Damage Identification Of Continuous Beam Based On 3D Wavelet Data Coupling And Simulated Annealing-Tabu Search Algorithm

In the current research on structural damage identification,the two-stage analysis method combining wavelet transform and intelligent algorithm is studied by many researchers.However,the structural damage identification method based on one-dimensional and two-dimensional wavelet transform is difficult to identify the spatial damage of the structure.Therefore,it has important theoretical significance and engineering application value to study the wavelet analysis method with higher dimensions to identify the spatial damage of the structure.According to the spatial slice method in signal processing,this paper proposes a structural damage identification method based on three-dimensional wavelet and annealing tabu search algorithm.The one-dimensional data obtained by slicing the three-dimensional data still retains the three-dimensional information.The wavelet transform can effectively identify the spatial damage location of the structure.On this basis,the simulated annealingtabu search algorithm is used to identify the degree of structural damage.The initial solution provided by the simulated annealing algorithm can effectively improve the accuracy of damage identification without reducing the convergence rate of the algorithm.The numerical simulation and experimental analysis verify that the method can accurately identify the spatial damage location and damage degree of the structure.In this paper,the numerical simulation analysis of the clamped beam with through cracks is carried out,and the damage identification of the clamped beam under two damage conditions is studied.The spatial damage location and damage degree of the structure are successfully identified based on the three-dimensional wavelet and annealing tabu search algorithm.At the same time,the fixed-supported beam test with through cracks was carried out,and the accuracy of the numerical simulation was proved by the test.In order to verify that the proposed method can also be applied to other structural forms,this paper takes the continuous beam with through cracks as the research object,and uses Ansys software to establish the three-dimensional finite element model of continuous beam under three damage conditions.On the grid division,the beam is divided into four layers along the vertical plane of the beam.The modal analysis of the beam structure is carried out to obtain the displacement modal data along the vertical plane of the beam.Then,the second-order difference is carried out to obtain the strain modal data.Then,the strain modal data are coupled to the horizontal direction along the upper surface of the beam to obtain the coupling data of the vertical plane of each layer of the beam.The wavelet transform is carried out on it.The spatial damage location of the continuous beam structure is successfully identified by comparing the wavelet coefficient values of the coupling data of each layer.Simulated annealing algorithm,tabu search algorithm and simulated annealing-tabu search algorithm are studied to identify the damage degree of continuous beams with through cracks.Through comparative analysis,it can be concluded that compared with single simulated annealing algorithm,simulated annealing-tabu search algorithm has faster convergence.Compared with single tabu search algorithm,simulated annealing-tabu search algorithm has smaller relative error and higher recognition accuracy.Therefore,the proposed method has high recognition accuracy for structural damage identification,which can be used for reference in engineering applications.