Parameter identification of general damping model based on structural dynamic response

A general damping model suitable for linear systems is proposed, which is not limited by the traditional damping model, and the parameters of the damping model are identified by using the inversion algorithm based on the sensitivity of the structure dynamic response. Firstly, the expression of the general damping model is constructed, and the sensitivity formula of the dynamic response of the structure to the parameters of the damping model is deduced. Then, the identification equation of structural damping parameter inversion is constructed, and the regularization method is used to solve the equation in an iterative way. Finally, the applicability and identifiability of the general damping mathematical model are verified by taking a 12-story shearing frame as an example. The numerical simulation results show that the general damping mathematical model has higher accuracy than the classical damping model in damping parameter identification and dynamic calculation.