Wind and Structures, An International Journal, volume 24, issue 4, pages 307-331
Free transverse vibration of shear deformable super-elliptical plates
Publication type: Journal Article
Publication date: 2017-04-25
scimago Q3
wos Q3
SJR: 0.376
CiteScore: 2.7
Impact factor: 1.3
ISSN: 12266116, 15986225
Building and Construction
Civil and Structural Engineering
Modeling and Simulation
Abstract
Free transverse vibration of shear deformable super-elliptical plates with uniform thickness was studied based on Mindlin plate theory using finite element method. Quadrilateral isoparametric elements were used in the paper. Sensitivity analysis was made to determine the influence of the thickness, the aspect ratio, and the shape of the plate on the natural frequency. Accuracy of the results computed in the current study was validated by comparing them with the solutions available in the literature. The results reveal that the frequencies of clamped super-elliptical plates lie in the range bounded by elliptical and rectangular plates irrespective of the aspect ratio, and furthermore, the frequency decreases if the super-elliptical power increases. A similar trend was observed for simply supported plates with high aspect ratio. The free vibration response for the first and the second symmetric-antisymmetric (SA) modes were found to be different for high aspect ratio. The results reveal that using insufficient number of degrees of freedom results in finding a totally different relation between the super-elliptical power and the frequency.
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Altekin M. Free transverse vibration of shear deformable super-elliptical plates // Wind and Structures, An International Journal. 2017. Vol. 24. No. 4. pp. 307-331.
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Altekin M. Free transverse vibration of shear deformable super-elliptical plates // Wind and Structures, An International Journal. 2017. Vol. 24. No. 4. pp. 307-331.
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TY - JOUR
DO - 10.12989/was.2017.24.4.307
UR - https://doi.org/10.12989/was.2017.24.4.307
TI - Free transverse vibration of shear deformable super-elliptical plates
T2 - Wind and Structures, An International Journal
AU - Altekin, Murat
PY - 2017
DA - 2017/04/25
PB - Techno-Press
SP - 307-331
IS - 4
VL - 24
SN - 1226-6116
SN - 1598-6225
ER -
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@article{2017_Altekin,
author = {Murat Altekin},
title = {Free transverse vibration of shear deformable super-elliptical plates},
journal = {Wind and Structures, An International Journal},
year = {2017},
volume = {24},
publisher = {Techno-Press},
month = {apr},
url = {https://doi.org/10.12989/was.2017.24.4.307},
number = {4},
pages = {307--331},
doi = {10.12989/was.2017.24.4.307}
}
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Altekin, Murat. “Free transverse vibration of shear deformable super-elliptical plates.” Wind and Structures, An International Journal, vol. 24, no. 4, Apr. 2017, pp. 307-331. https://doi.org/10.12989/was.2017.24.4.307.