Optimum design of a viscoelastic vibration absorber for counter-rotating systems

Document Type : Research Article

Author

Department of Mechanical Engineering, Technical and Vocational University (TVU), Tehran, Iran

Abstract

The small distance between two rotating shafts can disturb them, cause interference in their performance, and affect the system's efficiency. The application of the counter-rotating double shafts has some specific benefits. For example, these shafts can be used under the water to neutralize the driving torque effect, prevent the submarine's self-propulsion, and increase the submarine's power to move forward and maneuver. The aim of this study is designing an optimum viscoelastic vibration absorber for a Counter-Rotating Double Shaft to deal with the vibration. In order to overcome vibrations, Viscoelastic cylinders are modeled as distributed spring and damper which are considered between the two shafts, and their vibration equations are obtained. Optimal position and distributed stiffness and damping coefficients are determined using a particle swarm optimization algorithm. The objective function to be minimized is defined as the relative distance between shafts which is controlled by Equivalent stiffness and damping coefficients of considered viscoelastic vibration absorber. The present results show that applied viscoelastic polymer with the nearest features to the optimum values can drastically decrease the relative distance between shafts and absorb the vibration of rotating shafts.

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[1] P. Sarath, R. Reghunath, J.T. Haponiuk, S. Thomas, S.C. George, Introduction: A journey to the tribological behavior of polymeric materials, in:  Tribology of Polymers, Polymer Composites, and Polymer Nanocomposites, Elsevier, 2023, pp. 1-16.
[2] F. Doubrawa Filho, M. Luersen, C. Bavastri, Optimal design of viscoelastic vibration absorbers for rotating systems, Journal of Vibration and Control, 17(5) (2011) 699-710.
[3] Y. Jin, X. Zhou, X. Quan, X. Zhang, K. Lu, J. Wang, Topological structures of vibration responses for dual-rotor aeroengine, Mechanical Systems and Signal Processing, 208 (2024) 111053.
[4] W.O. Wong, R. Fan, F. Cheng, Design optimization of a viscoelastic dynamic vibration absorber using a modified fixed-points theory, The Journal of the Acoustical Society of America, 143(2) (2018) 1064-1075.
[5] J. Espíndola, G. Cruz, E. Lopes, C. Bavastri, Design of optimum viscoelastic vibration absorbers based on the fractional calculus model, Proceedings of the XI DINAME, Ouro Preto-MG–Brazil,  (2005).
[6] M. Shahgholi, S. Khadem, S. Bab, Free vibration analysis of a nonlinear slender rotating shaft with simply support conditions, Mechanism and Machine Theory, 82 (2014) 128-140.
[7] S. Hosseini, S. Khadem, Free vibrations analysis of a rotating shaft with nonlinearities in curvature and inertia, Mechanism and Machine theory, 44(1) (2009) 272-288.
[8] Y. Huang, T. Chen, P. Shieh, Analytical estimation of the noise due to a rotating shaft, Applied acoustics, 76 (2014) 187-196.
[9] H. Tavari, M.M. Jalili, M.R. Movahhedy, Nonlinear analysis of chatter in turning process using dimensionless groups, Journal of the Brazilian Society of Mechanical Sciences and Engineering, 37 (2015) 1151-1162.
[10] B. Hartmann, J.V. Duffy, G.F. Lee, E. Balizer, Thermal and dynamic mechanical properties of polyurethaneureas, Journal of applied polymer science, 35(7) (1988) 1829-1852.
[11] J.V. Duffy, G.F. Lee, J.D. Lee, B. Hartmann, Dynamic Mechanical Properties of Poly (tetramethylene ether) Glycol Polyurethanes: Effect of Diol-Chain Extender Structure, in, ACS Publications.
[12] D.J. Lee J.D., Hartmann B., Lee G., Thermal anD dynamic Mechanical Properties of Some TDI and MDI Based Polyurethane Areas, in:  AIChE meeting [papers], American Institute of Chemical Engineers, New York, 1989, pp. 20.
[13] B. Hartmann, G.F. Lee, Dynamic mechanical relaxation in some polyurethanes, Journal of non-crystalline solids, 131 (1991) 887-890.
[14] J. Lee, G. Lee, B. Hartmann, Damping Properties of Aliphatic Polyurethanes from, 4, 4'Dicyclohexylmethane Diisocyanate, in:  Proceeding of Damping, 1991.
[15] B. Hartmann, G.F. Lee, J.D. Lee, Loss factor height and width limits for polymer relaxations, The Journal of the Acoustical Society of America, 95(1) (1994) 226-233.
[16] S. Havriliak, S. Negami, A complex plane analysis of α‐dispersions in some polymer systems, in:  Journal of Polymer Science Part C: Polymer Symposia, Wiley Online Library, 1966, pp. 99-117.
[17] C.W. De Silva, Vibration damping, control, and design, Crc Press, 2007.