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Journals / Mühendislik Bilimleri Dergisi / 2005 / Cilt: 11 - Sayı: 2

Application of the Differential Quadrature Element Method (DQEM) to vibration analysis of beam elements

Diferansiyel Quadrature Eleman Metodu (DQEK)' nun kiriş elemanların titreşim analizine uygulanması

ZEKERİYA GİRGİN
ERSİN DEMİR
Cem KOL
Pages
193–197
DOI
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AI Summary & Key Takeaways

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

The method considered in details and with the given numerical examples, it is shown that the result are in good agreement with the previous studies.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The Generalized Differential Quadrature Method (GDQM) is an alternative method direct solution of differential equations on the field of engineering and science.
📊
Key Findings & Data:In this study, DQEM which is a new version of GDQM, is presented and applied to vibration analysis of beam elements.
💡
Conclusion & Impact:The method considered in details and with the given numerical examples, it is shown that the result are in good agreement with the previous studies.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

The Generalized Differential Quadrature Method (GDQM) is an alternative method direct solution of differential equations on the field of engineering and science. In this study, DQEM which is a new version of GDQM, is presented and applied to vibration analysis of beam elements. In this method, a physical system can be divided into more than one element and no need mass matrix to calculate the natural frequencies of beams. The method has all of the advantages of GDQM and is an effective method with the easy programmability and short computational time. The method considered in details and with the given numerical examples, it is shown that the result are in good agreement with the previous studies.

Özet

Genelleştirilmiş Diferansiyel Quadrature Metodu (GDQM); fen ve mühendislik alanındaki diferansiyel denklemlerin direk çözümü için geliştirilmiş alternatif bir metottur. Bu çalışmada, GDQM'nin yeni bir versiyonu olan DQEM ile kiriş elemanların titreşim analizleri yapılmıştır. Bu metotta fiziksel sistem birden fazla parçaya bölünebilmektedir. DQEM ile titreşim analizi yapılırken ayrıca bir kütle matrisine ihtiyaç duyulmamaktadır. Metot daha önce geliştirilmiş olan GDQM'nin sağladığı tüm avantajları kullanmakla birlikte programlama kolaylığı ve hesaplama süresinin kısalığı ile etkinlik sağlamaktadır. Metot detaylı olarak ele alınmış, verilen sayısal örneklerle elde edilen sonuçların, önceki çalışmalarla uyumlu olduğu gösterilmiştir.

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Cite This Article

GİRGİN, Z., DEMİR, E., KOL, C. (2005). Application of the Differential Quadrature Element Method (DQEM) to vibration analysis of beam elements. Mühendislik Bilimleri Dergisi, Cilt: 11 - Sayı: 2, 193–197. https://ajindex.com/articles/291207

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References (2)

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