Dynamic load identification is the second kind of inverse problem in structural dynamics. It is a process of reconstructing load applied to structure in case of structural dynamic model and information of structural response. Online identification is one of the frontier problems in dynamic load identification, which has high difficulty and broad application prospects. In this paper, an online identification of dynamic load of the multi-degree-of-freedom system based on Kalman filter in modal space is proposed. Since the Kalman filter has excellent real-time performance and robustness, it is possible to be used in dynamic load online identification. We start from the theoretical derivation in detail for the multi-degree-of-freedom system, then the feasibility and effectiveness of the method is verified by numerical simulation of three-degree-of-freedom system with the single impact load and continuous multiple impact load.

中文翻译：

---

基于卡尔曼滤波的多自由度系统冲击载荷在线识别

动态载荷识别是结构动力学中的第二类反问题。这是在结构动力模型和结构响应信息的情况下重构施加到结构上的载荷的过程。在线识别是动态载荷识别的前沿问题之一，具有很高的难度和广阔的应用前景。本文提出了一种基于模态空间的基于卡尔曼滤波的多自由度系统动态载荷在线辨识方法。由于卡尔曼滤波器具有出色的实时性能和鲁棒性，因此可以用于动态负载在线识别。我们从详细的多自由度系统的理论推导开始，