Vibration Analysis of Rectangular Plates with One or More Guided Edges via Bicubic B-Spline Method
A simple and accurate method is proposed for the vibration analysis of rectangular plates with one or more guided edges, in which bicubic B-spline interpolation in combination with a new type of basis cubic B-spline functions is used to approximate the plate deflection. This type of basis cubic B-sp...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2005-01-01
|
| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.1155/2005/128640 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832563573699641344 |
|---|---|
| author | W.J. Si K.Y. Lam S.W. Gong |
| author_facet | W.J. Si K.Y. Lam S.W. Gong |
| author_sort | W.J. Si |
| collection | DOAJ |
| description | A simple and accurate method is proposed for the vibration analysis of rectangular plates with one or more guided edges, in which bicubic B-spline interpolation in combination with a new type of basis cubic B-spline functions is used to approximate the plate deflection. This type of basis cubic B-spline functions can satisfy simply supported, clamped, free, and guided edge conditions with easy numerical manipulation. The frequency characteristic equation is formulated based on classical thin plate theory by performing Hamilton's principle. The present solutions are verified with the analytical ones. Fast convergence, high accuracy and computational efficiency have been demonstrated from the comparisons. Frequency parameters for 13 cases of rectangular plates with at least one guided edge, which are possible by approximate or numerical methods only, are presented. These results are new in literature. |
| format | Article |
| id | doaj-art-85dd814d02974cb18227472e4a19ff5a |
| institution | Kabale University |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 2005-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-85dd814d02974cb18227472e4a19ff5a2025-02-03T01:13:11ZengWileyShock and Vibration1070-96221875-92032005-01-0112536337610.1155/2005/128640Vibration Analysis of Rectangular Plates with One or More Guided Edges via Bicubic B-Spline MethodW.J. Si0K.Y. Lam1S.W. Gong2Department of Mechanical Engineering, National University of Singapore, 10 Kent Ridge Crescent, 119260, SingaporeDepartment of Mechanical Engineering, National University of Singapore, 10 Kent Ridge Crescent, 119260, SingaporeInstitute of High Performance of Computing, 1 Science Park Road No. 01-01, the Capricorn, Science Park II, 117528, SingaporeA simple and accurate method is proposed for the vibration analysis of rectangular plates with one or more guided edges, in which bicubic B-spline interpolation in combination with a new type of basis cubic B-spline functions is used to approximate the plate deflection. This type of basis cubic B-spline functions can satisfy simply supported, clamped, free, and guided edge conditions with easy numerical manipulation. The frequency characteristic equation is formulated based on classical thin plate theory by performing Hamilton's principle. The present solutions are verified with the analytical ones. Fast convergence, high accuracy and computational efficiency have been demonstrated from the comparisons. Frequency parameters for 13 cases of rectangular plates with at least one guided edge, which are possible by approximate or numerical methods only, are presented. These results are new in literature.http://dx.doi.org/10.1155/2005/128640 |
| spellingShingle | W.J. Si K.Y. Lam S.W. Gong Vibration Analysis of Rectangular Plates with One or More Guided Edges via Bicubic B-Spline Method Shock and Vibration |
| title | Vibration Analysis of Rectangular Plates with One or More Guided Edges via Bicubic B-Spline Method |
| title_full | Vibration Analysis of Rectangular Plates with One or More Guided Edges via Bicubic B-Spline Method |
| title_fullStr | Vibration Analysis of Rectangular Plates with One or More Guided Edges via Bicubic B-Spline Method |
| title_full_unstemmed | Vibration Analysis of Rectangular Plates with One or More Guided Edges via Bicubic B-Spline Method |
| title_short | Vibration Analysis of Rectangular Plates with One or More Guided Edges via Bicubic B-Spline Method |
| title_sort | vibration analysis of rectangular plates with one or more guided edges via bicubic b spline method |
| url | http://dx.doi.org/10.1155/2005/128640 |
| work_keys_str_mv | AT wjsi vibrationanalysisofrectangularplateswithoneormoreguidededgesviabicubicbsplinemethod AT kylam vibrationanalysisofrectangularplateswithoneormoreguidededgesviabicubicbsplinemethod AT swgong vibrationanalysisofrectangularplateswithoneormoreguidededgesviabicubicbsplinemethod |