Hilbert-Huang Transform And Research On Its Application In Analysis Of Dynamic Performance Of Structures

The theory of Hilbert-Huang Transform and its application in the analysis of the structural dynamic performance are comprehensively and systematically studied in this article.Firstly, the theory of the empirical mode decomposition and Hilbert transform are illustrated in detail. Because the strict mathematical theoretical basis hasn't been developed in HHT, many of problems may be encountered in its practical application such as the intrinsic mode function stop criterion,end effects,mode confusion and envelope fitting method. Some studies of these problems are made, and some improvements are presented to heighten the performance of the EMD. Numerical simulations demonstrate the validity of these improvements.Secondly, based on the HHT which is well-studied, the theory of HHT is applied to identify the vibration modal parameters such as modal frequency, modal damping ratio and modal shape from the dynamic response data of the structures. Some promising conclusions are achieved.Finally, modal testing is carried out to cantilever beam to collect structural dynamic corresponding data, then applying HHT to identify the modal parameters of the cantilever beam. The results show the effectiveness and validity of the HHT method...