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Journals / Eskişehir Osmangazi Üniversitesi Mühendislik ve Mimarlık Fakültesi Dergisi / 2003 / Cilt: 16 - Sayı: 1

Linear Static And Vibration Analysis Of Circular And Annular Plates By The Harmonic Differential Quadrature (HDQ) Method

Ömer CİVALEK
Hikmet H. ÇATAL
Pages
43–71
Publication Date
2003-06-30
DOI
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AI Summary & Key Takeaways

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

The method presented gives efficient accurate results for the deflection and bending analysis of circular plates.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:Numerical solution to static and free vibration analysis of thin circular and annular plates having various supports and load conditions are obtained by the method of Harmonic Differential Quadrature (HDQ).
📊
Key Findings & Data:Bending moments, normal stress, and deflections of circular plate are found for uniformly distributed, central concentrated, and non-uniformly loads.
💡
Conclusion & Impact:The method presented gives efficient accurate results for the deflection and bending analysis of circular plates.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Harmonic differential quadrature · circular plates · annular plates

Abstract

Numerical solution to static and free vibration analysis of thin circular and annular plates having various supports and load conditions are obtained by the method of Harmonic Differential Quadrature (HDQ). Bending moments, normal stress, and deflections of circular plate are found for uniformly distributed, central concentrated, and non-uniformly loads. Both clamped and simply supported edges are considered as boundary conditions. Results are obtained by using various number of grid points. The obtained results are compared with existing solutions available from other numerical methods and analytical results. The method presented gives efficient accurate results for the deflection and bending analysis of circular plates.

Özet

Numerical solution to static and free vibration analysis of thin circular and annular plates having various supports and load conditions are obtained by the method of Harmonic Differential Quadrature (HDQ). Bending moments, normal stress, and deflections of circular plate are found for uniformly distributed, central concentrated, and non-uniformly loads. Both clamped and simply supported edges are considered as boundary conditions. Results are obtained by using various number of grid points. The obtained results are compared with existing solutions available from other numerical methods and analytical results. The method presented gives efficient accurate results for the deflection and bending analysis of circular plates.

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Cite This Article

CİVALEK, Ö., ÇATAL, H. H. (2003). Linear Static And Vibration Analysis Of Circular And Annular Plates By The Harmonic Differential Quadrature (HDQ) Method. Eskişehir Osmangazi Üniversitesi Mühendislik ve Mimarlık Fakültesi Dergisi, Cilt: 16 - Sayı: 1, 43–71. https://ajindex.com/articles/755210

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