Hermitian Mindlin Plate Wavelet Finite Element Method for Load Identification

A new Hermitian Mindlin plate wavelet element is proposed. The two-dimensional Hermitian cubic spline interpolation wavelet is substituted into finite element functions to construct frequency response function (FRF). It uses a system’s FRF and response spectrums to calculate load spectrums and then...

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Bibliographic Details
Published in:Shock and vibration 2016-01, Vol.2016 (2016), p.1-24
Main Authors: Qiao, Baijie, Zhang, Xingwu, Chen, Xuefeng, Xue, Xiaofeng, Geng, Jia
Format: Article
Language:English
Subjects:
Accuracy
Advantages
Analysis
Computer simulation
Examinations
Experiments
Fault diagnosis
Finite element analysis
Finite element method
Fourier transforms
Identification
Inverse problems
Load
Mathematical analysis
Mathematical models
Mean square errors
Methods
Mindlin plates
Numerical analysis
Regularization methods
Singular value decomposition
Splines
Strains and stresses
Stress relaxation (Materials)
Stress relieving (Materials)
Testing
Validity
Wavelet
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Summary:A new Hermitian Mindlin plate wavelet element is proposed. The two-dimensional Hermitian cubic spline interpolation wavelet is substituted into finite element functions to construct frequency response function (FRF). It uses a system’s FRF and response spectrums to calculate load spectrums and then derives loads in the time domain via the inverse fast Fourier transform. By simulating different excitation cases, Hermitian cubic spline wavelets on the interval (HCSWI) finite elements are used to reverse load identification in the Mindlin plate. The singular value decomposition (SVD) method is adopted to solve the ill-posed inverse problem. Compared with ANSYS results, HCSWI Mindlin plate element can accurately identify the applied load. Numerical results show that the algorithm of HCSWI Mindlin plate element is effective. The accuracy of HCSWI can be verified by comparing the FRF of HCSWI and ANSYS elements with the experiment data. The experiment proves that the load identification of HCSWI Mindlin plate is effective and precise by using the FRF and response spectrums to calculate the loads.
ISSN:1070-9622
1875-9203
DOI:10.1155/2016/8618202