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Journals / Anadolu Üniversitesi Bilim ve Teknoloji Dergisi :A-Uygulamalı Bilimler ve Mühendislik / 2018 / Cilt: 19 - Sayı: 1

BENDING ANALYSIS OF COMPOSITE AND SANDWICH BEAMS USING RITZ METHOD

Armağan KARAMANLI
Pages
10–23
Publication Date
2022-10-11
DOI
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AI Summary & Key Takeaways

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

The effects of fiber angle, lay-up and aspect ratio on displacements and stresses are studied.

📌 3 Key Takeaways

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Objective & Hypothesis:In the present paper, the bending behaviour of laminated composite and sandwich beams subjected to various sets ofboundary conditions which are simply supported (SS), clamped-simply supported (CS), clamped-clamped (CC) and clampedfree(CF) are investigated by using the Timoshenko beam theory and the Ritz method.
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Key Findings & Data:In order to solve the problem, theshape functions for axial, transverse deflections and the rotation of the cross-section are presented in polynomial forms.
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Conclusion & Impact:The effects of fiber angle, lay-up and aspect ratio on displacements and stresses are studied.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In the present paper, the bending behaviour of laminated composite and sandwich beams subjected to various sets ofboundary conditions which are simply supported (SS), clamped-simply supported (CS), clamped-clamped (CC) and clampedfree(CF) are investigated by using the Timoshenko beam theory and the Ritz method. In order to solve the problem, theshape functions for axial, transverse deflections and the rotation of the cross-section are presented in polynomial forms. Thevalidation and convergence studies are performed by solving symmetric and anti-symmetric cross-ply composite beamproblems with various boundary conditions and aspect ratios by adding auxiliary functions to the shape functions. The resultsin terms of mid-span deflections, axial and shear stresses are compared with those from previous studies to validate theaccuracy of the present study. The effects of fiber angle, lay-up and aspect ratio on displacements and stresses are studied.

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Cite This Article

KARAMANLI, A. (2022). BENDING ANALYSIS OF COMPOSITE AND SANDWICH BEAMS USING RITZ METHOD. Anadolu Üniversitesi Bilim ve Teknoloji Dergisi :A-Uygulamalı Bilimler ve Mühendislik, Cilt: 19 - Sayı: 1, 10–23. https://ajindex.com/articles/438241

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References (8)

  1. Sayyad AS, Ghugal, YM. Bending, buckling and free vibration of laminated composite and sandwich beams: A critical review of literature. Compos Struct 2017; (171):486:504. Mantari J, Canales F. Free vibration and buckling of laminated beams via hybrid Ritz solution for various penalized boundary conditions. Compos Struct 2016; (152):306–315. Aydogdu M. Free vibration analysis of angle-ply laminated beams with general boundary conditions. J Reinf Plast Compos 2006; 25(15):1571–83. Aydogdu M. Thermal buckling analysis of cross-ply laminated beams with general boundary conditions. Compos Sci Technol 2007; 67 (6):1096–1104. Aydogdu M. Buckling analysis of cross-ply laminated beams with general boundary conditions by Ritz method. Compos Sci Technol 2006; 66 (10):1248–55. Aydogdu M. Vibration analysis of cross-ply laminated beams with general boundary conditions by Ritz method. Int J Mech Sci 2005; 47(11): 1740–55.
  2. Kant T, Marur S, Rao G. Analytical solution to the dynamic analysis of laminated beams using higher order refined theory. Compos Struct 1997; 40 (1):1–9.
  3. Mantari J, Canales F. A unified quasi-3D HSDT for the bending analysis of laminated beams. Aerosp Sci Technol 2016; 54:267–75. Matsunaga H. Vibration and buckling of multilayered composite beams according to higher order deformation theories. J Sound Vib 2001; 246 (1):47–62.
  4. Karamanli, A. Flexure Analysis of Laminated Composite and Sandwich Beams Using Timoshenko Beam Theory. (Submitted for publication). Liew KM, Lim HK, Tan MJ, He XQ. Analysis of laminated composite beams and plates with piezoelectric patches using the element-free Galerkin method. Computational Mechanics 2002; 29:486-497.
  5. Roque CMC, Fidalgo DS, Ferreira AJM, Reddy JN. A study of a microstructure dependent composite laminated Timoshenko beam using a modified couple stress theory and a meshless method. Compos Struct 2013; 96:532-537. Ferreira AJM. Thick composite beam analysis using a global meshless approximation based on radial basis functions. Mech Adv Mater Struct 2003; 10:271–84.
  6. Ferreira AJM, Roque CMC, Martins PALS. Radial basis functions and higher order shear deformation theories in the analysis of laminated composite beams and plates. Compos Struct 2004; 66:287-293.
  7. Li J, Wu Z, Kong X, Li X, Wu W. Comparison of various shear deformation theories for free vibration of laminated composite beams with general lay-ups. Compos Struct 2014;108:767–78.
  8. Mantari J, Canales F. Finite element formulation of laminated beams with capabili