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Journals / Journal of Scientific Reports-A / 2014 / Sayı: 033

DEFLECION OF BEAMS WITH VARIABLE THICKNESS BY FINITE DIFFERENCE METHOD

DEĞİŞKEN KESİTLİ KİRİŞLERDE ELASTİK EĞRİNİN SONLU FARKLAR YÖNTEMİ İLE HESABI

Mustafa Haluk SARAÇOĞLU
Mahmud Sami DÖVEN
Burak KAYMAK
Pages
9–24
Publication Date
2014-04-15
DOI
—
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AI Summary & Key Takeaways

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

Results have been compared with the ones obtained from the finite element analysis.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:Beams with variable thickness are commonly used in engineering fields such as civil, mechanical and aerospace engineering.
📊
Key Findings & Data:In this study, relation between the deflection of beams with variable thickness and load is expressed as fourth order differential equations and calculated by finite difference method.
💡
Conclusion & Impact:Results have been compared with the ones obtained from the finite element analysis.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Değişken kesitli kiriş · çökme · elastik eğri

Abstract

Beams with variable thickness are commonly used in engineering fields such as civil, mechanical and aerospace engineering. In this study, relation between the deflection of beams with variable thickness and load is expressed as fourth order differential equations and calculated by finite difference method. Calculations were made by a developed computer program. Relationship between finite difference mesh number and deflection value at the specific point of beam with variable thickness were presented in tables and graphs as a result of the solutions of examples by developed computer program. Results have been compared with the ones obtained from the finite element analysis.

Özet

Değişken kesitli kirişler, inşaat, makine, havacılık ve uzay gibi mühendislik alanlarında yaygın olarak kullanılmaktadır. Bu çalışmada, değişken kesitli kirişlerde çökmeler ile buna sebep olan dış yükler arasında kurulan dördüncü dereceden diferansiyel denklemler sonlu farklar yöntemi ile çözümlenmiştir. Bu amaçla bir bilgisayar programı geliştirilmiştir. Literatürde konu ile ilgili yer alan örneklerin geliştirilen bilgisayar programı ile çözümü sonucunda sonlu fark bölüm sayısı ile değişken kesitli kirişin belirli noktasındaki çökme değeri arasındaki ilişkiler tablo ve grafikler şeklinde sunulmuştur. Bu sonuçlar sonlu elemanlar yöntemi ile elde edilen sonuçlarla karşılaştırılmıştır.

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Cite This Article

SARAÇOĞLU, M. H., DÖVEN, M. S., KAYMAK, B. (2014). DEFLECION OF BEAMS WITH VARIABLE THICKNESS BY FINITE DIFFERENCE METHOD. Journal of Scientific Reports-A, Sayı: 033, 9–24. https://ajindex.com/articles/779089

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