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Torsional vibration suppression of rotor systems using a rubber-based nonlinear energy sink

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Abstract

To suppress the torsional vibration of the rotor system, a rubber-based nonlinear energy sink (RNES) is developed. The action mechanism of RNES is the piecewise linear stiffness produced by extrusion of the rubber blocks. The structure of the RNES is designed, the dynamic model of the RNES-rotor system is built, and the ability to suppress the torsional vibration of the rotor system is evaluated by the transient torsional vibration and the steady-state torsional vibration. In transient vibration suppression, the percentage of accumulated energy dissipation of RNES can reach 93.3%. For steady-state vibration suppression, the peak vibration suppression of RNES can reach 83.2% in simulation and 78.6% in test. In addition, the broadband vibration alleviation performance of the RNES is simulated, and the vibration reduction ability of RNES and a linear dynamic vibration absorber (LDVA) with the same rotary inertia is compared.

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Availability of data and materials

The data and materials that support the findings of this study are available from the corresponding author [Hongliang Yao], upon reasonable request.

References

  1. Ari M, Faal RT (2020) Passive vibration suppression of plate using multiple optimal dynamic vibration absorbers. Arch Appl Mech 90(2):235–274

    MATH  Google Scholar 

  2. Hu H, He L (2017) Online control of critical speed vibrations of a single-span rotor by a rotor dynamic vibration absorber at different installation positions. J Mech Sci Technol 31(5):2075–2081

    Google Scholar 

  3. Ding H, Ji J, Chen L (2019) Nonlinear vibration isolation for fluid-conveying pipes using quasi-zero stiffness characteristics. Mech Syst Signal Process 121:675–688

    Google Scholar 

  4. Vakakis AF, Gendelman OV (2001) Energy pumping in nonlinear mechanical oscillators: part II—resonance capture. J Appl Mech 68(1):42–48

    MathSciNet  MATH  Google Scholar 

  5. Vakakis AF, Gendelman OV, Bergman LA, McFarland DM, Kerschen G, Lee YS (2008) Nonlinear targeted energy transfer in mechanical and structural systems. Springer, Berlin

    MATH  Google Scholar 

  6. Vakakis AF, Gendelman OV, Bergman LA, Mojahed A, Gzal M (2022) Nonlinear targeted energy transfer: state of the art and new perspectives. Nonlinear Dyn 108:711–741

    Google Scholar 

  7. Gourdon E, Alexander NA, Taylor CA, Lamarque CH, Pernot S (2007) Nonlinear energy pumping under transient forcing with strongly nonlinear coupling: theoretical and experimental results. J Sound Vib 300(3–5):522–551

    Google Scholar 

  8. Gendelman OV, Alloni A (2016) Forced system with vibro-impact energy sink: chaotic strongly modulated responses. Procedia IUTAM 19:53–64

    Google Scholar 

  9. Gendelman OV, Manevitch LI, Vakakis AF, Closkey RM (2001) Energy pumping in nonlinear mechanical oscillators: part I-dynamics of the underlying Hamiltonian systems. J Appl Mech 68(1):34–41

    MathSciNet  MATH  Google Scholar 

  10. Gourdon E, Lamarque CH (2005) Energy pumping with various nonlinear structures: numerical evidences. Nonlinear Dyn 40(3):281–307

    MathSciNet  MATH  Google Scholar 

  11. Lee YS, Kerschen G, Vakakis AF, Panagopoulos P, Bergman L, McFarland DM (2005) Complicated dynamics of a linear oscillator with a light, essentially nonlinear attachment. Phys Nonlinear Phenom 204(1–2):41–69

    MathSciNet  MATH  Google Scholar 

  12. Ebrahimzade N, Dardel M, Shafaghat R (2016) Performance comparison of linear and nonlinear vibration absorbers in aeroelastic characteristics of a wing model. Nonlinear Dyn 86(2):1075–1094

    Google Scholar 

  13. AL-Shudeifat MA, Saeed AS (2021) Comparison of a modified vibro-impact nonlinear energy sink with other kinds of NESs. Meccanica 56(4):735–752

