://doi.org/10.1016/j.engfailanal.2022.106226.

Golafshan, R., Dascaliuc, C., Jacobs, G., Roth, D., Berroth, J., Neumann, S. 2021. Damage Diagnosis of Cardan Shafts in Mobile Mining Machines using Vibration Analysis. IOP Conference Series: Materials Science and Engineering. 1097: 012019.

Porat I. 1980. Moment Transmission by a Universal Joint. Mechanism and Machine Theory. 15: 245-254.

Hu, Y., Zhang, B., Tan, A. C. 2020. Acceleration Signal with DTCWPT and Novel Optimize SNR Index for Diagnosis of Misaligned Cardan Shaft in High-speed Train. Mechanical Systems and Signal Processing. 140: 106723.

Hu, Y., Chit Tan, A., Liang, C., Li, Y. 2021. Failure Analysis of Fractured Motor Bolts in High-speed Train Due to Cardan Shaft Misalignment. Engineering Failure Analysis. 122: 105246.

Hu, Y., Lint, J., Tan, A. C. 2019. Failure Analysis of Gearbox in CRH High-speed Train. Engineering Failure Analysis. 105: 110-126.

Bulut, G., Parlar, Z. 2011. Dynamic Stability of a Shaft System Connected through a Hooke’s Joint. Mechanism and Machine Theory. 46:1689-1695.

Asokanthan, S. F., Wang, X. H. 1996. Characterization of Torsional Instabilities in a Hooke’s Joint Driven System via Maximal Lyapunov Exponents. Journal of Sound and Vibration. 194: 83-91.

Iwatsubo, T., Saigo, M. 1984. Transverse Vibration of a Rotor System Driven by a Cardan Joint.

Ota, H., Kato, M., Sugita, H. 1985. Lateral Vibrations of a Rotating Shaft Driven by a Universal Joint: 2nd Report, Analyses and Experiments on Even Multiple Vibrations by Secondary Moment. Bulletin of JSME. 28: 1749-1755.

DeSmidt, H. A., Wang, K. W., Smith, E. C. 2002. Coupled Torsion-lateral Stability of a Shaft-disk System Driven Through a Universal Joint. Journal of Applied Mechanics. 69: 261-273.

Xia, Y., Pang, J., Yang, L., Zhao, Q., Yang, X. 2019. Nonlinear Numerical and Experimental Study on the Second-order Torsional and Lateral Vibration of Driveline System Connected by Cardan Joint. JVC/Journal of Vibration and Control. https://doi.org/10.1177/1077546319889846.

Xia, Y., Pang, J., Zhou, C., Li, H., Li, W. 2015. Study on the Bending Vibration of a Two-piece Propeller Shaft for 4WD Driveline. SAE Technical Papers. https://doi.org/10.4271/2015-01-2174.

Tchomeni, B. X., Alugongo, A. A., Masu, L. 2019. Modeling and Vibration Analysis of Twin-rotor System Interconnected by a Hooke’s Joint (Part a). Vibroengineering Procedia. JVE International. 1-6.

Tchomeni, B. X., Alugongo, A. 2020. Theoretical and Experimental Analysis of an Unbalanced and Cracked Cardan Shaft in the Vicinity of the Critical Speed. Mathematical Models in Engineering. 6: 34-49.

Browne, M., Palazzolo, A. 2009. Super Harmonic Nonlinear Lateral Vibrations of a Segmented Driveline Incorporating a Tuned Damper Excited by Non-constant Velocity Joints. Journal of Sound and Vibration. 323: 334-351.

SoltanRezaee, M., Ghazavi, M. R., Najafi, A., Rahmanian, S. 2018. Stability of a Multi-body Driveshaft System Excited through U-joints. Meccanica. 53: 1167-1183.

SoltanRezaee, M., Ghazavi, M. R., Najafi, A. 2018. Parametric Resonances for Torsional Vibration of Excited Rotating Machineries with Nonconstant Velocity Joints. JVC/Journal of Vibration and Control. 24: 3262-3277.

Bharti, S. K., Samantaray, A. K. 2021. Resonant Capture and Sommerfeld Effect Due to Torsional Vibrations in a Double Cardan Joint Driveline. Communications in Nonlinear Science and Numerical Simulation. 97: 105728.

Yao, W., DeSmidt, H. 2021. Nonlinear Coupled Torsion/Lateral Vibration and Sommerfeld Behavior in a Double U-Joint Driveshaft. Journal of Vibration and Acoustics. 143: 1-15.

An, K., Wang, W. 2017. Transmission Performance and Fault Analysis of a Vehicle Universal Joint. Advances in Mechanical Engineering. https://doi.org/10.1177/1687814017707478.

Fischer, I. S., Paul, R. N. 1991. Kinematic Displacement Analysis of a Double-cardan-joint Driveline. Journal of Mechanical Design, Transactions of the ASME. 113: 263-271.

Wu, G., Shi, W., Chen, Z. 2013. The Effect of Multi-universal Coupling Phase on Torsional Vibration of Drive Shaft and Vibration of Vehicle. SAE Technical Paper.

Schmelz, F., Seherr-Thoss, CH-C., Aucktor, E. 1992. Universal Joints and Driveshafts. Universal Joints and Driveshafts. https://doi.org/10.1007/978-3-662-02746-2.

Zají˘ Cek, M., Dupal, J. 2014. Analytic Solution of Simplified Cardan’s Shaft Model. Applied and Computational Mechanics. 8(2014): 215-228.

Chaban, A., Łukasik, Z., Popenda, A., Szafraniec, A. 2021. Mathematical Modelling of Transient Processes in an Asynchronous Drive with a Long Shaft Including Cardan Joints. Energies (Basel). https://doi.org/10.3390/en14185692.

Murawski, L., Dereszewski, M. 2020. Theoretical and Practical Backgrounds of Monitoring System Of Ship Power Transmission Systems’ Torsional Vibration. Journal of Marine Science and Technology (Japan). 25: 272-284.

SoltanRezaee, M., Ghazavi, M. R., Najafi, A., Liao, W. H. 2019. Modeling and Analysis of Rotary Mechanical Systems Linked through a U-joint. International Journal of Mechanical Engineering and Robotics Research. 8: 459-465.

Downloads

Published

2023-06-25

Issue

Section

Science and Engineering

How to Cite

NUMERICAL STUDY ON EFFECT OF PHASE ANGLE ON TORSIONAL AND LATERAL VIBRATIONS IN POWER TRANSMISSION SYSTEM EMPLOYING CARDAN SHAFT. (2023). Jurnal Teknologi, 85(4), 113-122. https://doi.org/10.11113/jurnalteknologi.v85.19645