A Stochastic Wavelet Finite Element Method for 1D and 2D Structures Analysis
A stochastic finite element method based on B-spline wavelet on the interval (BSWI-SFEM) is presented for static analysis of 1D and 2D structures in this paper. Instead of conventional polynomial interpolation, the scaling functions of BSWI are employed to construct the displacement field. By means...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.1155/2014/104347 |
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| _version_ | 1832545364547207168 |
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| author | Xingwu Zhang Xuefeng Chen Zhibo Yang Bing Li Zhengjia He |
| author_facet | Xingwu Zhang Xuefeng Chen Zhibo Yang Bing Li Zhengjia He |
| author_sort | Xingwu Zhang |
| collection | DOAJ |
| description | A stochastic finite element method based on B-spline wavelet on the interval (BSWI-SFEM) is presented for static analysis of 1D and 2D structures in this paper. Instead of conventional polynomial interpolation, the scaling functions of BSWI are employed to construct the displacement field. By means of virtual work principle and BSWI, the wavelet finite elements of beam, plate, and plane rigid frame are obtained. Combining the Monte Carlo method and the constructed BSWI elements together, the BSWI-SFEM is formulated. The constructed BSWI-SFEM can deal with the problems of structural response uncertainty caused by the variability of the material properties, static load amplitudes, and so on. Taking the widely used Timoshenko beam, the Mindlin plate, and the plane rigid frame as examples, numerical results have demonstrated that the proposed method can give a higher accuracy and a better constringency than the conventional stochastic finite element methods. |
| format | Article |
| id | doaj-art-4cece267e3b24f5c84d351aaef18a74f |
| institution | Kabale University |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-4cece267e3b24f5c84d351aaef18a74f2025-02-03T07:26:04ZengWileyShock and Vibration1070-96221875-92032014-01-01201410.1155/2014/104347104347A Stochastic Wavelet Finite Element Method for 1D and 2D Structures AnalysisXingwu Zhang0Xuefeng Chen1Zhibo Yang2Bing Li3Zhengjia He4The State Key Laboratory for Manufacturing Systems Engineering, School of Mechanical Engineering, Xi’an Jiaotong University, Xi’an 710049, ChinaThe State Key Laboratory for Manufacturing Systems Engineering, School of Mechanical Engineering, Xi’an Jiaotong University, Xi’an 710049, ChinaThe State Key Laboratory for Manufacturing Systems Engineering, School of Mechanical Engineering, Xi’an Jiaotong University, Xi’an 710049, ChinaThe State Key Laboratory for Manufacturing Systems Engineering, School of Mechanical Engineering, Xi’an Jiaotong University, Xi’an 710049, ChinaThe State Key Laboratory for Manufacturing Systems Engineering, School of Mechanical Engineering, Xi’an Jiaotong University, Xi’an 710049, ChinaA stochastic finite element method based on B-spline wavelet on the interval (BSWI-SFEM) is presented for static analysis of 1D and 2D structures in this paper. Instead of conventional polynomial interpolation, the scaling functions of BSWI are employed to construct the displacement field. By means of virtual work principle and BSWI, the wavelet finite elements of beam, plate, and plane rigid frame are obtained. Combining the Monte Carlo method and the constructed BSWI elements together, the BSWI-SFEM is formulated. The constructed BSWI-SFEM can deal with the problems of structural response uncertainty caused by the variability of the material properties, static load amplitudes, and so on. Taking the widely used Timoshenko beam, the Mindlin plate, and the plane rigid frame as examples, numerical results have demonstrated that the proposed method can give a higher accuracy and a better constringency than the conventional stochastic finite element methods.http://dx.doi.org/10.1155/2014/104347 |
| spellingShingle | Xingwu Zhang Xuefeng Chen Zhibo Yang Bing Li Zhengjia He A Stochastic Wavelet Finite Element Method for 1D and 2D Structures Analysis Shock and Vibration |
| title | A Stochastic Wavelet Finite Element Method for 1D and 2D Structures Analysis |
| title_full | A Stochastic Wavelet Finite Element Method for 1D and 2D Structures Analysis |
| title_fullStr | A Stochastic Wavelet Finite Element Method for 1D and 2D Structures Analysis |
| title_full_unstemmed | A Stochastic Wavelet Finite Element Method for 1D and 2D Structures Analysis |
| title_short | A Stochastic Wavelet Finite Element Method for 1D and 2D Structures Analysis |
| title_sort | stochastic wavelet finite element method for 1d and 2d structures analysis |
| url | http://dx.doi.org/10.1155/2014/104347 |
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