Fonksiyonel derecelendirilmişs malzemeli kirişlerin karma formülasyon sonlu elemanlarla modellenmesi

Date

2015-08-28

Author

Sarıtaş, Afşin

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Bu çalışmada, Hu-Washizu-Barr fonskiyoneline dayanan karma formülasyonlu kiriş elemanı türetilmiştir. Geliştirilen eleman fonksiyonel derecelendirilmiş malzemeden (FDM) oluşan kirişlerin titreşim ve doğrusal olmayan malzeme davranışlarının modellenmesinde kullanılacaktır. Eleman formülasyonunda FDM’den dolayı oluşacak rijitlik ve malzeme dağılımındaki farklılıklar karma formülasyonda kuvvet bazlı yaklaşım yapılması sayesinde kiriş tepkisi elastik ve elastik olmayan durumlar altında gerçekçi olarak modellenebilmiştir. Bu yöntemle hesaplanan tutarlı kütle matrisinde herhangi bir şekilde deplasman enterpolasyonu yapılmasına gerek kalmamıştır. Çelik malzemesi için kinematik ve izotropik pekleşmeli Von Mises plastisite modeli, seramik malzemesi içinse Drucker-Prager plastisite modeli kullanılmıştır. Üç boyutlu gerilme-birim şekil değiştirme denklemleri en yakın genel nokta projeksiyonu algoritması kullanılarak etkin gerilme değerleri kiriş probleminin boyutlarına indirgenmiştir. Sayısal örnekler ve doğrulama çalışmaları, elastik olmayan malzeme davranışının modellenmesi ve ayrıca temel ve yüksek mertebe titreşim modlarının ve şekillerinin tespitinde başarılı olunduğunu göstermektedir.

URI

https://hdl.handle.net/11511/82375
https://polen.itu.edu.tr/xmlui/handle/11527/14679

Conference Name

Fonksiyonel derecelendirilmişs malzemeli kirişlerin karma formülasyon sonlu elemanlarla modellenmesi, 19. Ulusal Mekanik Kongresi, Trabzon, 24-28 Ağustos 2015, Trabzon, Türkiye

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Department of Civil Engineering, Conference / Seminar

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Citation Formats

A. Sarıtaş, “Fonksiyonel derecelendirilmişs malzemeli kirişlerin karma formülasyon sonlu elemanlarla modellenmesi,” presented at the Fonksiyonel derecelendirilmişs malzemeli kirişlerin karma formülasyon sonlu elemanlarla modellenmesi, 19. Ulusal Mekanik Kongresi, Trabzon, 24-28 Ağustos 2015, Trabzon, Türkiye, Trabzon, Türkiye, 2015, Accessed: 00, 2021. [Online]. Available: https://hdl.handle.net/11511/82375.