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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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2016-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.1155/2016/8618202 |
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| _version_ | 1850174997034696704 |
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| author | Xiaofeng Xue Xuefeng Chen Xingwu Zhang Baijie Qiao Jia Geng |
| author_facet | Xiaofeng Xue Xuefeng Chen Xingwu Zhang Baijie Qiao Jia Geng |
| author_sort | Xiaofeng Xue |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-d71982fc7e1f42539c25bc70d899ddb2 |
| institution | OA Journals |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-d71982fc7e1f42539c25bc70d899ddb22025-08-20T02:19:33ZengWileyShock and Vibration1070-96221875-92032016-01-01201610.1155/2016/86182028618202Hermitian Mindlin Plate Wavelet Finite Element Method for Load IdentificationXiaofeng Xue0Xuefeng Chen1Xingwu Zhang2Baijie Qiao3Jia Geng4State Key Laboratory for Manufacturing System Engineering, School of Mechanical Engineering, Xi’an Jiaotong University, Xi’an 710049, ChinaState Key Laboratory for Manufacturing System Engineering, School of Mechanical Engineering, Xi’an Jiaotong University, Xi’an 710049, ChinaState Key Laboratory for Manufacturing System Engineering, School of Mechanical Engineering, Xi’an Jiaotong University, Xi’an 710049, ChinaState Key Laboratory for Manufacturing System Engineering, School of Mechanical Engineering, Xi’an Jiaotong University, Xi’an 710049, ChinaState Key Laboratory for Manufacturing System Engineering, School of Mechanical Engineering, Xi’an Jiaotong University, Xi’an 710049, ChinaA 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.http://dx.doi.org/10.1155/2016/8618202 |
| spellingShingle | Xiaofeng Xue Xuefeng Chen Xingwu Zhang Baijie Qiao Jia Geng Hermitian Mindlin Plate Wavelet Finite Element Method for Load Identification Shock and Vibration |
| title | Hermitian Mindlin Plate Wavelet Finite Element Method for Load Identification |
| title_full | Hermitian Mindlin Plate Wavelet Finite Element Method for Load Identification |
| title_fullStr | Hermitian Mindlin Plate Wavelet Finite Element Method for Load Identification |
| title_full_unstemmed | Hermitian Mindlin Plate Wavelet Finite Element Method for Load Identification |
| title_short | Hermitian Mindlin Plate Wavelet Finite Element Method for Load Identification |
| title_sort | hermitian mindlin plate wavelet finite element method for load identification |
| url | http://dx.doi.org/10.1155/2016/8618202 |
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