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 引用本文: 杜成斌, 金立成, 吴志勤. 基于动力响应识别结构内部缺陷的损伤指标法[J]. 力学学报, 2019, 51(6): 1841-1855.
Du Chengbin, Jin Licheng, Wu Zhiqin. DAMAGE INDEX METHOD FOR DETECTION OF FLAWS BASED ON DYNAMIC RESPONSE[J]. Chinese Journal of Theoretical and Applied Mechanics, 2019, 51(6): 1841-1855.
 Citation: Du Chengbin, Jin Licheng, Wu Zhiqin. DAMAGE INDEX METHOD FOR DETECTION OF FLAWS BASED ON DYNAMIC RESPONSE[J]. Chinese Journal of Theoretical and Applied Mechanics, 2019, 51(6): 1841-1855.

DAMAGE INDEX METHOD FOR DETECTION OF FLAWS BASED ON DYNAMIC RESPONSE

• 摘要: 结构振动响应对于检测结构内部损伤具有重要意义,利用距离缺陷不同位置处传感器实测响应与无损结构响应之间的差异,定义各传感器的不同权重, 在此基础上构建结构不同位置处的损伤指标.研究中运用动力扩展有限元法结合水平集法描述结构内部缺陷以避免迭代计算中的网格重划分.首先, 在得到不同位置的传感器权重后,利用阈值函数使原来呈线性的权重转换为非线性权重,即对不同位置处权重大小进行放缩,并通过引入双三次插值得到结构的损伤指标及其分布,结合插值成像技术识别缺陷数目及其所在的大致区域; 最后,在利用智能算法进行反演的过程中, 先剔除不必要的传感器,再引入加权系数改进目标函数进行精确反演. 若干算例的分析表明:损伤指标法能够在缺陷数目未知的情况下通过正向建模快速得出缺陷具体数目及位置初步信息,引入加权系数的目标函数反分析方法相较于以往智能算法可以更快达到收敛,更加高效地得出缺陷精确位置. 为了进一步证明该模型的可行性及工程应用前景,运用本文建立的模型对含圆形孔洞缺陷的钢筋混凝土板进行了缺陷检测,得到了较好的反演结果, 证明提出的模型切实可行且具有一定的工程意义.

Abstract: ：The vibration response of the structure is of great importance for detecting the damage inside the structure. Based on the difference between the measured response of sensors at different positions in the real structure and the nondestructive structure, the different weights of each sensor are defined, and the damage indexes at different positions in the structure are constructed. In this paper, dynamic extended finite element method combined with level set method is used to describe the internal defects of the structure to avoid grid redivision in iterative computation. After obtaining the weights of sensors at different positions, the traditional linear weights are replaced by the nonlinear weights depending on the comparing the traditional linear weight with threshold value, in order to reduce and amplify the weight value at different locations. The double-cubic interpolation is introduced to obtain the damage index and its distribution of the structure, the number of defects and their potential areas are identified with interpolation imaging technology. In the process of inversion using intelligent algorithms, the unnecessary sensors are removed at first and the weighting coefficients are introduced to improve the objective function for accurate inversion. The analysis of several examples indicates that the damage index method can obtain the specific number and preliminary position information of defects through forward modeling quickly when the number of defects is unknown, and the objective function inverse analysis method with weighting coefficient can reach the convergence faster and obtain the precise location of defects more efficiently than those in the previous intelligent algorithms. In order to further prove the feasibility and application prospect of the model, we use the model presented in this paper to detect the defects of reinforced concrete slab with two circular holes, and the good inversion results are shown that the proposed model is feasible and has certain engineering significance.

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