Forced vibration analysis of rectangular clamped plate subjected to hydrostatic loads
| dc.contributor.author | Adeduntan, Kolawole Sunday. | |
| dc.date.accessioned | 2025-10-30T10:43:58Z | |
| dc.date.available | 2025-10-30T10:43:58Z | |
| dc.date.issued | 2015-07 | |
| dc.description | Master's thesis on "forced vibration analysis". It contains diagrams, pictures, mathematical equations and tyables. | |
| dc.description.abstract | This study presents forced vibration analysis of rectangular clamped plate subjected to hydrostatic load. Galerkin’s equilibrium equation of plate under forced vibration was used. Orthogonal polynomial deflection equation of a plate under hydrostatic load was also used. The deflection equation was substituted into the Galerkin equation and integrated within the closed domain. After integration, the natural frequency of the plate was determined for free vibration. The coefficient of the deflection for the various cases of forced vibration was also determined. Different percentages (0%, 20%, 40%, 60%, 80% and 100%) of the fundamental natural frequency were used as various forcing frequencies. With these frequencies, this study obtained deflection, bending moment and shear force of the plate for different values of aspect ratios (p=a/b), where a and b are the plate dimensions along x and y-axes. The values of fundamental natural frequency obtained were compared with those from Ventsel and Krauthemmer, Galin and Janich. For a square plate, the fundamental natural frequency obtained is 35.9982Hz and those of Ventsel and Krauthemmer, Galin and Janich are 36.3485Hz, 36.000Hz and 37.2500Hz respectively. For the same square plate, the mid span deflection using 0%, 20%, 40%, 60%, 80% and 100% of fundamental natural frequency are 0.00131m, 0.00164m, 0.00218m, 0.00327m and 0.00655m respectively. The edge bending moments of the square plate for same forcing frequencies are 0.0503KNm, 0.0621KNm, 0.0828KNm, 0.1257KNm and 0.2513KNm respectively. It was observed that deflection, bending moment and shear force increase as the forcing frequency increases. | |
| dc.description.sponsorship | Federal University of Technology, Owerri. | |
| dc.identifier.citation | Adeduntan, K. S. (2015) .Forced vibration analysis of rectangular clamped plate subjected to hydrostatic loads, {Unpublished Masters Thesis}. Federal University of Technology, Owerri. | |
| dc.identifier.uri | https://repository.futo.edu.ng/handle/20.500.14562/2239 | |
| dc.language.iso | en | |
| dc.publisher | Federal University of Technology, Owerri. | |
| dc.rights | Attribution-NonCommercial-ShareAlike 4.0 International | en |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-sa/4.0/ | |
| dc.subject | Forced vibration | |
| dc.subject | uniformly Distributed Load | |
| dc.subject | indirect variational method | |
| dc.subject | Galerkin Method | |
| dc.subject | fundamental natural frequency | |
| dc.subject | characteristic orthogonal polynomials | |
| dc.subject | department of civil engineering | |
| dc.title | Forced vibration analysis of rectangular clamped plate subjected to hydrostatic loads | |
| dc.type | Master’s Thesis |