Design and vibration reduction of multi-directional nonlinear energy sink

PDF(2875 KB)

Journal of Vibration and Shock ›› 2025, Vol. 44 ›› Issue (9) : 1-9.

VIBRATION THEORY AND INTERDISCIPLINARY RESEARCH

Design and vibration reduction of multi-directional nonlinear energy sink

MAO Xiaoye*, FANG Tiancheng, DING Hu

Author information +

History +

Abstract

Nonlinear energy sink (NES) has broad application prospects in passive control.However, studies in this filed mainly focus on unidirectional vibration absorbers to limit its applicability to multi-directional vibrations in practical applications.Here, a multi-directional NES was designed using 2 sets of mutually orthogonal steel wire structures to realize adaptive vibration absorption in any direction of a single vibrator space.Multi-directional vibration governing equations of the system were established based on Lagrange equation, and the harmonic balance method was used for approximate analytical analysis of the system’s steady-state response.The fourth-order Runge-Kutta method was used for numerical verification, and then the vibration reduction effect of the multi-directional NES was studied.The results showed that the multi-directional single vibrator NES can effectively suppress multi-directional vibrations and it is equally effective for any unidirectional excitation. This study can provide a reference for application and design of NES in multi-directional vibration control.

Key words

nonlinear energy sink (NES) / passive control / harmonic balance method / multi-directional vibration control

Cite this article

EndNote

Ris (Procite)

Bibtex

Download Citations

MAO Xiaoye, FANG Tiancheng, DING Hu. Design and vibration reduction of multi-directional nonlinear energy sink[J]. Journal of Vibration and Shock, 2025, 44(9): 1-9

