A new procedure for detecting nonlinearity from transient data using the Gabor transform

被引：50

作者：

Spina, D

Valente, C

Tomlinson, GR

机构：

[1] UNIV G DANNUNZIO,DSSAR DEPT,I-65127 PESCARA,ITALY

[2] UNIV SHEFFIELD,DEPT MECH ENGN,SHEFFIELD S1 3JD,S YORKSHIRE,ENGLAND

来源：

NONLINEAR DYNAMICS | 1996年 / 11卷 / 03期

关键词：

identification; nonlinear systems; Gabor and Hilbert transforms;

D O I：

10.1007/BF00120719

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

A new technique for the identification of nonlinearity in multi-degree of freedom systems is presented. The technique is based on the joint application of the Gabor and the Hilbert transforms to the transient response of a system, The Gabor transform is used first to identify a time-variant matrix representing the spatial behaviour of the system. This matrix is then used to decouple the transient response into a set of uncoupled quasi-harmonic components. Finally the Hilbert transform is applied to identify the dissipative and restoring forces associated with each component which is equivalent to a single degree of freedom system. Numerical examples are supplied to help clarify the main advantages and the possible limitations of the method in the presence of strong nonlinearities and closely spaced frequencies.

引用

页码：235 / 254

页数：20

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