Transverse Vibrations of Clamped and Simply-Supported Circular Plates with Two Dimensional Thickness Variation
Two dimensional boundary characteristic orthonormal polynomials are used in the Ritz method for the vibration analysis of clamped and simply-supported circular plates of varying thickness. The thickness variation in the radial direction is linear whereas in the circumferential direction the thicknes...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.3233/SAV-2011-0630 |
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| _version_ | 1832563547426521088 |
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| author | N. Bhardwaj A.P. Gupta K.K. Choong C.M. Wang Hiroshi Ohmori |
| author_facet | N. Bhardwaj A.P. Gupta K.K. Choong C.M. Wang Hiroshi Ohmori |
| author_sort | N. Bhardwaj |
| collection | DOAJ |
| description | Two dimensional boundary characteristic orthonormal polynomials are used in the Ritz method for the vibration analysis of clamped and simply-supported circular plates of varying thickness. The thickness variation in the radial direction is linear whereas in the circumferential direction the thickness varies according to cos kθ, where k is an integer. In order to verify the validity, convergence and accuracy of the results, comparison studies are made against existing results for the special case of linearly tapered thickness plates. Variations in frequencies for the first six normal modes of vibration and mode shapes for various taper parameters are presented. |
| format | Article |
| id | doaj-art-257dac763d2e48a6acb43311ae4de2b7 |
| institution | Kabale University |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-257dac763d2e48a6acb43311ae4de2b72025-02-03T01:13:11ZengWileyShock and Vibration1070-96221875-92032012-01-0119327328510.3233/SAV-2011-0630Transverse Vibrations of Clamped and Simply-Supported Circular Plates with Two Dimensional Thickness VariationN. Bhardwaj0A.P. Gupta1K.K. Choong2C.M. Wang3Hiroshi Ohmori4School of Civil Engineering, Universiti Sains Malaysia, Engineering Campus, 14300 Nibong Tebal, Seberang Perai Selatan, Pulau Pinang, MalaysiaDepartment of Applied Sciences and Humanities, Huda- Sector 23-A, ITM University, Gurgaon- Haryana-122017, IndiaSchool of Civil Engineering, Universiti Sains Malaysia, Engineering Campus, 14300 Nibong Tebal, Seberang Perai Selatan, Pulau Pinang, MalaysiaDepartment of Civil Engineering, National University of Singapore, Kent Ridge, SingaporeDepartment of Environmental Engineering and Architecture, School of Environmental Studies, Nagoya University, JapanTwo dimensional boundary characteristic orthonormal polynomials are used in the Ritz method for the vibration analysis of clamped and simply-supported circular plates of varying thickness. The thickness variation in the radial direction is linear whereas in the circumferential direction the thickness varies according to cos kθ, where k is an integer. In order to verify the validity, convergence and accuracy of the results, comparison studies are made against existing results for the special case of linearly tapered thickness plates. Variations in frequencies for the first six normal modes of vibration and mode shapes for various taper parameters are presented.http://dx.doi.org/10.3233/SAV-2011-0630 |
| spellingShingle | N. Bhardwaj A.P. Gupta K.K. Choong C.M. Wang Hiroshi Ohmori Transverse Vibrations of Clamped and Simply-Supported Circular Plates with Two Dimensional Thickness Variation Shock and Vibration |
| title | Transverse Vibrations of Clamped and Simply-Supported Circular Plates with Two Dimensional Thickness Variation |
| title_full | Transverse Vibrations of Clamped and Simply-Supported Circular Plates with Two Dimensional Thickness Variation |
| title_fullStr | Transverse Vibrations of Clamped and Simply-Supported Circular Plates with Two Dimensional Thickness Variation |
| title_full_unstemmed | Transverse Vibrations of Clamped and Simply-Supported Circular Plates with Two Dimensional Thickness Variation |
| title_short | Transverse Vibrations of Clamped and Simply-Supported Circular Plates with Two Dimensional Thickness Variation |
| title_sort | transverse vibrations of clamped and simply supported circular plates with two dimensional thickness variation |
| url | http://dx.doi.org/10.3233/SAV-2011-0630 |
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