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Journals / Gazi Üniversitesi Mühendislik Mimarlık Fakültesi Dergisi / 2026 / 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 Sivri
Pages
327–339
Publication Date
2013-03-01
DOI
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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.
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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.
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Conclusion & Impact:Equations appeared to be seen in the compressed matrix form of an eigenvalue problem.
🔬Design:Araştırma Makalesi
📍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 denge denklemleridir. 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.

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Cite This Article

Günay, E., Sivri, 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/1078986

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References (107)

  1. Etitum, P. ve Dong, S.B., “A Comparative Study
  2. of Stability of Laminated Anisotropic Cylinders
  3. under Axial Compression and Torsion”, Int. J.
  4. Solids Structures, Cilt 32, No (8/9), 1231-1246,
  5. Dong, S.B. ve Etitum, P., “Three Dimensional
  6. Stability Analysis of Laminated Anisotropic
  7. Circular Cylinders”, Int. J. Solids Structures,
  8. Cilt 32, No (8/9), 1211-1230, 1995.
  9. Dong, S.B. ve Chun, C.K., “Shear Constitutive
  10. Relations for Laminated Anisotropic Shells and
  11. Plates. Part I-Methodology”, J. Appl. Mech. Cilt, No 2, 372-379,1992.
  12. Cylinders”, Int. J. Solids Structurals, Cilt 31,, 1994.
  13. Dong, S.B., Pister, K.S. ve Taylor, R.L., “On the
  14. Theory of Laminated Anisotropic Shells and
  15. Plates”, J. Aeorospace Sci., Cilt 29, No 89, 969-, 1962.
  16. Etitum,P., “Stability Analysis of Laminated
  17. Composite Cylinders”, Ph.D. Dissertation,
  18. Department of Civil and Environmental
  19. Engineering, University of California, Los
  20. Angeles, CA., 1993.
  21. Dong, S.B. ve Wolf, J.A., “Stability Analysis of
  22. Structures by a Reduced System of Generalized
  23. Coordinates”, Int. J. Solids Structures, Cilt 6,
  24. 1388, 1970.
  25. Dong, S.B.,Wolf, J.A ve Peterson, F.E., “On a
  26. Direct Iterative Eigensolution Technique”, Int. J.
  27. Numer. Meth. Engng, Cilt 4, 155-162, 1972.
  28. Tennyson, R.C., “Buckling of Laminated Composite
  29. Cylinders: A Review”, Composites, 17-24, 1975.
  30. Lou, K.A. ve Yaniv, G., “Buckling of Circular
  31. Cylindrical Composite Shells under Axial
  32. Compression and Bending Loads”, Journal of
  33. Composite Materials, Cilt 25, 162-187, 1991.
  34. Rezaeepazhand, J. ve Simitses, G.J., “Structural
  35. Similitude for Vibration Response of Laminated
  36. Cylindrical Shells with Double Curvature”,
  37. Composites: Part B, 28, 195-200, 1997.
  38. Lee, C.S., Hwang, W., Park, H.C. ve Han, K.S.,
  39. “Failure of Carbon/Epoxy Composite Tubes under
  40. Combined Axial and Torsional Loading- 1. Experimental
  41. Results and Prediction of Biaxial Strength by
  42. the Use of Neutral Networks”, Composite Science
  43. and Technology, Cilt 59, 1779-1788, 1999.
  44. “Failure of Carbon/Epoxy Composite Tubes
  45. under Combined Axial and Torsional Loading-
  46. Fracture Morphology and Failure Mechanism”,
  47. Composite Science and Technology, Cilt 59,
  48. 1804, 1999.
  49. Chun, C.K. ve Dong, S.B., “Finite Element Analysis
  50. of Shear Deformation in Laminated Anisotropic Shells of Revolution”, Journal of Sound and
  51. Vibration, Cilt 218, No 1, 164-176, 1998.
  52. Kim, K. ve Voyiadjis, G.Z., “Buckling Strength
  53. Prediction of CFRP Cylindrical Panels Using
  54. Finite Element Method”, Composites: Part A,
  55. Cilt 30, 1093-1104, 1999.
  56. Frostig, Y. ve Simitses, G.J., “Similitude of
  57. Sandwich Panels with a Soft Core in Buckling”,
  58. Composites: Part B, Cilt 35, 599-608, 2004.
  59. Han, J.H., Kardomateas, G.A. ve Simitses, G.J.,
  60. “Elasticity Shell Theory and Finite Element
  61. Results for the Buckling of Long Sandwich
  62. Cylindrical Shells under External Pressure”,
  63. Composites: Part B, Cilt 35, 591-598, 2004.
  64. Paimushin, V.N., Ivanov, V.A., Lukankin, S.A.,
  65. Bushkov, A.A. ve Vyalkov, A.E., “Shear
  66. Buckling Modes of Cylindrical Sandwich Shells
  67. under External Pressure Tension-Compression of
  68. Bearing Layers with Unequal Forces and in
  69. Homogeneous Across the Thickness Temperature”,
  70. Mechanics of Composite Materials, Cilt 41, No, 23-32, 2005.
  71. Combescure, A. ve Gusic, G., “Nonlinear
  72. Buckling of Cylinders under External Pressure
  73. with Nonaxisymmetric Thickness Imperfections
  74. Using the COMI Axisymmetric Shell Element”,
  75. Int. J. Solids and Structures, Cilt 38, 6207-, 2001.
  76. Piening, H.R.M., Farshad, M., Geier, B. ve
  77. Zimmermann, R., “Buckling Loads of CFRP
  78. Composite under Combined Axial and Torsion
  79. Loading-Experiments and Computations”, Composite
  80. Structures, Cilt 23, 427-435, 2001.
  81. Spagnoli, A., Elghazouli, A.Y., ve
  82. Chryssanthopoulos, M.K., ”Numerical simulation
  83. of glass-reinforced plastic cylinders under axial
  84. compression”, Marine Structures, Cilt 14, 353-, 2001. Chryssanthopoulos, M.K., Elghazouli,
  85. A.Y. ve Esong, I.E., Validation of FE Models for
  86. Buckling Analysis of Woven GFRP Shells,
  87. Composite Structures, Cilt 49, 355-367, 2000.
  88. Bisagni, C.,”Numerical Analysis and Experimental
  89. Correlation of Composite Shell Buckling and Post-
  90. Buckling”, Composites: Part B, Cilt 31, 655-667,
  91. Sivri,C., Anizotrop Kompozit Silindirlerin
  92. Stabilite Analizinde Denge Denklemlerinin
  93. Açılımlarının İncelenmesi, Yüksek Lisans Tezi,
  94. Gazi Üniversitesi, Fen Bilimleri Enstitüsü,
  95. Ankara, Şubat, 2005.
  96. Reddy, J. N., Mechanics of Laminated
  97. Composite Plates-Theory and Analysis, CRC
  98. Press, USA, 1996.
  99. Flügge, W., Stresses in Shells, Springer-Verlag,
  100. Berlin, 1990.
  101. Calcote,L. R., The Analysis of Laminated
  102. Composite Structures, Van Nostran Reinhold
  103. Company, New York, 1969.
  104. Ugural, A.C., Stresses in Plates and Shells,
  105. McGraw-Hill, Singapore, 1999.
  106. Composites: Part B, Cilt 35, 599-608, 2004.
  107. Composites: Part B, Cilt 35, 591-598, 2004.