Abstract In this paper, a two-dimensional (2D) time domain spectral element method (SEM) is developed for concrete-filled steel tube (CFST) and piezoelectric lead zirconate titanate (PZT) patches coupling system, where the piezoelectric and inverse piezoelectric effect of PZT actuator and sensor and their coupling effect with CFST are considered. The local wave field and the response of the embedded PZT sensor was numerically studied in a substructure of the CFST coupled with PZT patches and surrounded by absorbing layers with increasing damping (ALID) and the performance of the ALID in attenuating wave reflection at boundaries of the coupling substructure model is further investigated. Then, numerical simulation on the effect of interface debonding defect on local wave propagation within the coupling substructure model surrounded by the designed ALID was carried out. By comparing the displacement-based wave fields and the response of the embedded PZT sensor within the substructure, the effect of interface debonding defect on the wave propagation along the steel tube and in the concrete core, and the time history of the response voltage of the embedded PZT sensor is investigated in detail. Numerical results show that interface debonding defects in the substructure leads to changes in the wave propagation path, the local wave field, the time duration of wave travelling to the embedded PZT sensor from the PZT actuator mounted on the surface of the steel tube of CFST, as well as response voltage of the embedded PZT sensor. In addition, PZT sensor measurement is sensitive to the length of interface debonding defects but insensitive to their depth. SEM for the coupling substructure model with ALID instead of the model of whole cross section of CFST provides an efficient way to simulate the local elastic wave propagation for understanding the mechanism of the interface debonding defects detection approach based on wave measurement.

中文翻译：

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使用吸收层的谱元法在钢管混凝土中的局部波传播分析——第二部分：在耦合系统中的应用

摘要 在本文中，针对钢管混凝土 (CFST) 和压电锆钛酸铅 (PZT) 贴片耦合系统，开发了一种二维 (2D) 时域谱元法 (SEM)，其中压电和逆压电效应考虑了 PZT 执行器和传感器及其与 CFST 的耦合效应。局部波场和嵌入式 PZT 传感器的响应在 CFST 的子结构中进行了数值研究，该子结构与 PZT 贴片耦合并被具有增加阻尼 (ALID) 的吸收层包围，以及 ALID 在衰减边界处的波反射方面的性能耦合子结构模型进一步研究。然后，对界面脱粘缺陷对设计 ALID 包围的耦合子结构模型内局部波传播的影响进行了数值模拟。通过比较基于位移的波场和子结构内嵌入式 PZT 传感器的响应，界面脱粘缺陷对波沿钢管和混凝土芯传播的影响，以及响应电压的时间历程嵌入式 PZT 传感器进行了详细研究。数值结果表明，子结构中的界面脱粘缺陷导致波传播路径、局部波场、波从安装在 CFST 钢管表面的 PZT 执行器传播到嵌入式 PZT 传感器的持续时间发生变化，以及嵌入式 PZT 传感器的响应电压。此外，PZT 传感器测量对界面剥离缺陷的长度敏感，但对其深度不敏感。带有 ALID 的耦合子结构模型的 SEM 代替 CFST 的整个横截面模型提供了一种有效的方法来模拟局部弹性波传播，以了解基于波测量的界面脱粘缺陷检测方法的机制。