非线性能量阱对汽车车身垂向振动的抑制效果

doi:10.3969/j.issn.1004-132X.2022.01.003

中国机械工程 ›› 2022, Vol. 33 ›› Issue (01): 24-33.DOI: 10.3969/j.issn.1004-132X.2022.01.003

非线性能量阱对汽车车身垂向振动的抑制效果

甄冬1,2;李堃1,2;刘晓昂1,2;张佳琪1,2

1.河北工业大学机械工程学院，天津，300130
2.天津市新能源汽车动力传动及安全技术重点实验室，天津，300130

出版日期:2022-01-10 发布日期:2022-01-19
通讯作者: 刘晓昂（通信作者），女， 1989年生，副教授。研究方向为汽车NVH控制。发表论文20余篇。E-mail：liuxiaoang@hebut.edu.cn。
作者简介:甄冬，男， 1982 年生，教授。研究方向为机械系统动力学、汽车振动与噪声控制技术。发表论文100余篇。E-mail：d.zhen@hebut.edu.cn。
基金资助:
国家自然科学基金（52175084，51705128，U20A20331）；
河北省自然科学基金（E2019202169）

Suppression Effectiveness of NES for Vehicle Body Vertical Vibrations

ZHEN Dong1,2;LI Kun1,2;LIU Xiaoang1,2;ZHANG Jiaqi1,2

1.School of Mechanical Engineering,Hebei University of Technology,Tianjin,300130
2.Tianjin Key Laboratory of Power Transmission and Safety Technology for New Energy Vehicles,Hebei University of Technology,Tianjin,300130

Online:2022-01-10 Published:2022-01-19

摘要/Abstract

摘要： 为控制动力总成激励引起的车身垂向振动，建立了车身增加立方刚度非线性能量阱和负刚度非线性能量阱的动力总成-车身-轮胎的三自由度汽车模型。基于复变量平均法分别推导了两个系统的慢变方程，研究了系统鞍结分岔边界条件，并对平衡点稳定性进行了分析。数值分析表明，优化后的立方刚度非线性能量阱能有效减小车身在其固有频率处的振动；与立方刚度非线性能量阱相比，负刚度非线性能量阱具有更好的减振效果。

关键词: 非线性能量阱, 复变量-平均法, 参数优化, 汽车车身, 振动抑制

Abstract: In order to control the vertical vibrations of the vehicle body caused by the excitation of powertrain, 3-DOF vehicle powertrain-body-tire models with cubic stiffness NES and negative stiffness NES on body were established. Based on the complex-averaging method, the slow-varying equations of the two systems were deduced, the saddle-junction bifurcation boundary conditions of the system were studied, and the stability of the equilibrium point was analyzed. Numerical analysis shows that the optimized cubic stiffness NES may effectively reduce the vibrations of the vehicle body at the natural frequency; the negative stiffness nonlinear energy sink has a better damping effect than that of the cubic stiffness nonlinear energy sink.

Key words: nonlinear energy sink(NES), complex-averaging method, parameter optimization, vehicle body, vibration suppression

中图分类号:

O322

甄冬, 李堃, 刘晓昂, 张佳琪, . 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 Dong, LI Kun, LIU Xiaoang, ZHANG Jiaqi, . Suppression Effectiveness of NES for Vehicle Body Vertical Vibrations[J]. China Mechanical Engineering, 2022, 33(01): 24-33.

