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Support parameters design of Jeffcoat rotor using nonlinear energy sink & H∞ method | ||
| AUT Journal of Mechanical Engineering | ||
| مقاله 3، دوره 5، شماره 2، شهریور 2021، صفحه 227-238 اصل مقاله (1.08 M) | ||
| نوع مقاله: Research Article | ||
| شناسه دیجیتال (DOI): 10.22060/ajme.2020.17847.5876 | ||
| نویسندگان | ||
| Hamidreza Heidari* 1؛ Pedram Safarpour2 | ||
| 1Faculty of Mechanical Engineering, Malayer University, Malayer, Iran | ||
| 2Faculty of Mechanical & Energy Engineering, Shahid Beheshti University, Tehran, Iran | ||
| چکیده | ||
| Rotating machinery support design with the aim of robustly absorbing transient disturbances over a broad range of frequencies has significant importance regarding the various applications of this machinery. Hence, the nonlinear energy sink may be regarded as an efficient passive absorber, possessing adaptivity to the frequency content of vibrations of the primary system. This paper studies the effect of nonlinear energy sinks on the vibration suppression of a flexible rotor supported by a linear damping and an essentially nonlinear stiffness. First, the governing equations for the Jeffcott rotor model mounted on flexible supports are derived and numerically solved. Then, the optimal parameters for the linear supports have been analytically achieved by H∞ optimization procedure. Numerical simulations have been performed to optimize the nonlinear energy sink parameters by using Matlab software in order to obtain the optimum performance for vibration reduction. Moreover, the H∞ optimum parameters such as tuning frequency and damping ratios are expressed based on fixed-point theory to minimize the rotor amplitudes. It is proven by numerical simulations that the system optimization design can effectively improve the synchronous unbalance response. | ||
| کلیدواژه‌ها | ||
| H∞ optimization؛ Nonlinear energy sink؛ Jeffcott rotor؛ Support designs؛ Optimal absorber | ||
| مراجع | ||
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[1] L. Li, Y. Du, Design of nonlinear tuned mass damper by using the harmonic balance method, Journal of Engineering Mechanics, 146 (6) (2020) 04020056.
[2] R.A. Borges, A.M. Lima, V. Steffen, Robust optimal design of a nonlinear dynamic vibration absorber combining sensitivity analysis, Journal of Shock and Vibration, 17 (2010) 507-520.
[3] Z. Lu, Z. Wang, and Y. Zhou, Nonlinear dissipative devices in structural vibration control: a review, Journal of Sound and Vibration, 423 (2018) 18-49.
[4] G. Habib, T. Detroux, R. Viguié, G. Kerschen, Nonlinear generalization of Den Hartog׳s equal-peak method, Mechanical Systems and Signal Processing, 52 (2015) 17-28.
[5] J.P. Den Hartog, Mechanical Vibrations, Fifth Ed., New York, Mc Graw-Hill, (1985).
[6] O.V. Gendelman, L. I. Manevitch, A. F. Vakakis, and R. Mcloskey, Energy pumping in nonlinear mechanical oscillators: Part I - Dynamics of the underlying Hamiltonian systems, Journal of Applied Mechanics, 68 (2001) 34-41.
[7] A. F. Vakakis, O.V. Gendelman, Energy pumping in nonlinear mechanical oscillators: Part II - Resonance capture, Journal of Applied Mechanics, 68 (2001) 42-48.
[8] A. Amiri, M. Dardel, and H.M.Daniali, Effects of passive vibration absorbers on the mechanisms having clearance joints, Multibody System Dynamics, 47 (2019) 363-395.
[9] M. Weiss, A. Savadkoohi, O. Gendelman, C. Lamarque, Dynamical behavior of a mechanical system including Saint-Venant component coupled to a non-linear energy sink, International Journal of Non-Linear Mechanics, 63 (2014) 10-18.
[10] M. Farid, N. Levy, O.V. Gendelman, Vibration mitigation in partially liquid-filled vessel using passive energy absorbers, ASME Journal of Sound and Vibration, 406 (2017) 51-73.
[11] G. Kerschen, J. J. Kowtko, D. M. McFarland, L. A. Bergman, A. F. Vakakis, Theoretical and experimental study of multimodal targeted energy transfer in a system of coupled oscillators, Journal of Nonlinear Dynamics, 47 (2007) 285-309.
[12] Y. Liu, A. Mojahed, L.A. Bergman, A new way to introduce geometrically nonlinear stiffness and damping with an application to vibration suppression, Nonlinear Dynamics, 96 (2019) 1819-1845.
[13] A. Blanchard, L. A. Bergman, and A. F. Vakakis, Targeted energy transfer in laminar vortex-induced vibration of a sprung cylinder with a nonlinear dissipative rotator, Physica D: Nonlinear Phenomena, 350 (2017) 26-44.
[14] Z.N. Ahmadabadi, S.E. Khadem, Self-excited oscillations attenuation of drill-string system using nonlinear energy sink, Journal of Mechanical Engineering Science, 227 (2) (2012) 230-245.
[15] F. Georgiades, A.F. Vakakis, G. Kerschen, Broadband passive targeted energy pumping from a linear dispersive rod to a lightweight essentially non-linear end attachment, International Journal of Non-Linear Mechanics, 42 (5) (2007) 773-788.
[16] S. Bab, S. E. Khadem, M. Shahgholi, Vibration attenuation of a rotor supported by journal bearings with nonlinear suspensions under mass eccentricity force using nonlinear energy sink, Meccanica, 50 (9) (2015) 2441-2460.
[17] C. Guo, M.A. AL-Shudeifat, A.F. Vakakis, Vibration reduction in unbalanced hollow rotor systems with nonlinear energy sinks, Nonlinear Dynamic, 79 (1) (2015) 527-538.
[18] H.R. Heidari, P. Safarpour, H∞ and H2 optimization procedures for optimal design of support parameters of a flexible rotor, Computational and Applied Mathematics, 38 (2019) 152.
[19] H.R. Heidari, P. Safarpour, Optimal design of support parameters for minimum force transmissibility of a flexible rotor based on H∞ and H2 optimization methods, Engineering Optimization, 50 (2018) 671-683.
[20] I.S. Gradshteyn, I.M. Ryzhik, Table of Integrals Series and Products, Academic Press Inc., (1994).
[21] Cunningham, R.E., E.J. Gunter. “Design of a squeeze film damper for a multi-mass flexible rotor.” Journal of Engineering for Industry, 97 (4) (1975) 1383-1389. | ||
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