Vibration Suppression Study of Parallel Combined Damping Nonlinear Energy Sink on Piecewise Linear Systems
Journal: Architecture Engineering and Science DOI: 10.32629/aes.v4i4.1460
Abstract
The Nonlinear Energy Sink (NES) is a passive control device capable of achieving targeted energy transfer and effectively suppressing system vibrations. This paper conducts dynamic modeling and vibration suppression analysis of parallel combined damping nonlinear energy sinks in piecewise linear systems. Initially, the system's amplitude-frequency response curve is obtained using the harmonic balance method, validated by the Runge-Kutta method for accuracy. Subsequently, an analysis is performed on the vibration reduction capabilities of the parallel combined damping nonlinear energy sink and the influence of parameters on its vibration suppression effectiveness. Finally, the study investigates changes in the main system's maximum response amplitude with varying damping under different stiffness conditions and determines optimal parameter values based on trend analysis. Research findings indicate that the vibration reduction performance of the parallel combined damping nonlinear energy sink surpasses that of a single connected damping nonlinear energy sink. Furthermore, after parameter optimization, the main system achieves superior vibration reduction effects.
Keywords
Nonlinear Energy Sink; Harmonic Balance Method; Vibration Reduction Performance; Parameter Optimization
Full Text
PDF - Viewed/Downloaded: 2 TimesReferences
[1]Balaji P S, Karthik SelvaKumar K. Applications of nonlinearity in passive vibration control: a review[J]. Journal of Vibration Engineering & Technologies, 2021, 9: 183-213.
[2]Lu Z, Wang Z, Zhou Y, et al. Nonlinear dissipative devices in structural vibration control: A review[J]. Journal of Sound and Vibration, 2018, 423: 18-49.
[3]Tehrani G G, Dardel M, Pashaei M H. Passive vibration absorbers for vibration reduction in the multi-bladed rotor with rotor and stator contact[J]. Acta Mechanica, 2020, 231: 597-623.
[4]Charlemagne S, Lamarque C H, Savadkoohi A T. Dynamics and energy exchanges between a linear oscillator and a nonlinear absorber with local and global potentials[J]. Journal of Sound and Vibration, 2016, 376: 33-47.
[5]Sarmeili M, Ashtiani H R R, Rabiee A H. Nonlinear energy sinks with nonlinear control strategies in fluid-structure simulations framework for passive and active FIV control of sprung cylinders[J]. Communications in Nonlinear Science and Numerical Simulation, 2021, 97: 105725.
[6]Saeed A S, Abdul Nasar R, AL-Shudeifat M A. A review on nonlinear energy sinks: designs, analysis and applications of impact and rotary types[J]. Nonlinear Dynamics, 2023, 111(1): 1-37.
[7]Ding H, Chen L Q. Designs, analysis, and applications of nonlinear energy sinks[J]. Nonlinear Dynamics, 2020, 100(4): 3061-3107.
[8]Wang J, Wang B, Wierschem N E, et al. Dynamic analysis of track nonlinear energy sinks subjected to simple and stochastice excitations[J]. Earthquake Engineering & Structural Dynamics, 2020, 49(9): 863-883.
[9]Li H, Li A, Kong X. Design criteria of bistable nonlinear energy sink in steady-state dynamics of beams and plates[J]. Nonlinear Dynamics, 2021, 103(2): 1475-1497.
[10]Zang J, Cao R Q, Zhang Y W. Steady-state response of a viscoelastic beam with asymmetric elastic supports coupled to a lever-type nonlinear energy sink[J]. Nonlinear Dynamics, 2021, 105: 1327-1341.
[11]Chen J E, Sun M, Hu W H, et al. Performance of non-smooth nonlinear energy sink with descending stiffness[J]. Nonlinear Dynamics, 2020, 100: 255-267.
[12]Geng X F, Ding H, Mao X Y, et al. Nonlinear energy sink with limited vibration amplitude[J]. Mechanical Systems and Signal Processing, 2021, 156: 107625.
[13]Wang G X, Ding H, Chen L Q. Performance evaluation and design criterion of a nonlinear energy sink[J]. Mechanical Systems and Signal Processing, 2022, 169: 108770.
[14]Yang T, Hou S, Qin Z H, et al. A dynamic reconfigurable nonlinear energy sink[J]. Journal of Sound and Vibration, 2021, 494: 115629.