    MathSciNet  Google Scholar 

  14. Jin Y, Hou S, Yang T (2021) Cascaded essential nonlinearities for enhanced vibration suppression and energy harvesting. Nonlinear Dyn 103(2):1427–1438

    Google Scholar 

  15. Zhang Z, Ding H, Zhang YW, Chen LQ (2021) Vibration suppression of an elastic beam with boundary inerter-enhanced nonlinear energy sinks. Acta Mech Sin 37(3):387–401

    MathSciNet  Google Scholar 

  16. Ding H, Chen LQ (2021) Designs, analysis, and applications of nonlinear energy sinks. Nonlinear Dyn 100(4):3061–3107

    Google Scholar 

  17. Zhang YW, Zhou L, Wang S, Yang T, Chen LQ (2019) Vibration power flow characteristics of the whole-spacecraft with a nonlinear energy sink. J Low Freq Noise Vib Act Control 38(2):341–351

    Google Scholar 

  18. Bitar D, Gourdon E, Lamarque CH, Collet M (2019) Shunt loudspeaker using nonlinear energy sink. J Sound Vib 456:254–271

    Google Scholar 

  19. He MX, Tang Y, Ding Q (2022) Dynamic analysis and optimization of a cantilevered beam with both the acoustic black hole and the nonlinear energy sink. J Intell Mater Syst Struct 33(1):70–83

    Google Scholar 

  20. Sanches L, Guimarães TAM, Marques FD (2021) Nonlinear energy sink to enhance the landing gear shimmy performance. Acta Mech 232(7):2605–2622

    MathSciNet  MATH  Google Scholar 

  21. Selwanis MM, Franzini GR, Béguin C, Gosselin FP (2022) Multi-ball rotative nonlinear energy sink for galloping mitigation. J Sound Vib 526:116744

    Google Scholar 

  22. Wang J, Wierschem NE, Wang B Jr, Spencer BF (2022) Multi-objective design and performance investigation of a high-rise building with track nonlinear energy sinks. Struct Des Tall Spec Build 29(2):e1692

    Google Scholar 

  23. Zang J, Cao RQ, Zhang YW (2021) Steady-state response of a viscoelastic beam with asymmetric elastic supports coupled to a lever-type nonlinear energy sink. Nonlinear Dyn 105:1327–1341

    Google Scholar 

  24. Saeed AS, AL-Shudeifat MA, Vakakis AF, Cantwell WJ (2020) Rotary-impact nonlinear energy sink for shock mitigation: analytical and numerical investigations. Arch Appl Mech 90(3):495–521

    Google Scholar 

  25. Al-Shudeifat MA, Wierschem NE, Bergman LA, Vakakis AF (2017) Numerical and experimental investigations of a rotating nonlinear energy sink. Meccanica 52(4):763–779

    Google Scholar 

  26. Zhang YW, Lu YN, Zhang W, Teng YY, Yang HX, Yang TZ, Chen LQ (2019) Nonlinear energy sink with inerter. Mech Syst Signal Process 125:52–64

    Google Scholar 

  27. Qiu D, Seguy S, Paredes M (2018) Tuned nonlinear energy sink with conical spring: design theory and sensitivity analysis. J Mech Des 140(1):011404

    Google Scholar 

  28. Youssef B, Leine RI (2021) A complete set of design rules for a vibro-impact NES based on a multiple scales approximation of a nonlinear mode. J Sound Vib 501:116043

    Google Scholar 

  29. Yao H, Cao Y, Wang Y, Wen B (2019) A tri-stable nonlinear energy sink with piecewise stiffness. J Sound Vib 463:114971

    Google Scholar 

  30. Li X, Liu K, Xiong L, Tang L (2021) Development and validation of a piecewise linear nonlinear energy sink for vibration suppression and energy harvesting. J Sound Vib 503:116104

