Determination of Buckling Temperatures for Elliptical FGM Plates with Variable Thicknesses

Yıl 2019, Cilt: 24 Sayı: 1, 75 - 88, 30.04.2019

İşıl Sanrı Karapınar

https://doi.org/10.17482/uumfd.480661

Cited By: 1

Öz

In this paper, the thermal buckling loads of
elliptical thin plates made of functionally graded material (FGM) with
thicknesses that vary parabolically are examined. The aim is to study the
effect of parabolic thickness variations in the directions of both axes on the
thermal buckling of FGM plates. In the analyses, the boundaries are assumed to
be simply supported and clamped. Rayleigh-Ritz method is applied to solve the
partial differential equations. The Poisson’s ratios of the plates are kept
constant, but their moduli of elasticity and thermal expansion coefficients are
assumed to vary functionally in the thickness direction due to the material
characteristics of FGMs. The study is carried out for several plate aspect
ratios. Thermal buckling results of elliptical FGM plates with parabolically
varying thicknesses are determined and the critical temperatures of those
plates are obtained. 

Anahtar Kelimeler

Elliptical plate, Thermal buckling, Variable thickness, Temperature, FGM, Rayleigh-Ritz method

DEĞİŞKEN KALINLIKLI ELİPTİK FGM PLAKLARIN BURKULMA SICAKLIKLARININ BELİRLENMESİ

Öz

Bu çalışmada,
bir fonksiyona bağlı olarak değişen malzemeden (FGM) yapılmış, kalınlıkları
parabolik olarak değişen, eliptik ince plakların termal burkulma yükleri
incelenmiştir. Amaç, her iki eksendeki parabolik kalınlık değişimlerinin FGM
plakların termal burkulması üzerindeki etkisini incelemektir. Analizlerde,
sınır koşulları basit mesnetli ve ankastre olarak varsayılmaktadır. Kısmi
diferansiyel denklemleri çözmek için Rayleigh-Ritz yöntemi kullanılmıştır.
Plakların Poisson oranlarının sabit olduğu, ancak elastisite modülü ve ısı
genleşme katsayılarının, FGM'lerin malzeme özellikleri nedeniyle kalınlık
yönünde fonksiyonel olarak değiştiği varsayılır. Çalışma çeşitli plak en/boy
oranları için gerçekleştirilmiştir. Parabolik olarak değişen kalınlıklara sahip
eliptik FGM plaklarının termal burkulma sonuçları belirlenip, bu plakların
kritik sıcaklıkları elde edilmiştir.

Anahtar Kelimeler

Eliptik plak, Termal burkulma, Değişken kalınlık, Sıcaklık, FGM, Rayleigh-Ritz yöntemi.

Kaynakça

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