Wave Motion Analysis in Plane via Hermitian Cubic Spline Wavelet Finite Element Method
A plane Hermitian wavelet finite element method is presented in this paper. Wave motion can be used to analyze plane structures with small defects such as cracks and obtain results. By using the tensor product of modified Hermitian wavelet shape functions, the plane Hermitian wavelet shape functions...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.1155/2020/8752656 |
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| _version_ | 1832553974546300928 |
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| author | Xiaofeng Xue Xinhai Wang Zhen Wang Wei Xue |
| author_facet | Xiaofeng Xue Xinhai Wang Zhen Wang Wei Xue |
| author_sort | Xiaofeng Xue |
| collection | DOAJ |
| description | A plane Hermitian wavelet finite element method is presented in this paper. Wave motion can be used to analyze plane structures with small defects such as cracks and obtain results. By using the tensor product of modified Hermitian wavelet shape functions, the plane Hermitian wavelet shape functions are constructed. Scale functions of Hermitian wavelet shape functions can replace the polynomial shape functions to construct new wavelet plane elements. As the scale of the shape functions increases, the precision of the new wavelet plane element will be improved. The new Hermitian wavelet finite element method which can be used to simulate wave motion analysis can reveal the law of the wave motion in plane. By using the results of transmitted and reflected wave motion, the cracks can be easily identified in plane. The results show that the new Hermitian plane wavelet finite element method can use the fewer elements to simulate the plane structure effectively and accurately and detect the cracks in plane. |
| format | Article |
| id | doaj-art-d66b134744ea4b81af7f12cf09f34d67 |
| institution | Kabale University |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-d66b134744ea4b81af7f12cf09f34d672025-02-03T05:52:42ZengWileyShock and Vibration1070-96221875-92032020-01-01202010.1155/2020/87526568752656Wave Motion Analysis in Plane via Hermitian Cubic Spline Wavelet Finite Element MethodXiaofeng Xue0Xinhai Wang1Zhen Wang2Wei Xue3Mechanical and Electrical Engineering Department, Yuncheng University, Yuncheng 044000, ChinaMechanical and Electrical Engineering Department, Yuncheng University, Yuncheng 044000, ChinaMechanical and Electrical Engineering Department, Yuncheng University, Yuncheng 044000, ChinaMechanical and Electrical Engineering Department, Yuncheng University, Yuncheng 044000, ChinaA plane Hermitian wavelet finite element method is presented in this paper. Wave motion can be used to analyze plane structures with small defects such as cracks and obtain results. By using the tensor product of modified Hermitian wavelet shape functions, the plane Hermitian wavelet shape functions are constructed. Scale functions of Hermitian wavelet shape functions can replace the polynomial shape functions to construct new wavelet plane elements. As the scale of the shape functions increases, the precision of the new wavelet plane element will be improved. The new Hermitian wavelet finite element method which can be used to simulate wave motion analysis can reveal the law of the wave motion in plane. By using the results of transmitted and reflected wave motion, the cracks can be easily identified in plane. The results show that the new Hermitian plane wavelet finite element method can use the fewer elements to simulate the plane structure effectively and accurately and detect the cracks in plane.http://dx.doi.org/10.1155/2020/8752656 |
| spellingShingle | Xiaofeng Xue Xinhai Wang Zhen Wang Wei Xue Wave Motion Analysis in Plane via Hermitian Cubic Spline Wavelet Finite Element Method Shock and Vibration |
| title | Wave Motion Analysis in Plane via Hermitian Cubic Spline Wavelet Finite Element Method |
| title_full | Wave Motion Analysis in Plane via Hermitian Cubic Spline Wavelet Finite Element Method |
| title_fullStr | Wave Motion Analysis in Plane via Hermitian Cubic Spline Wavelet Finite Element Method |
| title_full_unstemmed | Wave Motion Analysis in Plane via Hermitian Cubic Spline Wavelet Finite Element Method |
| title_short | Wave Motion Analysis in Plane via Hermitian Cubic Spline Wavelet Finite Element Method |
| title_sort | wave motion analysis in plane via hermitian cubic spline wavelet finite element method |
| url | http://dx.doi.org/10.1155/2020/8752656 |
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