Geometrically Nonlinear Analysis for Elastic Beam Using Point Interpolation Meshless Method
The intrinsic beam theory, as one of the exact beam formulas, is quite suitable to describe large deformation of the flexible curved beam and has been widely used in many engineering applications. Owing to the advantages of the intrinsic beam theory, the resulted equations are expressed in first-ord...
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| Format: | Article |
| Language: | English |
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Wiley
2019-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.1155/2019/9065365 |
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| _version_ | 1832548963170910208 |
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| author | Cheng He Xinhai Wu Tao Wang Huan He |
| author_facet | Cheng He Xinhai Wu Tao Wang Huan He |
| author_sort | Cheng He |
| collection | DOAJ |
| description | The intrinsic beam theory, as one of the exact beam formulas, is quite suitable to describe large deformation of the flexible curved beam and has been widely used in many engineering applications. Owing to the advantages of the intrinsic beam theory, the resulted equations are expressed in first-order partial differential form with second-order nonlinear terms. In order to solve the intrinsic beam equations in a relative simple way, in this paper, the point interpolation meshless method was employed to obtain the discretization equations of motion. Different from those equations by using the finite element method, only the differential of the shape functions are needed to form the final discrete equations. Thus, the present method does not need integration process for all elements during each time step. The proposed method has been demonstrated by a numerical example, and results show that this method is highly efficient in treating this type of problem with good accuracy. |
| format | Article |
| id | doaj-art-93082b113cf544f1922cd9dcc056b0d0 |
| institution | Kabale University |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-93082b113cf544f1922cd9dcc056b0d02025-02-03T06:12:35ZengWileyShock and Vibration1070-96221875-92032019-01-01201910.1155/2019/90653659065365Geometrically Nonlinear Analysis for Elastic Beam Using Point Interpolation Meshless MethodCheng He0Xinhai Wu1Tao Wang2Huan He3Key Laboratory of Unmanned Aerial Vehicle Technology, Nanjing University of Aeronautics and Astronautics, Ministry of Industry and Information Technology, Nanjing 210016, ChinaState Key Laboratory of Mechanics and Control of Mechanical Structures, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, ChinaKey Laboratory of Unmanned Aerial Vehicle Technology, Nanjing University of Aeronautics and Astronautics, Ministry of Industry and Information Technology, Nanjing 210016, ChinaState Key Laboratory of Mechanics and Control of Mechanical Structures, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, ChinaThe intrinsic beam theory, as one of the exact beam formulas, is quite suitable to describe large deformation of the flexible curved beam and has been widely used in many engineering applications. Owing to the advantages of the intrinsic beam theory, the resulted equations are expressed in first-order partial differential form with second-order nonlinear terms. In order to solve the intrinsic beam equations in a relative simple way, in this paper, the point interpolation meshless method was employed to obtain the discretization equations of motion. Different from those equations by using the finite element method, only the differential of the shape functions are needed to form the final discrete equations. Thus, the present method does not need integration process for all elements during each time step. The proposed method has been demonstrated by a numerical example, and results show that this method is highly efficient in treating this type of problem with good accuracy.http://dx.doi.org/10.1155/2019/9065365 |
| spellingShingle | Cheng He Xinhai Wu Tao Wang Huan He Geometrically Nonlinear Analysis for Elastic Beam Using Point Interpolation Meshless Method Shock and Vibration |
| title | Geometrically Nonlinear Analysis for Elastic Beam Using Point Interpolation Meshless Method |
| title_full | Geometrically Nonlinear Analysis for Elastic Beam Using Point Interpolation Meshless Method |
| title_fullStr | Geometrically Nonlinear Analysis for Elastic Beam Using Point Interpolation Meshless Method |
| title_full_unstemmed | Geometrically Nonlinear Analysis for Elastic Beam Using Point Interpolation Meshless Method |
| title_short | Geometrically Nonlinear Analysis for Elastic Beam Using Point Interpolation Meshless Method |
| title_sort | geometrically nonlinear analysis for elastic beam using point interpolation meshless method |
| url | http://dx.doi.org/10.1155/2019/9065365 |
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