Buckling of Square and Circular Perforated Square Plates under Uniaxial Loading

Year 2022, Volume: 4 Issue: 2, 61 - 75, 31.12.2022

Fethullah Uslu , Mustafa Halûk Saraçoğlu , Uğur Albayrak

Abstract

This paper aims to investigate the critical buckling loads of uniaxially loaded simply supported square thin plates with central circular and square holes in terms of some parameters like hole shapes, slenderness ratios and total hole areas. In this study, buckling analyses of perforated plates with different hole shapes of perforation and slenderness ratios were carried out. For this purpose, plate models with seven different total hole areas were examined together with the non-perforated plate. The total hole area ratios in the models are 0.79%, 3.14%, 7.07%, 12.57%, 19.63%, 28.27% and 38.48%, respectively. The total hole areas of the models with square holes are arranged to be the same as the models with circular holes to compare the results among circular and square perforated plates properly. The models were established by using the finite-element (FE) software ANSYS using Shell-181 elements which are 4-node structural shell elements. The comparisons on critical buckling loads between square and circular perforated results show that the buckling load for the plates with square holes is higher than for the plates with circular holes.

Keywords

Buckling, Perforated plates, Finite element, Square perforated, Circular perforated

Tek Eksenli Yükleme Altındaki Kare ve Dairesel Delikli Kare Plakların Burkulması

Abstract

Bu makale, merkezi dairesel ve kare deliklere sahip tek eksenli yüklü basit mesnetli kare ince plakların kritik burkulma yüklerini delik şekilleri, narinlik oranları ve toplam delik alanları gibi bazı parametreler açısından incelemeyi amaçlamaktadır. Bu çalışmada, farklı delik şekillerine ve narinlik oranlarına sahip delikli plakların burkulma analizleri yapılmıştır. Bu amaçla boşluksuz plak ile beraber yedi farklı boşluk oranına sahip plak modelleri incelenmiştir. Modellerdeki boşluk oranları sırasıyla %0.79, %3.14, %7.07, %12.57, %19.63, %28.27 ve %38.48 şeklindedir. Dairesel ve kare delikli plaklar arasındaki sonuçları doğru bir şekilde karşılaştırabilmek için kare delikli modellerin toplam delik alanları, dairesel delikli modellerle aynı olacak şekilde düzenlenmiştir. Modeller, kütüphanesinde bulunan 4 düğüm noktalı yapısal kabuk elemanı olan Shell-181 elemanları kullanılarak sonlu elemanlar yazılımı ANSYS ile analiz edilmiştir. Elde edilen sonuçlar, aynı boşluk alanına sahip kare delikli plakaların burkulma yüklerinin dairesel delikli plakalara göre daha yüksek olduğunu göstermiştir.

Keywords

Burkulma, Delikli plaklar, Sonlu eleman, Kare delik, Dairesel delik.

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