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Journals / Teknik Dergi / 2017 / Cilt: 28 Sayı: 4

A Generalized Finite Difference Method for Plates and Rotational Shells, Using Betti’s Theorem

Betti Teoremi ile Plaklar ve Dönel Kabuklar için Genelleştirilmiş Sonlu Fark Çözümü

Nahit Kumbasar
Pages
8129–8142
Publication Date
2017-10-01
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AI Summary & Key Takeaways

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

In this paper a generalized finite difference method for thin elastic plates and rotational shells, obtained by using Betti’s reciprocal theorem, is presented.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:Meshless methods, which have been extensively studied in last decades, are essentially improved forms of the generalized finite difference method.
📊
Key Findings & Data:Meshless methods, which have been extensively studied in last decades, are essentially improved forms of the generalized finite difference method.
💡
Conclusion & Impact:In this paper a generalized finite difference method for thin elastic plates and rotational shells, obtained by using Betti’s reciprocal theorem, is presented.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Sonlu fark yöntemi · ağsız yöntemler · sayısal çözümleme

Abstract

Meshless methods, which have been extensively studied in last decades, are essentially improved forms of the generalized finite difference method. In this paper a generalized finite difference method for thin elastic plates and rotational shells, obtained by using Betti’s reciprocal theorem, is presented.

Özet

Son yıllarda üzerinde çok çalışılan ve düzgün bir ağ gerektirmeyen ağsız yöntemler, genelleştirilmiş sonlu fark yönteminin geliştirilmiş şekilleridir. Bu çalışmada ince elastik plaklar ve dönel kabuklara uygulanabilen, Betti teoremi kullanılarak elde edilmiş, genelleştirilmiş bir sonlu fark çözüm yöntemi sunulmaktadır.

🔖

Cite This Article

Kumbasar, N. (2017). A Generalized Finite Difference Method for Plates and Rotational Shells, Using Betti’s Theorem. Teknik Dergi, Cilt: 28 Sayı: 4, 8129–8142. https://doi.org/10.18400/tekderg.335585

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