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自回归三谱切片及其关联维数应用研究
引用本文:陈庆堂,黄宜坚,宋一然.自回归三谱切片及其关联维数应用研究[J].福州大学学报(自然科学版),2012,40(2):209-216.
作者姓名:陈庆堂  黄宜坚  宋一然
作者单位:湄洲湾职业技术学院;华侨大学机电及自动化学院
基金项目:国家自然科学基金资助项目(50975098);福建省重大科技专项资助项目(2008HZ0002-1)
摘    要:建立了磁流变减振系统的振动测试信号的时间序列AR模型,绘制了AR三谱及其切片图,分析了不同工作频率与控制电流下系统的动力学性能变化,计算了各切片谱的关联维数.结果表明,各切片谱的复杂程度及变化规律与其关联维数存在对应关系,三谱切片及其关联维数可用于定性和量化衡量系统的动力学特性。

关 键 词:三谱切片  关联维数  动力学特性

Application study on autoregressive trispectrum slice and its correlation dimension
CHEN Qing-tang,HUANG Yi-jian,SONG Yi-ran.Application study on autoregressive trispectrum slice and its correlation dimension[J].Journal of Fuzhou University(Natural Science Edition),2012,40(2):209-216.
Authors:CHEN Qing-tang  HUANG Yi-jian  SONG Yi-ran
Institution:1.Meizhouwan Vocational Technical College,Putian,Fujian 351254,China; 2.College of Mechanical Engineering and Automation,Huaqiao University,Xiamen,Fujian 361021,China)
Abstract:The time series AR mode of the vibration signal for MR damping system is founded,the trispectrum and its slices are plotted,the change of the dynamic performance is analyzed under different working frequency and controlling current,correlation dimensions of the trispectrum slices are calculated.The result shows that,the correspondence between the complexity and rule of all slices and its correlation dimensions,the trispectrum slices and its correlation dimensions can also be evaluated for the dynamic performance analysis of the damping system from qualitative and quantitative analysis.
Keywords:trispectrum slice  correlation dimension  dynamic performance
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