花萼状涡流阵列传感器裂纹扰动半解析模型构建
Semi-analytical Crack Perturbation Model Construction of Rosette Eddy Current Sensors
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摘要: 针对金属螺栓连接结构中螺栓孔位置处的裂纹损伤定量监测需求,在已有研究成果的基础之上,提出一种具有柔性平面特点的花萼状涡流阵列传感器,构建花萼状涡流阵列传感器裂纹扰动半解析模型,得到在三维结构裂纹下的传感器各感应通道扰动电压,并通过搭建实验装置验证裂纹扰动半解析模型的准确性。在模型构建过程中,通过对结构三维裂纹表面进行网格划分,以网格中心点处的自由电荷密度为未知待定系数,根据自由电荷边界条件以及扰动模型假设得到网格单元中心点处自由电荷密度所满足的线性方程组,并最终得到三维裂纹周围的自由电荷密度分布。裂纹扩展模拟实验结果表明,在3 MHz和6 MHz两种激励频率下,2A12-T4铝合金和不锈钢的扰动模型计算结果与实验测量结果比较吻合,传感器4个感应通道的扰动模型计算误差都在25%以内。Abstract: To monitor the crack damage located at the bolt hole of the metallic bolted-joint structure, based on the Ref. 18, the paper proposed a kind of rosette eddy current sensor with planar and flexible characteristics. Semi-analytical crack perturbation model of rosette eddy current sensors was constructed, and perturbation voltages of sensing channels under the three-dimension structural crack were obtained. Experiments were carried out to validate the model. During the model formulation, the surfaces of the three-dimension structural crack were meshed, and free charge density of each meshed cell center was defined as unknown parameter. According to the boundary condition of free charge and perturbation model assumption, the linear equations containing all unknown parameters were built, and the distribution of free charge density around the structural crack could be acquired via solving linear equations. The crack growth simulation experimental results show that perturbation models of 2A12-T4 aluminum alloy and stainless steel agree relatively well with experiment result under 3 MHz and 6 MHz stimulation frequencies, and perturbation model errors of four sensing channels are within 25 percent.