- Teknik Dergi
- Volume:33 Issue:1
- Fundamental Frequencies of Elliptical Plates using Static Deflections
Fundamental Frequencies of Elliptical Plates using Static Deflections
Authors : Murat ALTEKİN
Pages : 11569-11589
Doi:10.18400/tekderg.817251
View : 30 | Download : 2
Publication Date : 2022-01-01
Article Type : Research Paper
Abstract :Fundamental frequencies of solid and annular elliptical plates were approximated using the static deflections by means of finite element method insert ignore into journalissuearticles values(FEM); without computing the eigenvalues. The problem was formulated within the framework of the first order shear deformation theory insert ignore into journalissuearticles values(FSDT);. The effects of insert ignore into journalissuearticles values(i); the inner and outer boundary conditions, insert ignore into journalissuearticles values(ii); the size of the perforation, insert ignore into journalissuearticles values(iii); the aspect ratio, and insert ignore into journalissuearticles values(iv); the thickness of the plate on the performance of the method were examined via a large variety of numerical simulations. Convergence study was performed through h-refinement. Accuracy of the results was validated through comparison studies. The results reveal that the application of the Morley’s formula which does not require eigenvalue analysis approximates the fundamental frequency with finer mesh compared to the eigenvalue analysis. The method can be considered as a practical technique to approximate the fundamental frequency. However, the boundary conditions have dominant role on the accuracy of the solution particularly when the plate is perforated.Keywords : Vibration, Fundamental frequency, Static deflection, Plate, Finite Element Method
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