Research On The Method Of Dynamic Load Identification Based On Bayesian Regularization

The dynamic load identification problem is one of the inverse problems and is seriously illposed.The Bayesian regularization method can combine the two steps of the selection of regularization parameters and the solution of external loads,which has high research value.In this paper,the Green kernel function method and the Bayesian regularization method are used to identify the external load,and the advantages and disadvantages of the Bayesian regularization method and the traditional Tikhonov regularization method are compared.The specific research contents are as follows:(1)The dynamic load identification model based on green kernel function is derived by discrete impulse response function.Then,the method is extended to the modal space through the modal coordinate transformation,and a method of identifying the external load by using the green kernel function matrix in the modal space is proposed.After that,the causes of the discomfort of the dynamic load identification model and the criteria for determining the discomfort are analyzed.Finally,the steps of Tikhonov regularization to solve ill posed problems are introduced.(2)The Bayesian idea is applied to load reconstruction,and the steps of Bayesian regularization are deduced in detail,and the influence of initial parameters of Bayesian regularization on reconstruction results is studied.Then,a multi-degree-of-freedom system is used to compare the reconstruction effects of Bayesian regularization and Tikhonov regularization in physical space and modal space respectively.(3)Finally,the effectiveness of the Bayesian regularization method based on two different methods for external load identification of continuous beam systems is verified by simulation of continuous beam systems,and the feasibility of Bayesian regularization method for the identification of external loads in practical projects is verified by experiments.The results show that the Green function method and the Bayesian regularization method have good load reconstruction effect on the external load,which can meet the actual engineering requirements.