SavedAdd your journal

Journals / Gazi Üniversitesi Mühendislik Mimarlık Fakültesi Dergisi / 2006 / Cilt: 21 - Sayı: 2

DERIVATIONS OF BUCKLING EQUATIONS FOR THE MULTILAYERED FIBER COMPOSITE TUBULAR CYLINDERS UNDER TORSION AXIAL COMPRESSIVE LOAD AND EXTERNAL PRESSURE

FİBER KOMPOZİT ÇOK KATLI TÜPSEL SİLİNDİRLERİN BURULMA EKSENEL BASKI YÜKÜ VE DIŞ BASINÇ YÜKLEMELERİ ALTINDA BURKULMA DENKLEMLERİNİN ÇIKARILIŞLARI

Ezgi GÜNAY
Cihan SİVRİ
Pages
327–339
Publication Date
2013-03-01
DOI
—
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
✨

AI Summary & Key Takeaways

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

Equations appeared to be seen in the compressed matrix form of an eigenvalue problem.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this study, equilibrium equations of multi-layered fiber composite cylinders under combined torsion, axial force and external pressure were examined for buckling analysis.
📊
Key Findings & Data:Equations of equilibrium were obtained for both Classical and First Order Shear Deformation Theories in the two groups of derivations as matrix equation.
💡
Conclusion & Impact:Equations appeared to be seen in the compressed matrix form of an eigenvalue problem.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Burkulma · ortotropik · fiber kompozit

Abstract

In this study, equilibrium equations of multi-layered fiber composite cylinders under combined torsion, axial force and external pressure were examined for buckling analysis. Equations of equilibrium were obtained for both Classical and First Order Shear Deformation Theories in the two groups of derivations as matrix equation. In each of these equations, initial stress loading was included. All of these expressions are the equilibrium equations of fiber composite cylinder in which the three different type of loadings are acting simultaneously. In order to obtain the solutions corresponding to the previously described two main theories, displacement based equilibrium equations have been used by defining them with the related approximated series expansions. Equations appeared to be seen in the compressed matrix form of an eigenvalue problem.

Özet

Bu çalışmada, çok katlı fiber kompozit silindirlerin denge denklemleri aynı anda etkiyen burulma, eksenel yük ve dış basınç yüklemeleri altında burkulma analizi için incelenmiştir. Denge denklemleri, Klasik ve Birinci Mertebeden Kayma Deformasyon Teorilerine göre olmak üzere her ikisi içinde, iki grup çıkarımlarda matris formunda elde edilmişlerdir. Bu denklemlerin her birinde, başlangıç gerilme yüklemelerinin etkisi dikkate alınmıştır. Bütün bu ifadeler, üç değişik yüklemenin aynı anda etkidiği fiber kompozit silindirin dengedenklemleridir. Daha önce tanımlanmış olan iki ana teoriye göre çözümleme yapabilmek için, yerdeğiştirmeler cinsinden elde edilen denge denklemleri ilgili yaklaşık seri açılımları ile birlikte kullanılarak tanımlanmışlardır. Elde edilen ifadeler, özdeğer probleminin sıkıştırılmış matris formunu veren şekliyle görülmüşlerdir.

🔖

Cite This Article

GÜNAY, E., SİVRİ, C. (2013). DERIVATIONS OF BUCKLING EQUATIONS FOR THE MULTILAYERED FIBER COMPOSITE TUBULAR CYLINDERS UNDER TORSION AXIAL COMPRESSIVE LOAD AND EXTERNAL PRESSURE. Gazi Üniversitesi Mühendislik Mimarlık Fakültesi Dergisi, Cilt: 21 - Sayı: 2, 327–339. https://ajindex.com/articles/21135

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (13)

  1. Etitum, P. ve Dong, S.B., “A Comparative Study of Stability of Laminated Anisotropic Cylinders under Axial Compression and Torsion”, Int. J. Solids Structures, Cilt 32, No (8/9), 1231-1246, - Dong, S.B. ve Etitum, P., “Three Dimensional Stability Analysis of Laminated Anisotropic Circular Cylinders”, Int. J. Solids Structures, Cilt 32, No (8/9), 1211-1230, 1995.
  2. Dong, S.B. ve Chun, C.K., “Shear Constitutive Relations for Laminated Anisotropic Shells and Plates. Part I-Methodology”, J. Appl. Mech. Cilt, No 2, 372-379,1992.
  3. Dong, S.B. ve Etitum, P., “Three Dimensional Stability Analysis of Laminated Anisotropic Cylinders”, Int. J. Solids Structurals, Cilt 31,, 1994.
  4. Dong, S.B., Pister, K.S. ve Taylor, R.L., “On the Theory of Laminated Anisotropic Shells and Plates”, J. Aeorospace Sci., Cilt 29, No 89, 969-, 1962. Etitum,P., “Stability Analysis of Laminated Composite Cylinders”, Ph.D. Dissertation, Department of Civil and Environmental Engineering, University of California, Los Angeles, CA., 1993.
  5. Dong, S.B. ve Wolf, J.A., “Stability Analysis of Structures by a Reduced System of Generalized Coordinates”, Int. J. Solids Structures, Cilt 6, -1388, 1970.
  6. Dong, S.B.,Wolf, J.A ve Peterson, F.E., “On a Direct Iterative Eigensolution Technique”, Int. J. Numer. Meth. Engng, Cilt 4, 155-162, 1972.
  7. Tennyson, R.C., “Buckling of Laminated Composite Cylinders: A Review”, Composites, 17-24, 1975.
  8. Lou, K.A. ve Yaniv, G., “Buckling of Circular Cylindrical Composite Shells under Axial Compression and Bending Loads”, Journal of Composite Materials, Cilt 25, 162-187, 1991.
  9. Rezaeepazhand, J. ve Simitses, G.J., “Structural Similitude for Vibration Response of Laminated Cylindrical Shells with Double Curvature”, Composites: Part B, 28, 195-200, 1997.
  10. Lee, C.S., Hwang, W., Park, H.C. ve Han, K.S., “Failure of Carbon/Epoxy Composite Tubes under Combined Axial and Torsional Loading- 1. Experimental Results and Prediction of Biaxial Strength by the Use of Neutral Networks”, Composite Science and Technology, Cilt 59, 1779-1788, 1999.
  11. Lee, C.S., Hwang, W., Park, H.C. ve Han, K.S., “Failure of Carbon/Epoxy Composite Tubes under Combined Axial and Torsional Loading- Fracture Morphology and Failure Mechanism”, Composite Science and Technology, Cilt 59, -1804, 1999.
  12. Chun, C.K. ve Dong, S.B., “Finite Element Analysis of Shear Deformation in Laminated Anisotropic Shells of Revolution”, Journal of Sound and Vibration, Cilt 218, No 1, 164-176, 1998.
  13. Kim, K. ve Voyiadjis, G.Z., “Buckling Stre