    Google Scholar 

  31. Cao Y, Yao H, Li Q, Yang P, Wen B (2020) Vibration mitigation and dynamics of a rotor-blade system with an attached nonlinear energy sink. Int J Non-Linear Mech 127:103614

    Google Scholar 

  32. Cao Y, Yao H, Han J, Li Z, Wen B (2020) Application of non-smooth NES in vibration suppression of rotor-blade systems. Appl Math Model 87:351–371

    MathSciNet  MATH  Google Scholar 

  33. Yao H, Cao Y, Ding Z, Wen B (2019) Using grounded nonlinear energy sinks to suppress lateral vibration in rotor systems. Mech Syst Signal Process 124:237–253

    Google Scholar 

  34. Wang D, Hao Z, Chen Y, Zhang Y (2018) Dynamic and resonance response analysis for a turbine blade with varying rotating speed. J Theor Appl Mech 56(1):31–42

    Google Scholar 

  35. Ahmadabadi ZN (2019) Nonlinear energy transfer from an engine crankshaft to an essentially nonlinear attachment. J Sound Vib 443:139–154

    Google Scholar 

  36. Haris A, Motato E, Theodossiades S, Rahnejat H, Kelly P, Vakakis A, Bergman LA, McFarland DM (2017) A study on torsional vibration attenuation in automotive drivetrains using absorbers with smooth and non-smooth nonlinearities. Appl Math Model 46:674–690

    MathSciNet  MATH  Google Scholar 

  37. Haris A, Alevras P, Mohammadpour M, Theodossiades S, Mahony MO (2020) Design and validation of a nonlinear vibration absorber to attenuate torsional oscillations of propulsion systems. Nonlinear Dyn 100(1):1–17

    Google Scholar 

  38. Haris A, Motato E, Theodossiades S, Mohammadpour M, Rahnejat H, Kelly P, Vakakis AF, Mcfarland DM, Bergman LA (2017) Targeted energy transfer and modal energy redistribution in automotive drivetrains. Nonlinear Dyn 87(1):169–190

    MATH  Google Scholar 

  39. Haris A, Alevras P, Mohammadpour M, Theodossiades S, Rahnejat H, Mahony MO, Vakakis AF, Bergman LA, McFarland DM (2017) On the effect of multiple parallel nonlinear absorbers in palliation of torsional response of automotive drivetrain. Int J Non-Linear Mech 96:22–35

    Google Scholar 

  40. Savadkoohi AT, Lamarque CH (2013) Dynamics of coupled DAHL type and non-smooth systems at different scales of time. Int J Bifurc Chaos 23(07):1350114

    MATH  Google Scholar 

  41. Yao H, Cao Y, Zhang S, Wen B (2018) A novel energy sink with piecewise linear stiffness. Nonlinear Dyn 94(3):2265–2275

    Google Scholar 

  42. Cao Y, Yao H, Li H, Jin D (2022) Torsional vibration dynamics of a gear-shafting system attaching a nonlinear energy sink. Mech Syst Signal Process 176:109172

    Google Scholar 

  43. Cao Y, Li Z, Dou J, Jia R, Yao H (2022) An inerter nonlinear energy sink for torsional vibration suppression of the rotor system. J Sound Vib 537:117184

    Google Scholar 

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Acknowledgements

The authors would like to gratefully acknowledge the National Natural Science Foundation of China (Grant No. 52075084) and the Foundation of Equipment Pre-research Area of China (Grant No. 50910050302) for the financial support for this study.

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Authors and Affiliations

  1. School of Mechanical Engineering and Automation, Northeastern University, Shenyang, 110819, Liaoning, People’s Republic of China

    Yanbo Cao, Hongliang Yao, Jinxin Dou & Chao Wu

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  1. Yanbo Cao
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  2. Hongliang Yao
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  4. Chao Wu
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Correspondence to Hongliang Yao.

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Cao, Y., Yao, H., Dou, J. et al. Torsional vibration suppression of rotor systems using a rubber-based nonlinear energy sink. Meccanica 58, 565–585 (2023). https://doi.org/10.1007/s11012-023-01637-6

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