RİTZ YÖNTEMİ İLE DEĞİŞKEN KESİTLİ KOLONLARIN BURKULMA ANALİZİ

Abstract

Bu çalışmada, eksenel bir basınç yükü etkisi altındaki değişken kesitli kolonların burkulma analizi gerçekleştirilmiştir. Kesitin kolon uzunluğu boyunca sürekli değiştiği dikkate alınmıştır. Büyük narinlik oranına sahip üniform olmayan ince kolonları modellemek için klasik kiriş teorisi (kayma deformasyonu etkisiz) kullanılmıştır. Çeşitli koniklik oranları ve sınır koşulları için üniform olmayan kolonların kritik burkulma yüklerini elde etmek için Ritz yöntemi uygulanmıştır. Değişken kesitli kolonların burkulma yükleri üzerindeki koniklik oranı ve sınır koşullarının etkilerini incelemek için detaylı bir parametrik çalışma gerçekleştirilmiştir. Bu analizin geçerliliğini ve hassasiyetini kanıtlamak üzere literatürdeki mevcut ilgili sonuçlar ile bazı karşılaştırmalı tablolar sunulmuştur.    

Keywords

• Burkulma,Kolon,Koniklik oranı,Düzensizlik,Sınır koşulları

BUCKLING ANALYSIS OF COLUMNS WITH VARIABLE CROSS-SECTION VIA RITZ METHOD

Abstract

In this study, buckling analysis of columns with variable cross-section is performed under an axial compressive load. It is considered that the cross-section varies constantly along the length of the column. Classical beam theory (without effect of shear deformation) is used to model the non-uniform thin column with a large slenderness ratio. Ritz method is applied to obtain the critical buckling loads of the non-uniform columns for various taper ratios and boundary conditions. A detailed parametric study is performed to investigate the influences of taper ratio and boundary conditions on the buckling loads of column with variable cross-section. In order to demonstrate the validity and sensitivity of the present analysis, some comparative tables with the related results available in the literature are presented.

Keywords

• Buckling,Column,Taper ratio,Non-uniformity,Boundary conditions

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