磁流变液阻尼器Bingham-多项式力学模型研究

doi:10.3901/JME.2017.14.179

机械工程学报 ›› 2017, Vol. 53 ›› Issue (14): 179-186.doi: 10.3901/JME.2017.14.179

磁流变液阻尼器Bingham-多项式力学模型研究

孔祥东^1,2, 李斌¹, 权凌霄^1,2, 易佰健¹, 张宇彤¹

1. 燕山大学机械工程学院秦皇岛 066004;
2. 燕山大学先进制造成形技术及装备国家地方联合工程研究中心秦皇岛 066004

收稿日期:2016-09-27 修回日期:2017-02-20 出版日期:2017-07-20 发布日期:2017-07-20
通讯作者: 权凌霄(通信作者),男,1976年出生,博士,副教授,硕士研究生导师。主要研究方向为液压系统振动噪声分析与控制。E-mail:lingxiao@ysu.edu.cn
作者简介:孔祥东,男,1959年出生,博士,教授,博士研究生导师。主要研究方向为电液伺服控制系统。E-mail:xdkong@ysu.edu.cn;李斌,男,1980年出生,博士研究生,助理研究员。主要研究方向为液压系统振动控制。E-mail:libin@ysu.edu.cn
基金资助:
国家自然科学基金（51375423，51505410）和国家重点基础研究发展计划（973计划，2014CB046405）资助项目。

Study on Dynamic Bingham-polynomial Model of a MRF Damper

KONG Xiangdong^1,2, LI Bin¹, QUAN Lingxiao^1,2, YI Baijian¹, ZHANG Yutong¹

1. College of Mechanical Engineering, Yanshan University, Qinhuangdao 066004;
2. Engineering Research Center of Advanced Forging & Stamping Technology and Science Built by Central Government and Local Government, Yanshan University, Qinhuangdao 066004

Received:2016-09-27 Revised:2017-02-20 Online:2017-07-20 Published:2017-07-20

摘要/Abstract

摘要： 针对磁流变液的流变特性，分别以磁流变液的Bingham力学模型、多项式力学模型和Bingham-多项式力学模型为理论基础，建立磁流变液阻尼器的力学模型，并对三种力学模型进行参数辨识，得到准确的数学模型。搭建一套双通道负载模拟试验台，通过试验研究对比三种力学模型模拟结果和试验测试结果，评估三种力学模型的精度和Runge振荡现象。研究结果表明，Bingham力学模型具有结构简单、物理量意义明确和较强的工程实用性等优点，但缺点是模型精度较差；六阶以上多项式力学模型模拟精度较高，但是随着多项式阶数的升高，模拟曲线的Runge振荡现象也越来越严重，而且曲线有可能失真；提出的Bingham-多项式力学模型能够同时解决传统多项式力学模型中低阶曲线精度低和高阶曲线易振荡的问题，模型的模拟结果和试验测试结果吻合精度较高。研究结果可为磁流变液阻尼器在振动控制领域中力学模型的选择提供参考。

关键词: Bingham-多项式力学模型, Bingham力学模型, 磁流变液阻尼器, 多项式力学模型

Abstract: Based on the rheological properties of the magnetorheological fluid in the magnetic field, the dynamic Bingham mechanical model, polynomial model and Bingham-polynomial model of the magnetorheological fluid damper are established, and each of the theoretical mathematical model is obtained after parameter identification. Each precision and Runge turbulence is evlauated for comparing the theoretical and experimental curves by building a dual-channel load simulation test bench as an experimental means. The results show that Bingham model structure is simple, physical meaning is clear, and practicability is strong, but its theoretical models and experimental results are quite different; polynomial model can better to simulate results in more than six, but with the increasing degree of the polynomial, the fitting curve Runge phenomenon will become more serious, and it may be distorted; Bingham-polynomial model is simple, and it can solve the problems that conventional polynomial of the low-order curve which is low precision, high-order curve which is easy to shock, and the experimental results are very good fitting effect. The results can provide the reference of magnetorheological fluid damper dynamics model of choice in the field of vibration control.

Key words: Bingham model, Bingham-polynomial model, MRF damper, polynomial model

中图分类号:

TH137

孔祥东, 李斌, 权凌霄, 易佰健, 张宇彤. 磁流变液阻尼器Bingham-多项式力学模型研究[J]. 机械工程学报, 2017, 53(14): 179-186.

KONG Xiangdong, LI Bin, QUAN Lingxiao, YI Baijian, ZHANG Yutong. Study on Dynamic Bingham-polynomial Model of a MRF Damper[J]. Journal of Mechanical Engineering, 2017, 53(14): 179-186.

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磁流变液阻尼器Bingham-多项式力学模型研究

Study on Dynamic Bingham-polynomial Model of a MRF Damper

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