YÜKSEK MERTEBE KAYMA DEFORMASYON TEORİSİ KAPSAMINDA POROZ ORTOTROPİK TABAKALI PLAKLARIN BURUKULMA ANALİZİ

Abstract

Bu çalışmada, yüksek mertebe kayma deformasyon teorisi kullanılarak poroz ortotropik tabakalı plakların burkulma davranışı araştırılmaktadır. Plağın tek ve iki eksenli basınca maruz kaldığı ve plak kalınlığı boyunca özel fonksiyonlarla tanımlanan üç farklı porozite dağılımı dikkate alınmaktadır. Stabilite denklemleri virtüel iş prensibiyle türetilmektedir ve elde edilen kısmi türevli diferansiyel denklemlere Galerkin yöntemi uygulanarak kritik burkulma yükü ifadesi elde edilmektedir. Türetilen kritik burkulma yükü ifadesiyle elde edilen sonuçlar, literatürdeki uygun sonuçlarla kıyaslanarak doğrulanmaktadır. Kritik burkulma yükünün kayma deformasyonuna, poroziteye, ortotropiye, yükleme faktörüne ve farklı geometrik özelliklere duyarlılığını gözlemlemek için parametrik bir analiz yapılmaktadır.

Keywords

• Burkulma
• Porozite
• Poroz plak
• Tabakalı plak
• Kayma deformasyon teorisi

Buckling Analysis of Porous Orthotropic Laminated Plates Within Higher-Order Shear Deformation Theory

Abstract

This study investigates the buckling behavior of porous orthotropic laminated plates using high-order shear deformation theory. The plate is under uniaxial and biaxial compressive loadings. Three different porosity distributions defined by specific functions throughout the plate thickness are considered. The stability equations are derived by the virtual work principle, and the critical buckling load relation is obtained by applying the Galerkin method to the partial differential equations obtained. The results obtained with the derived critical buckling load expression are verified by comparing with the appropriate results in the literature. A parametric analysis is performed to observe the sensitivity of the critical buckling load to shear deformation, porosity, orthotropy, loading factor, and different geometric properties.

Keywords

• Buckling
• Porosity
• Porous Plate
• Laminated Plate
• Shear Deformation Theory

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