Identifying Nonlinear Damping Parameters of Hydraulic Engine Mount using Volterra Series Theory
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摘要: 液阻悬置作为一种典型的非线性系统, 其在不同激励下有着良好的动特性, 而动特性又与悬置参数有着密切联系, 所以本文基于Volterra级数理论, 以惯性通道-浮动解耦盘式液阻悬置为研究对象, 提出了该液阻悬置非线性阻尼滞后角和其液体阻尼机构非线性阻尼参数的识别方法, 可在知道输出和部分结构参数的情况下来较为简单的获得液体阻尼机构的阻尼参数, 且在一定范围的激励频率下得到的该阻尼参数识别值与实验得到的参数值之间的误差能保持在3%以内。另外由Volterra级数理论识别得到的液阻悬置阻尼滞后角已由平均法对比验证, 同样表现出了较好的一致性。
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关键词:
- 液阻悬置 /
- Volterra级数 /
- 非线性阻尼参数 /
- 参数识别
Abstract: A hydraulic engine mount is a typical non-linear system. It has good dynamic characteristics under different excitations, and the dynamic characteristics are closely related to the suspension parameters. Therefore, based on the Volterra series theory, this paper studies the inertial track floating and decoupling of the hydraulic engine mount and proposes a method for identifying its nonlinear damping lag angle and the nonlinear damping parameters of the liquid damping mechanism. Its damping parameters are obtained when the output and some structural parameters are known, and the error between the damping parameter value obtained with a certain range of excitation frequencies and the experimental parameter value can be kept within 3%. The method is used to compare and verify the damping lag angle of the hydraulic engine mount identified with the Volterra series theory; the comparison shows good consistency with the experimental results. -
表 1 由试验法获得的部分液阻悬置参数值
参数 数值 Ai/m2 5.72×10-5 Ad/m2 2.3×10-3 Ap/m2 5.027×10-3 Bi/(Ns·m-1) 4.83×10-3 Bd/(Ns·m-1) 2.9 C1/(m5·N-1) 4.6×10-10 C2/(m5·N-1) 4.6×10-8 Mi/kg 0.37×10-2 Md/kg 2.645×10-2 E/(Ns·m-1) 2.909 5 Δ/m 1×10-3 Kr/(N·m-1) 266×103 Br/(Ns·m-1) 2×104 
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表 2 低频范围内的识别值
激励频率f/Hz 阻尼参数识别值E/(Ns·m-1) 相对误差/% 1 2.892 7 0.58 2 2.939 5 1.03 3 2.951 2 1.43 4 2.967 8 2 5 2.957 0 1.63 6 2.944 7 1.21 7 2.943 6 1.17 8 2.946 4 1.27 9 2.948 7 1.35 10 2.945 6 1.24
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表 3 高频范围内的识别值
激励频率f/Hz 阻尼参数识别值E/(Ns·m-1) 相对误差/% 20 2.970 3 2.09 30 2.959 0 1.70 40 2.954 5 1.55 50 2.976 5 2.30 60 2.971 2 2.12 70 2.966 1 1.95
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[1] GEISBERGER A, KHAJEPOUR A, GOLNARAGHI F. Non-linear modelling of hydraulic mounts: theory and experiment[J]. Journal of Sound and Vibration, 2002, 249(2): 371-397 doi: 10.1006/jsvi.2001.3860 [2] LI Y, JIANG J Z, NEILD S A. Optimal fluid passageway design methodology for hydraulic engine mounts considering both low and high frequency performances[J]. Journal of Vibration and Control, 2019, 25(21-22): 2749-2757 doi: 10.1177/1077546319870036 [3] CHRISTOPHERSON J, JAZAR G N. Dynamic behavior comparison of passive hydraulic engine mounts. Part 1: mathematical analysis[J]. Journal of Sound and Vibration, 2006, 290(3-5): 1040-1070 doi: 10.1016/j.jsv.2005.05.008 [4] TURNIP A, HONG K S, PARK S. Modeling of a hydraulic engine mount for active pneumatic engine vibration control using the extended Kalman filter[J]. Journal of Mechanical Science and