Journals / Mühendislik Bilimleri Dergisi / 2004 / Cilt: 10 - Sayı: 2

Static analysis of structural elements by using Differential Quadrature Element Method (DQEM)

Diferansiyel Quadrature Eleman Metodu (DQEM) ile yapı elemanlarının statik analizi

Pages
195–200
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 results are in good agreement with the pervious studies.

📌 3 Key Takeaways

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

Abstract

The Generalized Differential Quadrature Method (GDQM) is an alternative method to 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 static analysis of mechanical elements. In the previous studies, the physical system is considered as a single element. In this method, analyzed system is divided into elements as in the Finite Element Method. 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 results are in good agreement with the pervious studies.

Özet

Genelleştirilmiş Diferansiyel Quadrature Metodu (GDQM); fen ve mühendislik alanındaki diferansiyel denklemlerin direkt çözümü için geliştirilmiş alternatif bir metottur. Bu çalışmada ise, GDQM'nun yeni bir versiyonu olan DQEM tanıtılmış ve yapı elemanlarının statik analizine uygulanmıştır. Önceki çalışmalarda fiziksel sistem tek bir eleman olarak göz önüne alınıyordu. Bu metotla, incelenen sistem, sonlu elemanlar metodundaki gibi, elemanlara ayrılarak, sistemin incelenmesi sağlanmıştır. Metot daha önce geliştirilmiş olan ODQM' nün 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. (2004). Static analysis of structural elements by using Differential Quadrature Element Method (DQEM). Mühendislik Bilimleri Dergisi, Cilt: 10 - Sayı: 2, 195–200. https://ajindex.com/articles/289193

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References (8)

  1. Bert, C. W. 1988.
  2. Jang, S. K. and Striz, A.G., Two New Approximate Methods For Analyzing Free Vibration Of Structural Components, AIAA Journal Vol. 26, 612-618, No. 5. Chen, W. L. 1994. A New Approach For Structural Analysis: The Quadrature Element Method, Ph. D. Dissertation the University of Oklahoma, Norman, OK. Chen. W. L. Striz. A. G., Bert, C. W. 2000. High-Accuracy Plane Stress and Plate Elements in the Quadrature Elements Method, Int. J. of Solids and Struc. 37, 627-647.
  3. Du, H., Lim, M. K. and Lin, R.M. 1994. Application of Generalized Differential Quadrature Method to Structural Problems, Int. J. For Numer. Meth. In Eng.,'Vol. 37, 1881 - 1896. Jang, S. K. 1987. Application of Differential Quadrature to the Analysis of Structural Components, Ph. D. Dissertation, The University of Oklahoma, Norman, OK. Jang, S. K., Bert, C. W. and Striz, A. G. 1989. Application of Differential Quadrature to Static Analysis of Structural Components, Int.1. For Numer. Meth. In Eng. Vol. 28, 561 - 577. Striz, A. G., Chen. W. L. and Bert, C. W. 1994. Static Analysis of Structures by the Quadrature Element Method (QEM), Int. J. Solid Struc. Vol. 31, No. 20, pp. 2807-2818.
  4. Striz, A. G., Chen, W. L. and Bert, C. W. 1997. Free Vibration of Plates by the High Accuracy Quadrature Element Method, J. of Sound and Vib. 200 (5), 689 - 702. Thomson, W. T. 1993.
  5. Theory of Vibration With Application, Prentice Hall, ISBN 0-13-915323-3,
  6. New Jersey. Wang, X. W. and Gu, H. Z. 1997. Static Analysis of Frame Structures by the Differential Quadrature Elemant Method, Int. J. For Numer. Meth. In Eng. Vol. 40,759-772.
  7. William, A. N. 1979. Strength Of Material (Çev.: Sacit Sümer), McGraw-Hill Book Company. Güven Kitabevi Yayınları,
  8. Ankara (1979).