Calculation of Equivalent Linear Damping Coefficient of a Magnetorheological Damper

Abstract

Abstract:

Based on modified Bouc_Wen model this paper analyzed the performance of MR damper, and the equivalent linear damping coefficient of MR damper was calculated. Based on the modified Bouc_Wen model simulation date, the relationship among the MR damper equivalent linear damping coefficient, control voltage and MR damper movement amplitude was established through the curve fitting regression analysis method, and its accuracy was verified. Results display that the equivalent linear damping coefficient model has higher accuracy, and the relative error is within 1%. For the vibration systems which contained strongly nonlinear and large damping coefficient of MR damper, the new model will greatly reduce the calculation of the vibration analysis and the stability study of the system in a constant frequency value. Besides the model also provides a theoretical basis for the applications of MR damper control.

Key words: magnetorheological(MR) damper, Bouc_Wen model, equivalent linear damping coefficient, curve fitting, least square method

摘要：

基于修正的Bouc_Wen模型分析了磁流变阻尼器的性能，并计算了其等效线性阻尼系数；基于修正的Bouc_Wen模型的仿真数据，通过曲线拟合回归分析方法建立了磁流变阻尼器等效线性阻尼系数与控制电压以及磁流变阻尼器运动振幅之间的关系模型，并验证了模型精度。研究结果显示，等效线性阻尼系数模型具有较高的精度，相对误差低于1%；对于应用强非线性磁流变阻尼器的振动系统，在给定频率下，利用等效线性阻尼系数模型可以有效提高系统振动及稳定性分析的计算效率。该研究为磁流变阻尼器的控制应用提供了理论依据。

关键词: 磁流变阻尼器, Bouc_Wen模型, 等效线性阻尼系数, 曲线拟合, 最小二乘法

CLC Number:

TH113.1

Guo Yaohui, Chen Enwei, Lu Yimin, Liu Zhengshi, Xia Zengqiang. Calculation of Equivalent Linear Damping Coefficient of a Magnetorheological Damper[J]. China Mechanical Engineering, 2014, 25(13): 1719-1723.

郭耀辉, 陈恩伟, 陆益民, 刘正士, 夏增强. 磁流变阻尼器等效线性阻尼系数计算[J]. 中国机械工程, 2014, 25(13): 1719-1723.

References

[1]Housner G W, Bergman L A，Caughey T K, et al. Structural Control：Past Present and Future[J]. Joumal of Engineering Mechanics，1997,123（9）: 897 -971.
[2]Carlson J D. MR Fluids and Devices in the Real Word[J]. International Journal of Modern Physics B, 2005, 19(7/9): 1463-1470.
[3]王修勇. 斜拉桥拉索振动控制新技术研究[D].长沙：中南大学，2002.
[4]周云，谭平. 磁流变阻尼控制理论与技术[M].北京：科学出版社，2007.
[5]Spencer B F Jr, Dyke S J, Sain M K, et al. Phenomenological Model for Magnetorheologieal Damper[J]. Journal of Engineering Mechanics, 1997,123（3）: 230-238.
[6]Li P, Kamath G M,Wereley N M. Analysis and Testing of a Linear Stroke Magnetorheological Damper[C]//Proceedings of the AIAA/ASME/AHS Adaptive Structures Forum. Long Beach，CA, 1998:2841-2856.
[7]夏品奇，岳海龙. 磁流变阻尼器性能及振动控制[J]. 航空动力学报, 2004, 19(3):305-309.
Xia Pinqi, Yue Hailong. Performance and Vibration Control of MR Damper[J]. Journal of Aerospace Power, 2004, 19(3): 305-309.
[8]陈大伟，顾宏斌，吴东苏. 基于磁流变阻尼器的起落架摆振半主动控制[J]. 中国机械工程，2010,21(12)：1401-1405.
Chen Dawei, Gu Hongbin,Wu Dongsu. Based on MR Damper the Semi-active Control of Landing Gear Shimmy[J]. China Mechanical Engineering, 2010, 21(12):1401-1405.
[9]黄友谦，李岳生. 数值逼近[M]. 北京：高等教育出版社，1987.
[10]李宏男，杨洁，李秀领. 磁流变阻尼器参数化动力学模型研究进展[J]. 大连理工大学学报，2004,44（4）：616-624.
Li Hongnan, Yang Jie, Li Xiuling. Progress in the Study of Parametric Dynamics Model of MR Damper[J]. Journal of Dalian University of Technology, 2004,44（4）：616-624.
[11]刘朝晖，李德建. 磁流变阻尼器的Bingham模型及其Simulink仿真分析[J]. 科技信息，2008（17）：363-365.
Liu Zhaohui, Li Dejian. Bingham Model and Simulink Simulation of MR Damper[J]. Science & Technology Information, 2008（17）：363-365.

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