参考文献

［1］VAKAKIS A F. Inducing Passive Nonlinear Energy Sinks in Vibrating Systems［J］. Journal of Vibration and Acoustics,2001, 123(3):324-332.
［2］JIANG X A, MCFARLAND D M, BERGMAN L A, et al. Steady State Passive Nonlinear Energy Pumping in Coupled Oscillators:Theoretical and Experimental Results［J］. Nonlinear Dynamics, 2003, 33:87-102.
［3］MANEVITCH L I. The Description of Localized Normal Modes in a Chain of Nonlinear Coupled Oscillators Using Complex Variables［J］. Nonlinear Dynamics, 2001, 25(1/3):95-109.
［4］ZANG J, CHEN L Q. Complex Dynamics of a Harmonically Excited Structure Coupled with a Nonlinear Energy Sink［J］. Acta Mechanics Sinica, 2017, 33(4):801-822.
［5］STAROSVETSKY Y, GENDELMAN O V. Strongly Modulated Response in Forced 2DOF Oscillatory System with Essential Mass and Potential Asymmetry［J］. Physica D:Nonlinear Phenomena, 2008, 237(13):1719-1733.
［6］STAROSVETSKY Y, GENDELMAN O V. Response Regimes of Linear Oscillator Coupled to Nonlinear Energy Sink with Harmonic Forcing and Frequency Detuning［J］. Journal of Sound and Vibration, 2008, 315(3):746-765.
［7］GENDELMAN O V, STAROSVETSKY Y, FELDMAN M. Attractors of Harmonically Forced Linear Oscillator with Attached Nonlinear Energy Sink I:Description of Response Regimes［J］. Nonlinear Dynamics, 2008, 51(1/2):31-46.
［8］HUANG Z L, ZHU W Q, SUZUKI Y. Stochastic Averaging of Strongly Nonlinear Oscillators under Combined Harmonic and White Noise Excitations［J］. Journal of Sound and Vibration, 2000, 238(2):233-256.
［9］刘良坤, 潘兆东, 谭平, 等. 非线性能量阱系统受基底简谐激励的参数优化分析［J］. 振动与冲击, 2019,38(22):36-43.
LIU Liangkun, PAN Zhaodong, TAN Ping, et al. Parameter Optimization Analysis of a Nonlinear Energy Sink System under Base Harmonic Excitation［J］. Journal of Vibration and Shock, 2019, 38(22):36-43.
［10］孔宪仁, 张也弛. 两自由度非线性吸振器在简谐激励下的振动抑制［J］. 航空学报, 2012, 33(6):1020-1029.
KONG Xianren, ZHANG Yechi. Vibration Supression of a Two-degree-of-freedom Nonlinear Energy Sink under Harmonic Excitation［J］. Acta Aeronautica et Astronautica Sinica,2012, 33(6):1020-1029.
［11］TRIPATHI A, GRVER P, KALMAR-NAGY T, et al. On Optimal Performance of Nonlinear Energy Sinks in Multiple-degree-of-freedom Systems［J］. Journal of Sound and Vibration, 2017, 388(3):272-297.
［12］刘丽兰, 任博霖, 李淑超, 等. 有色噪声激励下非线性吸振器的能量传递［J］. 中国机械工程, 2017, 28(8):888-893.
LIU Lilan, REN Bolin, LI Shuchao, et al. Energy Transfer of Nonlinear Vibration Absorber under Colored Noise Excitation［J］. China Mechanical Engineering, 2017, 28(8):888-893.
［13］SUN Y H, ZHANG Y W, DING H, et al. Nonlinear Energy Sink for a Flywheel System Vibration Reduction［J］. Journal of Sound and Vibration, 2018, 429:305-324.
［14］ZHANG W, LIU Y, CAO S, et al. Targeted Energy Transfer between 2-D Wing and Nonlinear Energy Sinks and Their Dynamic Behaviors［J］. Nonlinear Dynamics, 2017, 90(3):1841-1850.
［15］王悦. 轮毂电机驱动电动汽车悬架系统振动控制方法研究［D］. 沈阳:沈阳工业大学, 2018.
WANG Yue. Research on Vibration Control Method of Electric Vehicle Suspension System Driven by In-wheel Motors［D］. Shenyang:Shenyang University of Technology, 2018.
［16］ANUBI O M, CRANE C. A New Semiactive Variable Stiffness Suspension System Using Combined Skyhook and Nonlinear Energy Sink-based Controllers［J］. IEEE Transactions on Control Systems Technology, 2015, 23(3):937-947.
［17］FANG X, WEN J H, YIN J F, et al. Highly Efficient Continuous Bistable Nonlinear Energy Sink Composed of a Cantilever Beam with Partial Constrained Layer Damping［J］. Nonlinear Dynamics, 2017, 87(4), 2677-2695.
［18］QIU D H, LI T, SEGUY S. Efcient Targeted Energy Transfer of Bistable Nonlinear Energy Sink:Application to Optimal Design［J］. Nonlinear Dynamics, 2018, 92:443-461.
［19］姚红良, 刘帅, 王钰玮, 等. 可调永磁双稳态非线性能量阱及应用研究［J］. 振动与冲击, 2020, 39(3):127-133.
YAO Hongliang, LIU Shuai, WANG Yuwei, et al. Adjustable Permanent Magnet Bi-stable Nonlinear Energy Sink and Its Application［J］. Journal of Vibration and Shock, 2020, 39(3):127-133.
［20］刘晓昂. 基于整车振动控制的动力总成悬置系统设计方法［D］. 广州:华南理工大学, 2016.
LIU Xiaoang. Design Methods of the Powertrain Mounting SystemBased on Vibration Control of Vehicle Level［D］. Guangzhou:South China University of Technology, 2016.

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非线性能量阱对汽车车身垂向振动的抑制效果

Suppression Effectiveness of NES for Vehicle Body Vertical Vibrations

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