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Journals / Eskişehir Osmangazi Üniversitesi Mühendislik Mimarlık Fakültesi Dergisi / 2008 / Cilt: 21 - Sayı: 2

Viskoelastik kirişlerin sonlu elemanlar yöntemiyle statik analizi

Static analysis of viscoelastic beams through finite element method

Hakan EROL
M. Tacettin SARIOĞLU
H. Selim ŞENGEL
Pages
85–100
Publication Date
2022-10-18
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Following these analyses, results are obtained by using Reverse Laplace Transformation method developed by Honig and Hirdes.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:This study focuses on straight beams by taking viscoelastic behavior of material.
📊
Key Findings & Data:Time-dependent behavior of the material is stated with the help of Prony series.
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Conclusion & Impact:Following these analyses, results are obtained by using Reverse Laplace Transformation method developed by Honig and Hirdes.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

This study focuses on straight beams by taking viscoelastic behavior of material. Time-dependent behavior of the material is stated with the help of Prony series. A constant poisson ratio has been used. Constitution equations for beam are combined in one function with Hamilton Principle, and Laplace transformation is used to free it from time parameter. Finite element formulation is formed with linear shape functions. While integral operation of equations with a shear effect is executed with reduced integration method, integral operations of others are executed with full integration method. Following these analyses, results are obtained by using Reverse Laplace Transformation method developed by Honig and Hirdes.

Özet

Bu çalışmada malzeme için viskoelastik davranış kabulleri yapılarak, doğru eksenli kirişin analizi yapılmıştır. Malzemenin zamana bağlı davranışı Prony serisi yardımıyla ifade edilmiştir. Poisson oranı sabit olarak alınmıştır. Kiriş için elde edilen bünye denklemleri Hamilton Prensibi yardımıyla bir fonksiyonelde toplanmış, Laplace dönüşümü kullanılarak zaman parametresinden bağımsız hale getirilmiştir. Lineer olarak seçilen şekil fonksiyonları yardımıyla sonlu elemanlar formülasyonu oluşturulmuştur. Bu aşamada kayma etkisinin bulunduğu ifadelerin integral işlemi indirgenmiş integral (Reduce Integration) yöntemiyle, diğer ifadelerin integral işlemleri ise tam integral yöntemiyle yapılmıştır. Bu çözümlemelerden sonra Honig ve Hirdes’in geliştirdiği Ters Laplace Dönüşüm metodu kullanılmak suretiyle sonuçlar elde edilmiştir.

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Cite This Article

EROL, H., SARIOĞLU, M. T., ŞENGEL, H. S. (2022). Viskoelastik kirişlerin sonlu elemanlar yöntemiyle statik analizi. Eskişehir Osmangazi Üniversitesi Mühendislik Mimarlık Fakültesi Dergisi, Cilt: 21 - Sayı: 2, 85–100. https://ajindex.com/articles/505857

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References (12)

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