Geometrik süreksizliğe sahip konsol kirişin Carrera birleşik formülasyonu ile statik analizi

Yıl 2022, Cilt: 24 Sayı: 2, 497 - 514, 08.07.2022

Esra Eylem Karataş

Öz

Bu çalışma, dikey tekil yük etkisinde ve kesitinde boyutları farklı olacak şekilde bir delik içeren dikdörtgen kesitli konsol bir kirişin statik analizi için sayısal bir çözüm sunmaktadır. N. mertebeden Taylor açılımı (TE) ve Lagrange açılımı (LE) uygulanarak Carrera Birleşik Formulasyonu (CUF) kullanılmıştır. Hem her iki geliştirilmiş kiriş teorisinin hem de farklı boyutlardaki deliğin, kesit üzerinde kalınlık boyunca gerilme bileşenleri üzerine etkisi incelenmiştir. İlk olarak, bir yakınsama ve kesin çözümden elde edilen sonuçlar ile bir karşılaştırma çalışması yapılmıştır. Daha sonra, tekil yük etkisinde ve kesitinde delik içermeyen dikdörtgen kesitli konsol kiriş ele alınmıştır. Son olarak da, aynı yük etkisi altında kesitte farklı yarıçaplara sahip delik olması durumu ele alınmıştır.

Anahtar Kelimeler

Geliştirilmiş kiriş modelleri, birleşik formulasyon, CUF, sonlu eleman metodu, delik.

Static analysis of cantilever beam with geometrical discontinuity by Carrera Unified Formulation

Öz

This paper presents a numerical solution for static analysis of a rectangular cantilever beam with different sizes of a hole on its cross-section subjected to vertical concentrated load. Carrera Unified Formulation (CUF) is used by employing both N-OrderTaylor type expansion (TE) and Lagrange type expansion (LE). The influence of both these different refined beam models and the different sizes of hole on the evaluation of the stress components on the cross-section along the thickness is examined. First, with the convergence study, a comparison is performed with the results obtained from the exact solution. Then, a rectangular cantilever beam with compact cross-section subjected to vertical concentrated load is considered. Finally, the presence of a hole with different radius sizes on its cross-section subjected to the same loading is discussed.

Anahtar Kelimeler

Refined beam models, unified formulation, CUF, finite element method, hole

Kaynakça

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