双线性时间序列建模在工程中的应用

Bilinear time series modeling applicable to engineering

采用“反复残差法”可对一些较为简单的双线性时间序列进行拟合，建立相应的双线性差分模型．机床爬行是一种非线性自激振动现象；通过对试验结果的观察，发现机床爬行表现出双线性特征．实测信号的建模及其非线性特征分析说明双线性时序分析为研究机床爬行等工程中出现的非线性现象提供了一个有用的工具．

It is valid for modeling of some bilinear time seies.The method is repeated residuelapproach.The climbing of machine tools is a nonlinear self-excited vibration.A view of the testresult indicates that the machine tool climbing presents bilinear features. Modeling and nonlinearanalysis of test signals show that , the bilinear time series analysis is useful tool for the research ofmachine tool climbing and other engineering nonlinear problems.