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Journals / Politeknik Dergisi / 2020 / Cilt: 23 - Sayı: 1

Large deflection analysis of prismatic cantilever beam comparatively by using combing method and iterative DQM

Birleşim Metodu ve İteratif DQM ile Prizmatik Ankastre Kirişlerde Karşılaştırmalı Büyük Sehim Analizi

Hüseyin BAYRAKÇEKEN
Zekeriya GİRGİN
Faruk Emre AYSAL
Pages
111–120
Publication Date
2022-10-18
DOI
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AI Summary & Key Takeaways

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

The obtaining results show that both of these methods gave more accurate solutions compared with areliable semi-analytic method which was introduced by Dado and Sadder (2005).

📌 3 Key Takeaways

🎯
Objective & Hypothesis:There is no exactly analytical solution for the large deflection problem of prismatic cantilever beams under general loadingconditions.
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Key Findings & Data:In the case of considering a non-prismatic cantilever beam, the difficulty of the larger deflection problem is increased.In this study, the comparison of the Iterative Differential Quadrature Method (I-DQM) and the Combining Method (CM) wasperformed.
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Conclusion & Impact:The obtaining results show that both of these methods gave more accurate solutions compared with areliable semi-analytic method which was introduced by Dado and Sadder (2005).
🔬Design:Research Article
📍Scope:2005 Verileri
⚙️Variables:Domain Parameters

Abstract

There is no exactly analytical solution for the large deflection problem of prismatic cantilever beams under general loadingconditions. In the case of considering a non-prismatic cantilever beam, the difficulty of the larger deflection problem is increased.In this study, the comparison of the Iterative Differential Quadrature Method (I-DQM) and the Combining Method (CM) wasperformed. Numerical solution of the large deflection problem was separately performed with both the I-DQM and the CM forprismatic cantilever beams. The obtaining results show that both of these methods gave more accurate solutions compared with areliable semi-analytic method which was introduced by Dado and Sadder (2005). Besides, it was demonstrated that the I-DQMprovided a more wide-range solution than the CM.

Özet

Prizmatik ve prizmatik olmayan ankastre kirişlerin genel yükleme koşullarındaki büyük sehim problemi için tam anlamıyla analitik çözüm bulunmamaktadır. Prizmatik olmayan bir ankastre kirişin ele alındığı durumlarda ise büyük sehim probleminin zorluğu daha da artmaktadır. Bu çalışmada, İteratif Diferansiyel Quadrature Metodunun (I-DQM) ve Birleşim Metodunun (BM) karşılaştırılması yapılmıştır. İki yöntemle ayrı ayrı prizmatik ankastre kirişlerde büyük sehim probleminin sayısal çözümü gerçekleştirilmiştir. Dado ve Sadder (2005) tarafından geşitirlen yarı-analitik yöntem ile karşılaştırıldığında elde edilen sonuçlar her iki yöntemin de ele alınan problemin çözümünde oldukça etkili olduğunu göstermiştir. Bununla birlikte I-DQM’in BM’ye daha hassas ve geniş aralıklı bir çözüm sağladığı ortaya koyulmuştur.

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Cite This Article

BAYRAKÇEKEN, H., GİRGİN, Z., AYSAL, F. E. (2022). Large deflection analysis of prismatic cantilever beam comparatively by using combing method and iterative DQM. Politeknik Dergisi, Cilt: 23 - Sayı: 1, 111–120. https://ajindex.com/articles/588428

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References (1)

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