论文标题
检测矩阵作为一种模型不足的工具，用于估计机械系统和工程结构中自由度的数量
The detection matrix as a model-agnostic tool to estimate the number of degrees of freedom in mechanical systems and engineering structures
论文作者
论文摘要
估计机械系统的自由度或从一小组传感器的时间序列中的工程结构的自由度数量是诊断中的一个基本问题，但是，在监视其健康和完整性时，经常会忽略它。在这项工作中，我们演示了网络理论检测矩阵的适用性，作为解决此问题的工具。根据这一估计，我们说明了识别损害的可能性。 Haehne等人最近引入的检测矩阵。在网络理论的背景下，由于非零初始条件的导致一些节点的瞬态响应组装而成：其等级提供了网络本身中节点数量的估计。检测矩阵的使用完全是模型的，因此它不需要对系统动力学的任何知识。在这里，我们表明，通过一些修改，该原理适用于离散系统，例如弹簧质量晶格和桁架。此外，我们讨论一个或多个成员中的损害如何导致此矩阵的单数值中不同跳跃的出现，从而为结构健康监测应用程序打开了大门，而无需进行完整的模型重建。
Estimating the number of degrees of freedom of a mechanical system or an engineering structure from the time-series of a small set of sensors is a basic problem in diagnostics, which, however, is often overlooked when monitoring their health and integrity. In this work, we demonstrate the applicability of the network-theoretic concept of detection matrix as a tool to solve this problem. From this estimation, we illustrate the possibility to identify damage. The detection matrix, recently introduced by Haehne et al. in the context of network theory, is assembled from the transient response of a few nodes as a result of non-zero initial conditions: its rank offers an estimate of the number of nodes in the network itself. The use of the detection matrix is completely model-agnostic, whereby it does not require any knowledge of the system dynamics. Here, we show that, with a few modifications, this same principle applies to discrete systems, such as spring-mass lattices and trusses. Moreover, we discuss how damage in one or more members causes the appearance of distinct jumps in the singular values of this matrix, thereby opening the door to structural health monitoring applications, without the need for a complete model reconstruction.
