Modelling and characteristic test for hydraulic mem-inerter device

doi:10.3785/j.issn.1008-973X.2021.03.002

Journal of ZheJiang University (Engineering Science)

2021, Vol. 55

Issue (3): 430-440 DOI: 10.3785/j.issn.1008-973X.2021.03.002

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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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

Received: 03 March 2020 Published: 25 April 2021

CLC:

U 463.33

Fund: 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）

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	Xiao-liang ZHANG
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Cite this article:

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.

URL:

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

液力忆惯容器装置建模与特性试验

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

Fig.1 Schematic of hydraulic mem-inerter device

Fig.2 Model of hydraulic mem-inerter device

Tab.1 Simulation parameters of mem-inerter

Fig.3 Inertial characteristic curves of mem-inerter

Fig.4 Test prototype of hydraulic mem-inerter device

Tab.2 Parameters of mem-inerter test prototype

Fig.5 Working principle of test rig

Fig.6 Test rig for mem-inerter prototype

Fig.7 Dry friction damping force

Fig.8 Comparison of theoretical and experimental values of output force for hydraulic mem-inerter device

Tab.3 RMS values of response amplitudes

Fig.9 Comparison of theoretical and experimental values of inertial force for hydraulic mem-inerter device

Fig.10 Diagram of velocity and momentum

Fig.11 Diagram of displacement and integral of momentum

Fig.12 Comparison of theoretical and experimental values of parasitic damping force for hydraulic mem-inerter device

Fig.13 Comparison of theoretical and experimental values of parasitic damping for hydraulic mem-inerter device


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