A approach for the identification and localization of dynamic loads in time-varying systems

This paper establishes a method for identifying and locating dynamic loads in time-varying systems. The proposed method linearizes time-varying parameters within small time units and uses the Wilson-θ inverse analysis method to solve modal loads of each order at each time step. It then uses an exhaustive method to determine the load position. Finally, it calculates the time history of the load. Simulation examples demonstrate how the number of measuring points and step size affect load identification accuracy, verifying that this algorithm achieves good identification accuracy for loads under resonance conditions. Additionally, it explores how noise affects load position and recognition accuracy, while providing a solution. Simulation examples and experimental results demonstrate that the proposed method can identify both the time history and position of loads simultaneously with high identification accuracy.