Adaptive-scale damage detection strategy for plate structures based on wavelet finite element model
Adaptive-scale damage detection strategy for plate structures based on wavelet finite element model
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DOI：
10.12989/sem.2015.54.2.239
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发表时间：
2015-04
影响因子：
2.2
通讯作者：
Wen-Yu He;Songye Zhu
中科院分区：
文献类型：
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作者：
Wen-Yu He;Songye Zhu
基于薄板结构小波有限元模型，建立了一种自适应尺度损伤检测策略。以三次Hermite多小波的张量积为基本插值函数，导出了薄板结构的运动方程和相应的提升格式。利用模态应变能变化率对子单元损伤进行定位。随后，这种损伤自适应量化使用的损伤量化方程，这是推导出板结构运动微分方程。WFEM规模在空间上变化，并根据实际需要动态变化。数值算例清楚地表明，所提出的策略可以逐步定位和量化板损伤。该策略可以有效地运作方面的自由度在WFEM和振动测试中的传感器。
This study establishes an adaptive-scale damage detection strategy based on a wavelet finite element model (WFEM) for thin plate structures. Equations of motion and corresponding lifting schemes for thin plate structures are derived when the tensor products of cubic Hermite multi-wavelets are taken as the elemental interpolation functions. Sub-element damages are localized with the use of the change ratio of modal strain energy. Subsequently, such damages are adaptively quantified by using a damage quantification equation, which is deduced from differential equations of plate structure motion. WFEM scales are spatially varying and dynamically changing according to actual needs. Numerical examples clearly demonstrate that the proposed strategy can progressively locate and quantify plate damages. The strategy can operate efficiently in terms of the degrees-of-freedom in WFEM and sensors in the vibration test.