Numerical Manifold Method for the Forced Vibration of Thin Plates during Bending
A novel numerical manifold method was derived from the cubic B-spline basis function. The new interpolation function is characterized by high-order coordination at the boundary of a manifold element. The linear elastic-dynamic equation used to solve the bending vibration of thin plates was derived a...
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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: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2014/520958 |
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| author | Ding Jun Chen Song Wen Wei-Bin Luo Shao-Ming Huang Xia |
| author_facet | Ding Jun Chen Song Wen Wei-Bin Luo Shao-Ming Huang Xia |
| author_sort | Ding Jun |
| collection | DOAJ |
| description | A novel numerical manifold method was derived from the cubic B-spline basis function. The new interpolation function is characterized by high-order coordination at the boundary of a manifold element. The linear elastic-dynamic equation used to solve the bending vibration of thin plates was derived according to the principle of minimum instantaneous potential energy. The method for the initialization of the dynamic equation and its solution process were provided. Moreover, the analysis showed that the calculated stiffness matrix exhibited favorable performance. Numerical results showed that the generalized degrees of freedom were significantly fewer and that the calculation accuracy was higher for the manifold method than for the conventional finite element method. |
| format | Article |
| id | doaj-art-dacbe06693a84234a53f5db743fa743b |
| institution | Kabale University |
| issn | 2356-6140 1537-744X |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-dacbe06693a84234a53f5db743fa743b2025-02-03T01:25:32ZengWileyThe Scientific World Journal2356-61401537-744X2014-01-01201410.1155/2014/520958520958Numerical Manifold Method for the Forced Vibration of Thin Plates during BendingDing Jun0Chen Song1Wen Wei-Bin2Luo Shao-Ming3Huang Xia4College of Mechanical Engineering, Chongqing University of Technology, Chongqing 400054, ChinaCollege of Mechanical Engineering, Chongqing University of Technology, Chongqing 400054, ChinaZhongkai University of Agriculture and Engineering, Guangzhou 510225, ChinaZhongkai University of Agriculture and Engineering, Guangzhou 510225, ChinaCollege of Mechanical Engineering, Chongqing University of Technology, Chongqing 400054, ChinaA novel numerical manifold method was derived from the cubic B-spline basis function. The new interpolation function is characterized by high-order coordination at the boundary of a manifold element. The linear elastic-dynamic equation used to solve the bending vibration of thin plates was derived according to the principle of minimum instantaneous potential energy. The method for the initialization of the dynamic equation and its solution process were provided. Moreover, the analysis showed that the calculated stiffness matrix exhibited favorable performance. Numerical results showed that the generalized degrees of freedom were significantly fewer and that the calculation accuracy was higher for the manifold method than for the conventional finite element method.http://dx.doi.org/10.1155/2014/520958 |
| spellingShingle | Ding Jun Chen Song Wen Wei-Bin Luo Shao-Ming Huang Xia Numerical Manifold Method for the Forced Vibration of Thin Plates during Bending The Scientific World Journal |
| title | Numerical Manifold Method for the Forced Vibration of Thin Plates during Bending |
| title_full | Numerical Manifold Method for the Forced Vibration of Thin Plates during Bending |
| title_fullStr | Numerical Manifold Method for the Forced Vibration of Thin Plates during Bending |
| title_full_unstemmed | Numerical Manifold Method for the Forced Vibration of Thin Plates during Bending |
| title_short | Numerical Manifold Method for the Forced Vibration of Thin Plates during Bending |
| title_sort | numerical manifold method for the forced vibration of thin plates during bending |
| url | http://dx.doi.org/10.1155/2014/520958 |
| work_keys_str_mv | AT dingjun numericalmanifoldmethodfortheforcedvibrationofthinplatesduringbending AT chensong numericalmanifoldmethodfortheforcedvibrationofthinplatesduringbending AT wenweibin numericalmanifoldmethodfortheforcedvibrationofthinplatesduringbending AT luoshaoming numericalmanifoldmethodfortheforcedvibrationofthinplatesduringbending AT huangxia numericalmanifoldmethodfortheforcedvibrationofthinplatesduringbending |