[15]Ji J C, Zhang N. Suppression of the primary resonance vibrations of a forced nonlinear system using a dynamic vibration absorber[J]. Journal of Sound and Vibration, 2010, 329(11): 2044-2056.
[16]Piccirillo V. Suppression of chaos in nonlinear oscillators using a linear vibration absorber[J]. Meccanica, 2021, 56(2): 255-273.
[17]Wang Y, Li X, Shen Y. Vibration reduction mechanism of Van der Pol oscillator under low-frequency forced excitation by means of nonlinear energy sink[J]. International Journal of Non-Linear Mechanics, 2023, 152: 104389.
[18]Dang W, Wang Z, Chen L Q, et al. A high-efficient nonlinear energy sink with a one-way energy converter[J]. Nonlinear Dynamics, 2022, 109(4): 2247-2261.
[19]Bab S, Khadem S E, Shahgholi M, et al. Vibration attenuation of a continuous rotor-blisk-journal bearing system employing smooth nonlinear energy sinks[J]. Mechanical Systems and Signal Processing, 2017, 84: 128-157.
[20]Kong X, Li H, Wu C. Dynamics of 1-dof and 2-dof energy sink with geometrically nonlinear damping: application to vibration suppression[J]. Nonlinear Dynamics, 2018, 91: 733-754.
[21]Song W, Liu Z, Lu C, et al. Analysis of vibration suppression performance of parallel nonlinear energy sink[J]. Journal of Vibration and Control, 2023, 29(11-12): 2442-2453.
[22]Zhang Y, Kong X, Yue C, et al. Dynamic analysis of 1-dof and 2-dof nonlinear energy sink with geometrically nonlinear damping and combined stiffness[J]. Nonlinear Dynamics, 2021, 105(1): 167-190.
[23]Andersen D, Starosvetsky Y, Vakakis A, et al. Dynamic instabilities in coupled oscillators induced by geometrically nonlinear damping[J]. Nonlinear Dynamics, 2012, 67: 807-827.
[24]Andersen D K, Vakakis A F, Bergman L A. Dynamics of a system of coupled oscillators with geometrically nonlinear damping[C]//Nonlinear Modeling and Applications, Volume 2: Proceedings of the 28th IMAC, A Conference on Structural Dynamics, 2010. New York, NY: Springer New York, 2011: 1-7.
[25]Sui P, Shen Y J, Wang X N. A Comparison of Complex Variable Averaging Method and Other Approximation Techniques[J]. Journal of Vibration and Shock, 2023, 42(10): 289-296. DOI: 10.13465/j.cnki.jvs.2023.10.034.
[26]Geng X F, Ding H. Two-modal resonance control with an encapsulated nonlinear energy sink[J]. Journal of Sound and Vibration, 2022, 520: 116667.
[2]Lu Z, Wang Z, Zhou Y, et al. Nonlinear dissipative devices in structural vibration control: A review[J]. Journal of Sound and Vibration, 2018, 423: 18-49.
[3]Tehrani G G, Dardel M, Pashaei M H. Passive vibration absorbers for vibration reduction in the multi-bladed rotor with rotor and stator contact[J]. Acta Mechanica, 2020, 231: 597-623.
[4]Charlemagne S, Lamarque C H, Savadkoohi A T. Dynamics and energy exchanges between a linear oscillator and a nonlinear absorber with local and global potentials[J]. Journal of Sound and Vibration, 2016, 376: 33-47.
[5]Sarmeili M, Ashtiani H R R, Rabiee A H. Nonlinear energy sinks with nonlinear control strategies in fluid-structure simulations framework for passive and active FIV control of sprung cylinders[J]. Communications in Nonlinear Science and Numerical Simulation, 2021, 97: 105725.
[6]Saeed A S, Abdul Nasar R, AL-Shudeifat M A. A review on nonlinear energy sinks: designs, analysis and applications of impact and rotary types[J]. Nonlinear Dynamics, 2023, 111(1): 1-37.
[7]Ding H, Chen L Q. Designs, analysis, and applications of nonlinear energy sinks[J]. Nonlinear Dynamics, 2020, 100(4): 3061-3107.
