An efficient wavelet finite element method in fault prognosis of incipient crack

The method of constructing any scale wavelet finite element (WFE) based on the one-dimensional or two-dimensional Daubechies scaling functions was presented, and the corresponding WFE adaptive lifting algorithm was given. In order to obtain the nested increasing approximate subspaces of multiscale finite element, the Daubechies scaling functions with the properties of multi-resolution analysis were employed as the finite element interpolating functions. Thus, the WFE could adaptively mesh the singularity domain caused by local cracks, which resulted in better approximate solutions than the traditional finite element methods. The calculations of natural frequencies of cracked beam were used to check the accuracy of given methods. In addition, the results of cracked cantilever beam and engineering application were satisfied. So, the current methods can provide effective tools in the numerical modeling of the fault prognosis of incipient crack.

作 者： CHEN Xuefeng HE Zhengjia LI Bing XIANG Jiawei   作者單位： School of Mechanical Engineering, State Key Laboratory for Manufacturing Systems Engineering, Xi'an Jiaotong University, Xi'an 710049, China  刊 名： 中國科學(xué)E輯（英文版）  SCI 英文刊名： SCIENCE IN CHINA SERIES E:TECHNOLOGICAL SCIENCES  年，卷(期)： 2006 49(1)  分類號： O6  關(guān)鍵詞： crack   fault prognosis   wavelet finite element   singularity  

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