References

[1] 鲁正, 王自欣, 吕西林. 非线性能量阱技术研究综述 [J]. 振动与冲击, 2020, 39(4): 1-16.
LU Z, WANG Z X, LÜ X L. A review on nonlinear energy sink technology [J]. Journal of Vibration and Shock, 2020，39( 4) : 1-16．
[2] 时成龙, 张纪刚, 程赟. 非线性能量阱减振的研究进展 [J]. 地震工程与工程振动, 2021, (2): 162-174.
SHI C L, ZHANG J G, CHENG Y. Researehprogress on nonlinear energy sink vibration reduetion [J]. Earthquake Engineering and Engineering Vibration, 2021,41(2):162-174.
[3] Vakakis A F. Inducing passive nonlinear energy sinks in vibrating systems [J]. Journal of Vibration and Acoustics-Transactions of the Asme, 2001, 123(3): 324-332.
[4] Wang G X, Ding H. Mass design of nonlinear energy sinks [J]. Engineering Structures, 2022, 250: 113438.
[5] Zhang W Y, Niu M Q, Chen L Q. Vibration reduction of a Timoshenko beam with multiple parallel nonlinear energy sinks [J]. Applied Sciences, 2022, 12(18): 9008.
[6] Khazaee M, Khadem S, Moslemi A, et al. A comparative study on optimization of multiple essentially nonlinear isolators attached to a pipe conveying fluid [J]. Mechanical Systems and Signal Processing, 2020, 141: 106442.
[7] Chen J N, Zhang W, Yao M H, et al. Vibration reduction in truss core sandwich plate with internal nonlinear energy sink [J]. Composite Structures, 2018, 193: 180-188.
[8] Chen H Y, Mao X Y, Ding H, et al. Elimination of multimode resonances of composite plate by inertial nonlinear energy sinks [J]. Mechanical Systems and Signal Processing, 2020, 135: 106383.
[9] Dou J X, Li Z P, Cao Y B, et al. Magnet based bi-stable nonlinear energy sink for torsional vibration suppression of rotor system [J]. Mechanical Systems and Signal Processing, 2023, 186: 109859.
[10] Cao Y B, Yao H L, Li H, et al. Torsional vibration dynamics of a gear-shafting system attaching a nonlinear energy sink [J]. Mechanical Systems and Signal Processing, 2022, 176: 109172.
[11] 刘宗通, 马建军, 郭颖. 有限深度介质上梁非线性能量汇减振的Winkler地基实现 [J]. 振动与冲击, 2024, 43(1): 237-245.
LIU Z T, MA J J, GUO Y. Nonlinear energy sink for vibration reduction of a beam on finite depthmedium based on Winkler foundation [J]. Journal of Vibration and Shock, 2024, 43(1): 237-245.
[12] Wierschem N E, Luo J, Al-Shudeifat M, et al. Experimental testing and numerical simulation of a six-story structure incorporating two-degree-of-freedom nonlinear energy sink [J]. Journal of Structural Engineering, 2014, 140(6): 04014027.
[13] Zuo H R, Zhu S Y. Bistable track nonlinear energy sinks with nonlinear viscous damping for impulsive and seismic control of frame structures [J]. Engineering Structures, 2022, 272: 114982.
[14] 闫旭, 陈建恩, 董博康, 等. 弹磁强化能量阱瞬态动力学响应实验研究 [J]. 实验力学, 2023, 38(01): 131-141.
YAN X, CHEN J N, DONG B K, et al. Experimental research on transient dynamic response of elastic magnetism reinforced energy sink [J]. Journal of Experimental Mechanics, 2023, 38(1): 131-141.
[15] 张文勇, 牛牧青, 陈立群. 含串联非线性能量汇的整星系统吸振效果研究 [J]. 振动与冲击, 2020, 39(21): 151-155.
ZHANG W Y, NIU M Q, CHEN L Q. Vibration absorption effect of whole satellite system with series nonlinear energy sink [J]. Journal of Vibration and Shock, 2020, 39(21): 151-155.
[16] Yang K, Zhang Y W, Ding H, et al. Nonlinear energy sink for whole-spacecraft vibration reduction [J]. Journal of Vibration and Acoustics, 2017, 139(2): 021011.
[17] Bergeot B, Bellizzi S. Steady-state regimes prediction of a multi-degree-of-freedom unstable dynamical system coupled to a set of nonlinear energy sinks [J]. Mechanical Systems and Signal Processing, 2019, 131: 728-750.
[18] 甄冬, 李堃, 刘晓昂, 等. 非线性能量阱对汽车车身垂向振动的抑制效果 [J]. 中国机械工程, 2022, 33(01): 24-33.
ZHEN D, LI K, LIU X, et al. Suppression Effectiveness of NES for Vehicle Body Vertical Vibrations [J]. China Mechanical Engineering, 2022, 33(1): 24-33.
[19] 薛继仁, 陈立群, 张业伟, 等. 单自由度NES在高斯白噪声随机激励下的响应分析 [J]. 振动与冲击, 2020, 39(12): 235-241.
XUE J R, CHEN L Q, ZHANG Y W, et al. Response analysis of single degree of freedom NES under random excitation ofgaussian white oise [J]. Journal of Vibration and Shock, 2020, 39(12): 235-241.
[20] Al-Shudeifat M A, Wierschem N, Quinn D D, et al. Numerical and experimental investigation of a highly effective single-sided vibro-impact non-linear energy sink for shock mitigation [J]. International journal of non-linear mechanics, 2013, 52: 96-109.
[21] Zang J, Yuan T C, Lu Z Q, et al. A lever-type nonlinear energy sink [J]. Journal of Sound and Vibration, 2018, 437: 119-134.
[22] Zhang Z, Lu Z Q, Ding H, et al. An inertial nonlinear energy sink [J]. Journal of Sound and Vibration, 2019, 450: 199-213.
[23] 高志通, 方勃, 张振. 弹性梁中端惯容型非线性能量汇振动抑制研究 [J]. 振动与冲击, 2022, 41(8): 311-322.
GAO Z T, FANG B, ZHANG Z. A study on nonlinear energy sink of inertia capacity in the middle of an elastie beam [J]. Journal of Vibration and Shock, 2022, 41(8): 311-322.
[24] 刘志彬, 谭平, 王菁菁, 等. 新型非对称惯容NES减震控制性能研究 [J]. 振动与冲击, 2023, 42(02): 116-125.
LIU Z B, TAN P, WANG J J, et al. Performance analysis of a novel asymmetric inerter NES for seismic response mitigation [J]. Journal of Vibration and Shock, 2023, 42(2): 116-125.
[25] 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.
[26] Dekemele K, Habib G, Loccufier M. The periodically extended stiffness nonlinear energy sink [J]. Mechanical Systems and Signal Processing, 2022, 169: 108706.
[27] Zeng Y C, Ding H, Du R H, et al. Micro-amplitude vibration suppression of a bistable nonlinear energy sink constructed by a buckling beam [J]. Nonlinear Dynamics, 2022, 108(4): 3185-3207.
[28] Wang Y, Wang P L, Meng H D, et al. Nonlinear vibration and dynamic performance analysis of the inerter-based multi-directional vibration isolator [J]. Archive of Applied Mechanics, 2022, 92(12): 3597-3629.
[29] Li Y Q, Xiao Y, Guo J J, et al. Single-phase metabeam for three-directional broadband vibration suppression [J]. International Journal of Mechanical Sciences, 2022, 234: 107683.
[30] Shuai C G, Li B Y, Ma J G. A novel multi-directional vibration isolation system with high-static–low-dynamic stiffness [J]. Acta Mechanica, 2022, 233(12): 5199-5214.
[31] Saeed A S, AL-Shudeifat M A, Cantwell W J, et al. Two-dimensional nonlinear energy sink for effective passive seismic mitigation [J]. Communications in Nonlinear Science and Numerical Simulation, 2021, 99: 105787.