[8]Wang J, Wang B, Wierschem N E, et al. Dynamic analysis of track nonlinear energy sinks subjected to simple and stochastice excitations[J]. Earthquake Engineering & Structural Dynamics, 2020, 49(9): 863-883.
[9]Li H, Li A, Kong X. Design criteria of bistable nonlinear energy sink in steady-state dynamics of beams and plates[J]. Nonlinear Dynamics, 2021, 103(2): 1475-1497.
[10]Zang J, Cao R Q, Zhang Y W. Steady-state response of a viscoelastic beam with asymmetric elastic supports coupled to a lever-type nonlinear energy sink[J]. Nonlinear Dynamics, 2021, 105: 1327-1341.
[11]Chen J E, Sun M, Hu W H, et al. Performance of non-smooth nonlinear energy sink with descending stiffness[J]. Nonlinear Dynamics, 2020, 100: 255-267.
[12]Geng X F, Ding H, Mao X Y, et al. Nonlinear energy sink with limited vibration amplitude[J]. Mechanical Systems and Signal Processing, 2021, 156: 107625.
[13]Wang G X, Ding H, Chen L Q. Performance evaluation and design criterion of a nonlinear energy sink[J]. Mechanical Systems and Signal Processing, 2022, 169: 108770.
[14]Yang T, Hou S, Qin Z H, et al. A dynamic reconfigurable nonlinear energy sink[J]. Journal of Sound and Vibration, 2021, 494: 115629.
[15]Ji J C, Zhang N. Suppression of the primary resonance vibrations of a forced nonlinear system using a dynamic vibration absorber[J]. Journal of Sound and Vibration, 2010, 329(11): 2044-2056.
[16]Piccirillo V. Suppression of chaos in nonlinear oscillators using a linear vibration absorber[J]. Meccanica, 2021, 56(2): 255-273.
[17]Wang Y, Li X, Shen Y. Vibration reduction mechanism of Van der Pol oscillator under low-frequency forced excitation by means of nonlinear energy sink[J]. International Journal of Non-Linear Mechanics, 2023, 152: 104389.
[18]Dang W, Wang Z, Chen L Q, et al. A high-efficient nonlinear energy sink with a one-way energy converter[J]. Nonlinear Dynamics, 2022, 109(4): 2247-2261.
[19]Bab S, Khadem S E, Shahgholi M, et al. Vibration attenuation of a continuous rotor-blisk-journal bearing system employing smooth nonlinear energy sinks[J]. Mechanical Systems and Signal Processing, 2017, 84: 128-157.
[20]Kong X, Li H, Wu C. Dynamics of 1-dof and 2-dof energy sink with geometrically nonlinear damping: application to vibration suppression[J]. Nonlinear Dynamics, 2018, 91: 733-754.
[21]Song W, Liu Z, Lu C, et al. Analysis of vibration suppression performance of parallel nonlinear energy sink[J]. Journal of Vibration and Control, 2023, 29(11-12): 2442-2453.
[22]Zhang Y, Kong X, Yue C, et al. Dynamic analysis of 1-dof and 2-dof nonlinear energy sink with geometrically nonlinear damping and combined stiffness[J]. Nonlinear Dynamics, 2021, 105(1): 167-190.
[23]Andersen D, Starosvetsky Y, Vakakis A, et al. Dynamic instabilities in coupled oscillators induced by geometrically nonlinear damping[J]. Nonlinear Dynamics, 2012, 67: 807-827.
[24]Andersen D K, Vakakis A F, Bergman L A. Dynamics of a system of coupled oscillators with geometrically nonlinear damping[C]//Nonlinear Modeling and Applications, Volume 2: Proceedings of the 28th IMAC, A Conference on Structural Dynamics, 2010. New York, NY: Springer New York, 2011: 1-7.
[25]Sui P, Shen Y J, Wang X N. A Comparison of Complex Variable Averaging Method and Other Approximation Techniques[J]. Journal of Vibration and Shock, 2023, 42(10): 289-296. DOI: 10.13465/j.cnki.jvs.2023.10.034.
[26]Geng X F, Ding H. Two-modal resonance control with an encapsulated nonlinear energy sink[J]. Journal of Sound and Vibration, 2022, 520: 116667.
Copyright © 2023 Xingke Qi, Jianchao Zhang, Jun Wang
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License