Bending of Super-Elliptical Mindlin Plates by Finite Element Method

Yıl 2018, Cilt: 29 Sayı: 4, 8469 - 8496, 01.07.2018

Murat Altekin

https://doi.org/10.18400/tekderg.332384

Cited By: 6

Öz

Bending of shear deformable super-elliptical
plates under transverse load was investigated using the Mindlin plate theory by
means of the finite element method. Four-noded isoparametric quadrilateral
plate bending element with three degrees of freedom per node was used.
Parametric results for the maximum deflections were presented via sensitivity
analysis for several geometric characteristics such as thickness, aspect ratio,
and super-elliptical power. Good agreement with the solutions of elliptical and
rectangular plates was obtained using fine mesh. The results revealed that the
deflections of clamped and point supported super-elliptical plates lie in the
range bounded by elliptical and rectangular plates. However, the bending
response of simply supported plates was observed to be entirely different. It
was shown that high rate of convergence is required to obtain such a relation
and using insufficient number of degrees of freedom results in finding a
totally different trend for the clamped case.

Anahtar Kelimeler

Plate, bending, deflection, finite element

Bending of Super-Elliptical Mindlin Plates by Finite Element Method

Öz

Kayma şekil değiştirmesi yapabilen süper-eliptik plakların transvers yük altında eğilmesi sonlu eleman yöntemiyle incelendi. Her düğüm noktasında üç serbestlik derecesine sahip dört düğüm noktalı izoparametrik dörtgen plak eğilme elemanı kullanıldı.Duyarlık analizi yapılarak kalınlık, en-boy oranı, süper-eliptik üs gibi geometrik özellikler için en büyük çökme değerleri parametrik olarak belirlendi. Ankastre ve nokta mesnetli süper-eliptik plakların çökmesinin eliptik ve dikdörtgen plakların arasında olduğu ortaya kondu. Bununla birlikte basit mesnetli plaklarda durumun tamamen farklı olduğu gözlemlendi. Bu ilişkilerin belirlenmesinde yüksek yakınsama elde edilmesinin gerektiği gösterildi ve yetersiz sayıda serbestlik tanıtılması durumunda ankastre mesnetli plaklar için aynı davranışın bulunamadığı gösterildi. 

Anahtar Kelimeler

plak, çökme, eğilme, sonlu eleman

Kaynakça

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