Technology, 2009, 23(1): 229-236 doi: 10.1007/s12206-008-1105-2 [5] ZHOU D W, ZUO S G, WU X D. A lumped parameter model concerning the amplitude-dependent characteristics for the hydraulic engine mount with a suspended decoupler[C]//Michigan WCX SAE World Congress Experience. SAE International, 2019 [6] SAKONG H G, HUR G, KIM K J, et al. Modal and forced response analysis of vehicle systems with latent vibration modes due to hydraulic mounts[J]. Journal of Vibration and Acoustics, 2020, 142(4): 041010 doi: 10.1115/1.4046682 [7] CHENG C M, PENG Z K, ZHANG W M, et al. Volterra-series-based nonlinear system modeling and its engineering applications: a state-of-the-art review[J]. Mechanical Systems and Signal Processing, 2017, 87: 340-364 doi: 10.1016/j.ymssp.2016.10.029 [8] LEE G M. Estimation of non-linear system parameters using higher-order frequency response functions[J]. Mechanical Systems and Signal Processing, 1997, 11(2): 219-228 doi: 10.1006/mssp.1996.0080 [9] CHATTERJEE A. Identification and parameter estimation of a bilinear oscillator using Volterra series with harmonic probing[J]. International Journal of Non-Linear Mechanics, 2010, 45(1): 12-20 doi: 10.1016/j.ijnonlinmec.2009.08.007 [10] PENG Z K, LANG Z Q, BILLINGS S A. Nonlinear parameter estimation for multi-degree-of-freedom nonlinear systems using nonlinear output frequency-response functions[J]. Mechanical Systems and Signal Processing, 2008, 22(7): 1582-1594 doi: 10.1016/j.ymssp.2008.03.011 [11] 陆黎明, 夏长高, 潘道远. 基于特征点法的液阻悬置集总参数模型参数识别[J]. 机械科学与技术, 2015, 34(10): 1580-1583 doi: 10.13433/j.cnki.1003-8728.2015.1019LU L M, XIA C G, PAN D Y. Lumped parameters model identification of hydraulically damped rubber mount based on characteristic frequency points method[J]. Mechanical Science and Technology for Aerospace Engineering, 2015, 34(10): 1580-1583 (in Chinese) doi: 10.13433/j.cnki.1003-8728.2015.1019 [12] 范让林, 张祥龙. 可变解耦膜刚度半主动液阻悬置研究[J]. 机械工程学报, 2015, 51(14): 108-114 https://www.cnki.com.cn/Article/CJFDTOTAL-JXXB201514015.htmFAN R L, ZHANG X L. Study on semi-active hydraulic mount with variable-stiffness decoupling membrane[J]. Journal of Mechanical Engineering, 2015, 51(14): 108-114 (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-JXXB201514015.htm [13] GHOSH C, PARMAR A, CHATTERJEE J. Challenges of hydraulic engine mount development for NVH refinement[C]//Michigan WCX SAE World Congress Experience. SAE International, 2018 [14] SCUSSEL O, DA SILVA S. The harmonic probing method for output-only nonlinear mechanical systems[J]. Journal of the Brazilian Society of Mechanical Sciences and Engineering, 2017, 39(9): 3329-3341 doi: 10.1007/s40430-017-0723-y [15] YANG G D, XU W, GU X D, et al. Response analysis for a vibroimpact Duffing system with bilateral barriers under external and parametric Gaussian white noises[J]. Chaos, Solitons & Fractals, 2016, 87: 125-135 [16] MARZBANI H, JAZAR R N, FARD M. Hydraulic engine mounts: a survey[J]. Journal of Vibration and Control, 2014, 20(10): 1439-1463 doi: 10.1177/1077546312456724 -
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