In the general framework of data-driven structural health monitoring, principal component analysis has been applied successfully in continuous monitoring of complex civil infrastructures. In the case of linear or polynomial relationship between monitored variables, principal component analysis allows generation of structured residuals from measurement outputs without a priori structural model. The principal component analysis has been widely used for system monitoring based on its ability to handle high-dimensional, noisy, and highly correlated data by projecting the data onto a lower dimensional subspace that contains most of the variance of the original data. However, for nonlinear systems, it could be easily demonstrated that linear principal component analysis is unable to disclose nonlinear relationships between variables. This has naturally motivated various developments of nonlinear principal component analysis to tackle damage diagnosis of complex structural systems, especially those characterized by a nonlinear behavior. In this article, a data-driven technique for damage detection in nonlinear structural systems is presented. The proposed method is based on kernel principal component analysis. Two case studies involving nonlinear cable structures are presented to show the effectiveness of the proposed methodology. The validity of the kernel principal component analysis–based monitoring technique is shown in terms of the ability to damage detection. Robustness to environmental effects and disturbances are also studied.

中文翻译：

---

基于核主成分分析的非线性土木结构损伤检测

在数据驱动的结构健康监测的总体框架中，主成分分析已成功应用于复杂民用基础设施的连续监测。在监测变量之间存在线性或多项式关系的情况下，主成分分析允许从测量输出生成结构残差，而无需先验结构模型。主成分分析通过将数据投影到包含原始数据大部分方差的低维子空间来处理高维、嘈杂和高度相关的数据的能力，因此已广泛用于系统监控。然而，对于非线性系统，很容易证明线性主成分分析无法揭示变量之间的非线性关系。这自然推动了非线性主成分分析的各种发展，以解决复杂结构系统的损伤诊断，尤其是那些以非线性行为为特征的系统。在本文中，介绍了一种用于非线性结构系统损伤检测的数据驱动技术。所提出的方法基于核主成分分析。介绍了涉及非线性电缆结构的两个案例研究，以显示所提出方法的有效性。基于核主成分分析的监测技术的有效性体现在损伤检测能力方面。还研究了对环境影响和干扰的稳健性。特别是那些以非线性行为为特征的。在本文中，介绍了一种用于非线性结构系统损伤检测的数据驱动技术。所提出的方法基于核主成分分析。介绍了涉及非线性电缆结构的两个案例研究，以显示所提出方法的有效性。基于核主成分分析的监测技术的有效性体现在损伤检测能力方面。还研究了对环境影响和干扰的稳健性。特别是那些以非线性行为为特征的。在本文中，介绍了一种用于非线性结构系统损伤检测的数据驱动技术。所提出的方法基于核主成分分析。介绍了涉及非线性电缆结构的两个案例研究，以显示所提出方法的有效性。基于核主成分分析的监测技术的有效性体现在损伤检测能力方面。还研究了对环境影响和干扰的稳健性。介绍了涉及非线性电缆结构的两个案例研究，以显示所提出方法的有效性。基于核主成分分析的监测技术的有效性体现在损伤检测能力方面。还研究了对环境影响和干扰的稳健性。介绍了涉及非线性电缆结构的两个案例研究，以显示所提出方法的有效性。基于核主成分分析的监测技术的有效性体现在损伤检测能力方面。还研究了对环境影响和干扰的稳健性。