Stochastic model updating of truss structures based on total energy of lifting wavelet transform of frequency response function
Received:June 20, 2020  Revised:August 13, 2020
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DOI:10.7511/jslx20200620002
KeyWord:stochastic model updating  frequency response function  total energy of lifting wavelet transform  Monte Carlo sampling
        
AuthorInstitution
赵永鹏 兰州交通大学 机电工程学院, 兰州
殷红 兰州交通大学 机电工程学院, 兰州
彭珍瑞 兰州交通大学 机电工程学院, 兰州
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Abstract:
      In order to deal with the randomness in model updating problems,a stochastic model updating method based on the total energy of the lifting wavelet transform is constructed.Firstly,the acceleration frequency response function of the structure is subjected to lifting wavelet transformation and the total energy of the lifting wavelet transform is extracted to replace the acceleration frequency response function.Then,the parameters to be updated are taken as input and the total energy of the lifting wavelet transform as the output to construct a response surface model instead of the original finite element model.And then,Monte Carlo sampling is used to extract response samples,and optimize the response samples by setting a threshold.Finally,the minimum difference between the response predicted by the surrogate model and the real response obtained by sampling is defined as the objective function,the mean of each parameter to be updated is solved by iterative optimization through the cuckoo optimization algorithm.The calculation example shows that the maximum error of the parameters from the proposed method is less than 3.3%,and the corresponding frequency response function curve has a high degree of agreement.