A Study on Vibration of Tapered Non-Homogeneous Rectangular Plate with Structural Parameters
Effects of structural parameters on the vibration of a tapered non-homogeneous rectangular plate with different combinations of boundary conditions are discussed. Tapering in the plate is assumed to be sinusoidal in the x -direction. Here, temperature variation and non-homogeneity in the plate mate...
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| Format: | Article |
| Language: | English |
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University of Zielona Góra
2018-11-01
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| Series: | International Journal of Applied Mechanics and Engineering |
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| Online Access: | https://www.ijame-poland.com/A-Study-on-Vibration-of-Tapered-Non-Homogeneous-Rectangular-Plate-with-Structural,166948,0,2.html |
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| author | N. Kaur A. Singhal A. Khanna |
| author_facet | N. Kaur A. Singhal A. Khanna |
| author_sort | N. Kaur |
| collection | DOAJ |
| description | Effects of structural parameters on the vibration of a tapered non-homogeneous rectangular plate with different combinations of boundary conditions are discussed. Tapering in the plate is assumed to be sinusoidal in the x -direction. Here, temperature variation and non-homogeneity in the plate material are also considered sinusoidal in the x -direction. The Rayleigh-Ritz method is used to calculate the frequency parameter for the first two modes of vibration for different values of the structural parameters, i.e. the taper parameter, thermal gradient, aspect ratio and non-homogeneity constant. Results are obtained for three boundary conditions, i.e. clamped boundary (C-C-C-C), simply supported boundary (SS-SS-SS-SS) and clamped-simply supported boundary (CSS-C-SS). Numerical values of the frequency parameter are given in a compact tabular form. |
| first_indexed | 2024-03-12T16:34:56Z |
| format | Article |
| id | doaj.art-e6789e35f22c466391c25f22fca4583d |
| institution | Directory Open Access Journal |
| issn | 1734-4492 2353-9003 |
| language | English |
| last_indexed | 2024-03-12T16:34:56Z |
| publishDate | 2018-11-01 |
| publisher | University of Zielona Góra |
| record_format | Article |
| series | International Journal of Applied Mechanics and Engineering |
| spelling | doaj.art-e6789e35f22c466391c25f22fca4583d2023-08-08T14:59:52ZengUniversity of Zielona GóraInternational Journal of Applied Mechanics and Engineering1734-44922353-90032018-11-0123487388410.2478/ijame-2018-0048166948A Study on Vibration of Tapered Non-Homogeneous Rectangular Plate with Structural ParametersN. Kaur0A. Singhal1A. Khanna2Department of Mathematics, Statistics and Physics, Punjab Agricultural University, Ludhiana, Punjab, IndiaDepartment of Mathematics, Dr. Akhilesh Das Gupta Institute of Technology and Management, New Delhi, IndiaDepartment of Mathematics, D.A.V. College Sadhaura, Yamunanagar, Haryana, IndiaEffects of structural parameters on the vibration of a tapered non-homogeneous rectangular plate with different combinations of boundary conditions are discussed. Tapering in the plate is assumed to be sinusoidal in the x -direction. Here, temperature variation and non-homogeneity in the plate material are also considered sinusoidal in the x -direction. The Rayleigh-Ritz method is used to calculate the frequency parameter for the first two modes of vibration for different values of the structural parameters, i.e. the taper parameter, thermal gradient, aspect ratio and non-homogeneity constant. Results are obtained for three boundary conditions, i.e. clamped boundary (C-C-C-C), simply supported boundary (SS-SS-SS-SS) and clamped-simply supported boundary (CSS-C-SS). Numerical values of the frequency parameter are given in a compact tabular form.https://www.ijame-poland.com/A-Study-on-Vibration-of-Tapered-Non-Homogeneous-Rectangular-Plate-with-Structural,166948,0,2.htmlvibrationnon-homogeneitythermal gradienttaper parameterclampedsimply supportedaspect ratio |
| spellingShingle | N. Kaur A. Singhal A. Khanna A Study on Vibration of Tapered Non-Homogeneous Rectangular Plate with Structural Parameters International Journal of Applied Mechanics and Engineering vibration non-homogeneity thermal gradient taper parameter clamped simply supported aspect ratio |
| title | A Study on Vibration of Tapered Non-Homogeneous Rectangular Plate with Structural Parameters |
| title_full | A Study on Vibration of Tapered Non-Homogeneous Rectangular Plate with Structural Parameters |
| title_fullStr | A Study on Vibration of Tapered Non-Homogeneous Rectangular Plate with Structural Parameters |
| title_full_unstemmed | A Study on Vibration of Tapered Non-Homogeneous Rectangular Plate with Structural Parameters |
| title_short | A Study on Vibration of Tapered Non-Homogeneous Rectangular Plate with Structural Parameters |
| title_sort | study on vibration of tapered non homogeneous rectangular plate with structural parameters |
| topic | vibration non-homogeneity thermal gradient taper parameter clamped simply supported aspect ratio |
| url | https://www.ijame-poland.com/A-Study-on-Vibration-of-Tapered-Non-Homogeneous-Rectangular-Plate-with-Structural,166948,0,2.html |
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