Dört Bilinmeyenli Kayma ve Normal Deformasyon Teorisi Kullanılarak İki Yönlü Fonksiyonel Derecelendirilmiş Kirişlerin Eğilme Analizleri

Kesme ve normal deformasyon teorisi ve Simetik Düzgünleştirilmiş Parçacık Hidrodinamiği (SSPH) kullanılarak, çeşitli sınır koşullarına tabi tutulmuş iki yönlü fonksiyonel derecelendirilmiş kirişlerin (FGBs) eğilme davranışı araştırıldı. Geliştirilen kodun doğrulanması için basit mesnetlenmiş bir fonksiynel derecelendirilmiş kiriş problem üzerinde çalışıldı. Karşılaştırma çalışmaları, analitik çözümler ve daha önceki çalışmaların sonuçları vasıtasıyla gerçekleştirildi. Çeşitli üst dereceleri, en-boy oranları (L/h), ve sınır koşulları için maksimum boyutsuz çökme değerleri, boyutsuz eksenel ve kayma gerilmeleri şeklinde numerik hesaplamalar yapıldı. Ankastre-serbest uç şeklinde sınır koşullarına sahip iki yönlü fonksiyonel derecelendirilmiş kirişler için, üst derecelerinin, SSPH yönteminin doğruluğu ve gücü üzerindeki etkileri de araştırıldı.

Bending Analysis of Two Directional Functionally Graded Beams Using A Four-Unknown Shear and Normal Deformation Theory

The bending behaviour of two-directional functionally graded beams (FGBs) subjected to various sets of boundary conditions is investigated by using a shear and normal deformation theory and the Symmetric Smoothed Particle Hydrodynamics (SSPH) method. A simply supported conventional FGB problem is studied to validate the developed code. The comparison studies are performed along with the analytical solutions and the results from previous studies. The numerical calculations in terms of maximum dimensionless transverse deflections, dimensionless axial and transverse shear stresses are performed for various gradation exponents, aspect ratios (L/h) and sets of boundary conditions. The effects of the gradation exponents on the accuracy and the robustness of the SSPH method are also investigated for the two directional functionally graded beams which are having clamped-free boundary condition..

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