基于分数阶的高阶磁流变振动系统建模与分析.pdfVIP

学兔兔 第35卷 第 12期 仪 器 仪 表 学 报 Vo1．35 N0．12 2014年12月 Chinese Journa1 of Scientific Instrument Dec．2014 基于分数阶 的高 阶磁 流变 振动系统建模与分析木 陈庆堂 ，黄宜坚 ，宋一然 (1．莆田学院机电工程学院 莆田 351100；2．华侨大学机电及自动化学院 厦门 361021) 摘 要：自主研制了磁流变减振器及其振动测试系统，建立了磁流变振动系统的高阶分数阶动力学模型，比较分析了四 种模型的建模精度，研究了分数阶模型主要特征参数与工况参数的关系，结合分形维数，建立了主要特征参数与系统性 能参数的关系模型，分析系统性能与模型参数的相关性。研究分析表明，基于高阶的分数阶模型在不同工况下均具有较 高的模拟精度，模型的阶数及模拟精度与控制电流、振动信号盒维数、系统的减振效率密切相关，反映了系统动力学特 性和复杂性，可作为磁流变减振器及振动系统性能预测与评价的依据。 关键词：分数阶模型：分形维：磁流变 中图分类号：TB381 TH137．52 文献标识码：A 国家标准学科分类代码：460 Modeling and analysis of high—order MR vibration system based on fractional order Chen Qingtang ，Huang Yijian2，Song Yiran (1．School ofMechanical and Electrical Engineering,Putian University,Putian 351100,China, 2．College ofMechanical Engineering andAutomation，Huaqiao University,Xiamen 361021，China) Abstract：Magnetorheological(MR)damper and its vibration test system was developed independently；the high order fractional order dynamics model of magnet0rheological vibration system was set up；the modeling accuracies of four kinds of models were analyzed and compared；the relationship between the main characteristic parameters of the fractiona1 order mode1 and the critical current parameters was studied；combining with the fractal dimension．the model of the relationship between the main characteristic parameters of the fractional order mode1 and the performance parameters of the system was established；the correlation of the system performance and the model parameters was analyzed，Analysis shows that the fractional order model based on high—or