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Adaptive FEM Analysis for Crak Damage Detection of Frame Structure (Grant No-51608301，Principal Investigator: Dr. Yongliang Wang)

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The crack damage detection of frame structure is one of the central challenges in the research field of structure engineering, in which damage detection based on frequencies is the inverse problem of free vibration. The adaptive approach of finite element method (FEM) and finite element method of lines for one- and two-dimensional eigenproblems respectively were proposed, which had succeeded in a series of free vibration problems for beams, moderately thick plates and moderately thick shallow shells for error estimation and the error-averaging method for mesh refine. The mature adaptive approach for free vibration problems have paved the way for its further application in adaptive analysis of damage detection problems. The expected goal is to establish adaptive FEM strategy for accurate damage detection of cracks location, size and number. The analysis patterns of adaptive inverse and subspace iteration for free vibration of damage frame structure and adaptive Newton iteration of damage detection will be established by introducing the spring model for crack, and error-averaging method. The error between computed frequencies and actual frequencies decreasing and cracks residuals reducing gradually using both of the adaptive and Newton methods are the novel technologies. The proposed methodology in this study is expected to be characterized by accurate and efficient algorithm and reliable application for crack damage detection of variable cross-section and curvilinear frame structure, and hence possesses great potential of being a superior and competitive adaptive approach in theoretical and practical aspects.

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Computational Rock Mechanics Research Group
State Key Laboratory of Coal Resources and Safe Mining, China University of Mining and Technology (BJ)
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