Vibration Analysis of Rectangular Plates with Free Corners Using Spline-Based Differential Quadrature
A spline-based differential quadrature method (SDQM) is elaborated and applied to the vibration analysis of rectangular plates with free edges. The sextic B-spline functions are used to construct the pertaining cardinal spline interpolants. Thus, explicit expressions of weighting coefficients for ap...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2004-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.1155/2004/948153 |
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| _version_ | 1850222580962689024 |
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| author | Hongzhi Zhong Qiang Guo |
| author_facet | Hongzhi Zhong Qiang Guo |
| author_sort | Hongzhi Zhong |
| collection | DOAJ |
| description | A spline-based differential quadrature method (SDQM) is elaborated and applied to the vibration analysis of rectangular plates with free edges. The sextic B-spline functions are used to construct the pertaining cardinal spline interpolants. Thus, explicit expressions of weighting coefficients for approximation of derivatives are obtained. Free vibrations of rectangular plates with free edges, which pose considerable challenge to the conventional differential quadrature, are dealt with and the results are in excellent agreement with those in the literature, highlighting the effectiveness and potential of the spline-based differential quadrature. |
| format | Article |
| id | doaj-art-738de20be66345248efd835ccfd7decf |
| institution | OA Journals |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 2004-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-738de20be66345248efd835ccfd7decf2025-08-20T02:06:19ZengWileyShock and Vibration1070-96221875-92032004-01-0111211912810.1155/2004/948153Vibration Analysis of Rectangular Plates with Free Corners Using Spline-Based Differential QuadratureHongzhi Zhong0Qiang Guo1Department of Civil Engineering, Tsinghua University, Beijing 100084, ChinaDepartment of Civil Engineering, Tsinghua University, Beijing 100084, ChinaA spline-based differential quadrature method (SDQM) is elaborated and applied to the vibration analysis of rectangular plates with free edges. The sextic B-spline functions are used to construct the pertaining cardinal spline interpolants. Thus, explicit expressions of weighting coefficients for approximation of derivatives are obtained. Free vibrations of rectangular plates with free edges, which pose considerable challenge to the conventional differential quadrature, are dealt with and the results are in excellent agreement with those in the literature, highlighting the effectiveness and potential of the spline-based differential quadrature.http://dx.doi.org/10.1155/2004/948153 |
| spellingShingle | Hongzhi Zhong Qiang Guo Vibration Analysis of Rectangular Plates with Free Corners Using Spline-Based Differential Quadrature Shock and Vibration |
| title | Vibration Analysis of Rectangular Plates with Free Corners Using Spline-Based Differential Quadrature |
| title_full | Vibration Analysis of Rectangular Plates with Free Corners Using Spline-Based Differential Quadrature |
| title_fullStr | Vibration Analysis of Rectangular Plates with Free Corners Using Spline-Based Differential Quadrature |
| title_full_unstemmed | Vibration Analysis of Rectangular Plates with Free Corners Using Spline-Based Differential Quadrature |
| title_short | Vibration Analysis of Rectangular Plates with Free Corners Using Spline-Based Differential Quadrature |
| title_sort | vibration analysis of rectangular plates with free corners using spline based differential quadrature |
| url | http://dx.doi.org/10.1155/2004/948153 |
| work_keys_str_mv | AT hongzhizhong vibrationanalysisofrectangularplateswithfreecornersusingsplinebaseddifferentialquadrature AT qiangguo vibrationanalysisofrectangularplateswithfreecornersusingsplinebaseddifferentialquadrature |