计算机应用研究2016，Vol.33Issue(10)：3021-3025,5.DOI:10.3969/j.issn.1001-3695.2016.10.034
基于非线性自回归时序模型的振动系统辨识
Identification based on GNAR model for vibration system
摘要
Abstract
This paper proposed a method based on GNAR model to identify the essential characteristics of linear and weak nonlinear vibration systems.Firstly,it proved the relationship between GNAR model and weak nonlinear system according to perturbation method of solving nonlinear differential equation and deduced the analytic expressions between GNAR model coef-ficients and the system frequency.Then it extracted the identification method based on GNAR model coefficients and its struc-ture to determine whether there was a linear or nonlinear system,and to identify the system frequency and the basic characte-ristics of nonlinear term.Finally it analyzed single freedom degree linear vibration systems and undamped Duffing vibration systems to test the effectiveness and accuracy of the identification method.The experimental results show that the proposed method has high accuracy and efficiency,and can be used to estimate the system dynamic characteristics.关键词
非线性自回归时序模型/振动系统/弱非线性/频率辨识Key words
GNAR model/vibration system/weak nonlinear/frequency identification分类
数理科学引用本文复制引用
陈茹雯,湛时时..基于非线性自回归时序模型的振动系统辨识[J].计算机应用研究,2016,33(10):3021-3025,5.基金项目
国家自然科学基金资助项目（51305194）；江苏省自然科学基金资助项目 （）
