Kalın Cidarlı Fonksiyonel Dereceli Dönen Küresel Basınçlı Kapların Elastik Analizi

Abstract

Bu çalışmada fonksiyonel derecelendirilmiş, dönen, kalın cidarlı küresel basınçlı kaplar elastik olarak incelenmiştir. Radyal doğrultuda metal ve alüminyum karışımından oluşan kürenin malzeme özelliklerinin Halpin-Tsai homojenleştirme şeması kullanılarak derecelendirildiği varsayılmıştır. Bu koşullar, geleneksel analitik yöntemlerle çözülmesi zor, değişken katsayılı sınır değer problemi ile sonuçlanır. Problemin çözümü pseudospektral Chebyshev yöntemi ile ele alınmıştır. Diferansiyel matris yaklaşımına dayanan bu yöntem, diferansiyel denklemi doğrusal bir denklem sistemine dönüştürerek herhangi bir ayrıştırma yöntemiyle kolayca çözülebilir hale getirir. Elde edilen sonuçları doğrulamak için literatürde mevcut analitik çözümler kullanılmıştır. Rastgele seçilen metal ve alüminyum karışımı ile iç basınç ve döndürmenin gerilme ve yer değiştirme dağılımları üzerindeki etkileri gösterilmiştir.

Keywords

• Kalın cidarlı küre
• Dönen küre
• Fonksiyonel dereceli malzemeler
• Halpin-Tsai yöntemi

Elastic Analysis Of Functionally Graded Rotating Spherical Pressure Vessels

Abstract

In this study, elastic analysis of functionally graded rotating hollow spherical pressure vessels is investigated. It is assumed that the material properties of these structures, thought to be formed gradually from a mixture of metal and aluminum in the radial direction, are graded using the Halpin-Tsai homogenization scheme. These conditions result in a variable coefficient boundary value problem that may difficult to be solved by conventional analytical methods. The solution to this problem is handled by the Pseudospectral Chebyshev Method. Based on the differential matrix approach, this method transforms the differential equation into a linear equation system, making it easily solvable by any decomposition method. The solutions available in the literature are used to validate the results. The effects of internal pressure and rotation with a mixture of randomly selected metal and aluminum on the stress and displacement distributions are demonstrated.

Keywords

• Thick-walled sphere
• rotating sphere
• Functionally graded materials
• Halpin-Tsai method

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