Application Of Adaptive Kriging Model In Seismic Engineering

As a natural disaster,earthquake has the characteristics of instantaneous,sudden and destructive.Probabilistic seismic demand analysis plays an important role in performancebased seismic engineering.Probabilistic seismic demand analysis(PSDA)plays a vital role in Performance-Based Earthquake Engineering(PBEE)for seismic performance evaluation and seismic risk decision making.Given a selected intensity measure(IM),the engineering demand parameter(EDP)of structures can be acquired by incremental dynamic analysis(IDA).The traditional computational analysis method to achieve the above content usually requires a large amount of nonlinear dynamic time history analysis,so it has the disadvantage of large amount of computation.In this paper,the Kriging surrogate model is combined with sequential sampling to analyze the seismic performance of the structure.The research contents are as follows:(1)Introduce the principle of Kriging model and sequential sampling.The programming of the sequential sampling Kriging model is realized by using MATLAB,and the calculation accuracy and efficiency of the sequential sampling Kriging model using different sampling methods and quantities are compared through calculation examples.(2)Apply the sequential sampling Kriging model to incremental dynamic analysis.Three steel frame structures with different layers were established as engineering examples using OpenSees software.The appropriate IM is selected as a random variable to simulate the randomness of earthquake action,and the EDP is obtained by nonlinear time history analysis of the frame finite element model.The IDA curve was drawn by the sequential sampling Kriging model method,and compared with the real IDA curve and the IDA curve obtained by the hunt&fill method to analyze the accuracy and computational efficiency of the sequential sampling Kriging model method.(3)The sequential sampling Kriging model is applied to IDA considering structural uncertainty.Combining the uncertainty of structural material properties with the randomness of earthquakes,the effectiveness and efficiency of the method are verified by comparison with Monte Carlo Simulation(MCS).The research in this paper shows that,compared with the traditional calculation method,the sequential sampling Kriging model method for probabilistic seismic performance evaluation can significantly reduce the number of operations for the real response of the structure,improve the calculation efficiency,and ensure that the accuracy meets the requirements.