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浙江大学学报(工学版)  2021, Vol. 55 Issue (3): 430-440    DOI: 10.3785/j.issn.1008-973X.2021.03.002
机械工程     
液力忆惯容器装置建模与特性试验
张孝良(),耿灿,聂佳梅,高乔
江苏大学 汽车与交通工程学院,江苏 镇江 212013
Modelling and characteristic test for hydraulic mem-inerter device
Xiao-liang ZHANG(),Can GENG,Jia-mei NIE,Qiao GAO
School of Automotive and Traffic Engineering, Jiangsu University, Zhenjiang 212013, China
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摘要:

针对液力忆惯容器装置已有数学模型忽略因素过多的问题,考虑油液的惯性、动力学黏度以及装置内部的干摩擦,建立符合工程实际的非线性数学模型. 试制液力忆惯容器装置样机,并进行台架试验. 结果表明,当位移激励的频率较低时,液力忆惯容器装置提供的惯性力、黏滞阻尼力较小,可以近似等效为干摩擦阻尼器;当激励的频率较高时,装置等效为理想忆惯容器、非线性黏滞阻尼器、干摩擦阻尼器三元件并联. 装置的输出合力、惯性力、阻尼力试验值与仿真值最大偏差分别为5.70%、9.15%、5.47%,惯质特性曲线和寄生阻尼特性曲线的试验值与仿真值最大偏差分别为4.23%和8.50%,表明数学模型准确可靠,能够满足工程需要,为液力忆惯容器装置在减振系统中的应用奠定了基础.

关键词: 惯容器记忆元件非线性阻尼器非线性模型台架试验    
Abstract:

An advanced nonlinear mathematic model of the hydraulic mem-inerter device was established for engineering applications, considering the fluid mass, viscosity and dry frictions inside the device, since too many factors were ignored in the existing mathematical model. The mem-inerter prototype was fabricated and its bench test was carried on. Results show that the device can be seen as a dry friction damper under low frequency excitation, since the inertance force and the viscous damping force of the device are relatively small. The device under high frequency excitation should be modelled as a parallel connection of an ideal mem-inerter, a nonlinear viscous damper and a dry friction damper. The maximum deviations of the test values and the simulation values of the output force, inertial force and damping force were 5.70%, 9.15% and 5.47%, respectively. The maximum deviations of the test values and the simulation values of the characteristic curves for the mem-inerter and damper were 4.23% and 8.50%. Results indicate a high accuracy of the established nonlinear modeling. The mem-inerter device is proved to be able to meet the project needs, which lays a foundation for applications of the mem-inerter in vibration systems.

Key words: inerter    memory element    nonlinear damper    nonlinear model    bench test
收稿日期: 2020-03-03 出版日期: 2021-04-25
CLC:  U 463.33  
基金资助: 国家自然科学基金资助项目(51805223);江苏省六大人才高峰资助项目(2016-GDZB-097)
作者简介: 张孝良(1979—),男,副教授,从事车辆动态性能模拟与控制研究. orcid.org/0000-0002-5368-3664. E-mail: zxl1979@ujs.edu.cn
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引用本文:

张孝良,耿灿,聂佳梅,高乔. 液力忆惯容器装置建模与特性试验[J]. 浙江大学学报(工学版), 2021, 55(3): 430-440.

Xiao-liang ZHANG,Can GENG,Jia-mei NIE,Qiao GAO. Modelling and characteristic test for hydraulic mem-inerter device. Journal of ZheJiang University (Engineering Science), 2021, 55(3): 430-440.

链接本文:

http://www.zjujournals.com/eng/CN/10.3785/j.issn.1008-973X.2021.03.002        http://www.zjujournals.com/eng/CN/Y2021/V55/I3/430

图 1  液力忆惯容器装置示意图
图 2  液力忆惯容器装置模型
参数名称 符号 单位
活塞直径 D 0.1 m
活塞宽度 w 0.1 m
活塞杆直径 d 0.012 m
螺旋通道半径 rh 0.008 m
螺旋通道螺距 P 0.04 m
油液密度 ρ 1 000 kg·m?3
油液黏度 μ 0.01 Pa·s
表 1  忆惯容器仿真参数
图 3  忆惯容器惯质特性曲线
图 4  液力忆惯容器装置样机
名称 符号 单位
工作行程 ? 0.1 m
活塞直径 D 0.05 m
活塞杆直径 d 0.02 m
活塞宽度 w 0.13 m
螺旋通道半径 rh 0.004 8 m
螺旋通道螺距 P 0.014 m
活塞与缸壁间隙 Δ 0.01 m
螺旋槽曲率半径 Rh 0.022 5 m
油液密度 ρ 0.76 kg·m?3
样机总质量 m 6.5 kg
表 2  液力忆惯容器装置的样机参数
图 5  试验台工作原理
图 6  忆惯容器样机试验台架
图 7  干摩擦阻尼力
图 8  液力忆惯容器装置输出力理论值与试验值对比
fr /Hz 观察值 输出力
理论值/kN 试验值/kN 偏差/%
0.5 上幅值 0.242 0.294 20.0
0.5 下幅值 ?0.246 ?0.278 13.1
1.0 上幅值 0.351 0.364 3.8
1.0 下幅值 ?0.367 ?0.346 5.7
1.5 上幅值 0.556 0.577 3.7
1.5 下幅值 ?0.592 ?0.613 3.5
2.0 上幅值 0.781 0.811 3.7
2.0 下幅值 ?0.847 ?0.878 3.6
2.5 上幅值 1.107 1.067 3.6
2.5 下幅值 ?1.206 ?1.167 3.2
4.0 上幅值 2.497 2.594 4.0
4.0 下幅值 ?2.767 ?2.653 4.1
表 3  装置输出力幅值的均方根
图 9  液力忆惯容器装置惯性力理论值与试验值对比
图 10  相对速度-动量曲线
图 11  相对位移-动量积分曲线
图 12  液力忆惯容器装置寄生阻尼力理论值与试验值对比
图 13  液力忆惯容器装置寄生阻尼理论值与试验值对比
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