Çembersel küçük bir ilkel kusura sahip düzgün yayılı düşey yük etkisindeki ankastre mesnetli kirişlerin vurgu burkulması ve burkulma sonrası analizleri

Year 2022, , 1091 - 1102, 28.02.2022

Ayfer Tekin Atacan R. Faruk Yükseler

https://doi.org/10.17341/gazimmfd.845996

Abstract

Bu çalışmada; düzgün yayılı düşey yük etkisindeki, başlangıçta küçük bir çembersel kusura sahip ankastre mesnetli kirişlerde, vurgu stabilitesi ve burkulma sonrası davranışlar incelenmektedir. İlkel kusurlu kirişin geometrisi ile ilgili bir parametrenin, burkulma değerleri ve burkulma sonrası davranış üzerindeki etkisinin yanı sıra ilkel kusurlu kirişin şekil değiştirmiş geometrisi, mesnet tepkileri ve iç kuvvetler üzerindeki etkileri de araştırılmıştır. Euler-Bernoulli kiriş teorisi çerçevesinde elde edilen doğrusal olmayan yönetici diferansiyel denklemlerin sayısal çözümü için sonlu farklar yöntemi ve yer değiştirme kontrollü Newton-Raphson yöntemi kullanılmıştır. Geometrik parametrenin; burkulma değerleri, ilkel kusurlu kirişin şekil değiştirmiş geometrisi, mesnet tepkileri ve iç kuvvetleri üzerinde önemli bir etkisi olduğu gözlenmiştir.

Keywords

Vurgu burkulması, ilkel kusurlu kiriş, doğrusal olmayan denklemler, sonlu farklar yöntemi, yer değiştirme kontrollü Newton-Raphson yöntemi

Snap-buckling and post-buckling analyses of fixed supported beams having initially small circular imperfection under the effect of uniformly distributed vertical load

Abstract

In this study, snap-buckling and post-buckling behaviors of fixed beams having initially small circular imperfection subjected to uniformly distributed vertical loads are examined. The effect of a parameter related to the geometry of the initially imperfect beam on the buckling values as well as the deformed shapes of the initially imperfect beam, support reactions and internal forces are investigated. The finite difference method and the displacement-controlled Newton-Raphson method are used for the numerical solution of the nonlinear governing differential equations obtained within the framework of the Euler-Bernoulli beam theory. It is observed that the concerning geometric parameter significantly effects the buckling values, deformed shapes of the initially imperfect beam, support reactions and internal forces.

Keywords

Snap-buckling, initially imperfect beam, nonlinear equations, finite difference method, displacement-controlled Newton-Raphson method

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