Adaptive Reconstruction of a Dynamic Force Using Multiscale Wavelet Shape Functions
The shape function-based method is one of the very promising time-domain methods for dynamic force reconstruction, because it can significantly reduce the number of unknowns and shorten the reconstruction time. However, it is challenging to determine the optimum time unit length that can balance the...
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.1155/2018/8213105 |
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| _version_ | 1832563804188180480 |
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| author | Wen-Yu He Yang Wang Songye Zhu |
| author_facet | Wen-Yu He Yang Wang Songye Zhu |
| author_sort | Wen-Yu He |
| collection | DOAJ |
| description | The shape function-based method is one of the very promising time-domain methods for dynamic force reconstruction, because it can significantly reduce the number of unknowns and shorten the reconstruction time. However, it is challenging to determine the optimum time unit length that can balance the tradeoff between reconstruction accuracy and efficiency in advance. To address this challenge, this paper develops an adaptive dynamic force reconstruction method based on multiscale wavelet shape functions and time-domain deconvolution. A concentrated dynamic force is discretized into units in time domain and the local force in each unit is approximated by wavelet scale functions at an initial scale. Subsequently, the whole response matrix is formulated by assembling the responses induced by the wavelet shape function forces of all time units which are calculated by the structural finite element model (FEM). Then, the wavelet shape function-based force-response equation is established for force reconstruction. Finally, the scale of the force-response equation is lifted by refining the wavelet shape function with high-scale wavelets and dynamic responses with more point data to improve the reconstruction accuracy gradually. Numerical examples of different structural types are analyzed to verify the feasibility and effectiveness of the proposed method. |
| format | Article |
| id | doaj-art-ccc9e253150344a4b9321892688239bb |
| institution | Kabale University |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-ccc9e253150344a4b9321892688239bb2025-02-03T01:12:29ZengWileyShock and Vibration1070-96221875-92032018-01-01201810.1155/2018/82131058213105Adaptive Reconstruction of a Dynamic Force Using Multiscale Wavelet Shape FunctionsWen-Yu He0Yang Wang1Songye Zhu2Department of Civil Engineering, Hefei University of Technology, Hefei, Anhui, ChinaDepartment of Civil Engineering, Hefei University of Technology, Hefei, Anhui, ChinaDepartment of Civil and Environmental Engineering, The Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong KongThe shape function-based method is one of the very promising time-domain methods for dynamic force reconstruction, because it can significantly reduce the number of unknowns and shorten the reconstruction time. However, it is challenging to determine the optimum time unit length that can balance the tradeoff between reconstruction accuracy and efficiency in advance. To address this challenge, this paper develops an adaptive dynamic force reconstruction method based on multiscale wavelet shape functions and time-domain deconvolution. A concentrated dynamic force is discretized into units in time domain and the local force in each unit is approximated by wavelet scale functions at an initial scale. Subsequently, the whole response matrix is formulated by assembling the responses induced by the wavelet shape function forces of all time units which are calculated by the structural finite element model (FEM). Then, the wavelet shape function-based force-response equation is established for force reconstruction. Finally, the scale of the force-response equation is lifted by refining the wavelet shape function with high-scale wavelets and dynamic responses with more point data to improve the reconstruction accuracy gradually. Numerical examples of different structural types are analyzed to verify the feasibility and effectiveness of the proposed method.http://dx.doi.org/10.1155/2018/8213105 |
| spellingShingle | Wen-Yu He Yang Wang Songye Zhu Adaptive Reconstruction of a Dynamic Force Using Multiscale Wavelet Shape Functions Shock and Vibration |
| title | Adaptive Reconstruction of a Dynamic Force Using Multiscale Wavelet Shape Functions |
| title_full | Adaptive Reconstruction of a Dynamic Force Using Multiscale Wavelet Shape Functions |
| title_fullStr | Adaptive Reconstruction of a Dynamic Force Using Multiscale Wavelet Shape Functions |
| title_full_unstemmed | Adaptive Reconstruction of a Dynamic Force Using Multiscale Wavelet Shape Functions |
| title_short | Adaptive Reconstruction of a Dynamic Force Using Multiscale Wavelet Shape Functions |
| title_sort | adaptive reconstruction of a dynamic force using multiscale wavelet shape functions |
| url | http://dx.doi.org/10.1155/2018/8213105 |
| work_keys_str_mv | AT wenyuhe adaptivereconstructionofadynamicforceusingmultiscalewaveletshapefunctions AT yangwang adaptivereconstructionofadynamicforceusingmultiscalewaveletshapefunctions AT songyezhu adaptivereconstructionofadynamicforceusingmultiscalewaveletshapefunctions |