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Dergiler / Challenge Journal of Structural Mechanics / 2020 / Cilt: 6 - Sayı: 2

Use of trigonometric series functions in free vibration analysis of laminated composite beams

Muhittin TURAN
VOLKAN KAHYA
Sayfa
61–67
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

The results of the study are quite compatible with the literature.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this study, free vibration analysis of layered composite beams is performed by using an analytical method based on trigonometric series.
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Temel Bulgular & Veri:It was seen that the slenderness, E11/E22 and fiber angle have a significant effect on natural frequency.
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Sonuç & Katkı:The results of the study are quite compatible with the literature.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Özet

In this study, free vibration analysis of layered composite beams is performed by using an analytical method based on trigonometric series. Based on the first-order shear deformation beam theory, the governing equations are derived from the Lagrange’s equations. Appropriate trigonometric series functions are selected to satisfy the end conditions of the beam. Navier-type solution is used to obtain natural frequencies. Natural frequencies are calculated for different end conditions and lamina stacking. It was seen that the slenderness, E11/E22 and fiber angle have a significant effect on natural frequency. The results of the study are quite compatible with the literature.

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Bu Makaleye Atıf Yap

TURAN, M., KAHYA, V. (2020). Use of trigonometric series functions in free vibration analysis of laminated composite beams. Challenge Journal of Structural Mechanics, Cilt: 6 - Sayı: 2, 61–67. https://ajindex.com/articles/142768

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Kaynakça (14)

  1. Aydogdu M (2005). Vibration analysis of cross-ply laminated beams with general boundary conditions by Ritz method. International Journal of Mechanical Sciences, 47, 1740–1755.
  2. Banerjee JR (1998). Free vibration of axially loaded composite Timoshenko beams using the dynamic stiffness matrix method. Computers & Structures, 39, 197-208.
  3. Chakraborty A, Mahapatra RD, Gopalakrishan S (2002). Finite element analysis of free vibration and wave propagation in asymmetric composite beams with structural discontinuities. Composite Structures, 55, 23-36.
  4. Goyal VK, Kapania RK (2007). A shear-deformable beam element for the analysis of laminated composites. Finite Elements in Analysis and Design, 43, 463-477.
  5. Jafari-Talookolaei RA, Abedi M, Kargarnovin MH, Ahmadian MT (2012). An analytical approach for the free vibration analysis of generally laminated composite beams with shear effect and rotary inertia. International Journal of Mechanical Sciences, 65, 97–104.
  6. Kahya V (2012). Dynamic analysis of laminated composite beams under moving loads using finite element method. Nuclear Engineering and Design, 243, 41-48.
  7. Kahya V, Turan M (2018). Vibration and buckling of laminated beams by a multi-layer finite element model. Steel and Composite Structures, 28, 415-426.
  8. Kahya V, Sebahat K, Okur FY, Altunışık AC, Aslan M (2019). Free vibrations of laminated composite beams with multiple edge cracks: Numerical model and experimental validation. International Journal of Mechanical Sciences, 159, 30-42.
  9. Kant T, Marur SR, Rao GS (1998). Analytical solution to the dynamic analysis of laminated beams using higher order refined theory. Composite Structures, 40, 1–9.
  10. Karama M, Abou Harb B, Mistou S, Caperaa S (1998). Bending, buckling and free vibration of laminated composite with a transverse shear stress continuity model. Composites Part B: Engineering, 29(3), 223-234.
  11. Li J, Huo Q, Li X, Kong X, Wu W (2014). Vibration analyses of laminated composite beams using refined higher-order shear deformation theory. International Journal of Mechanics and Materials in Design, 10, 43-52.
  12. Mantari JL, Canales FG (2016). Free vibration and buckling of laminated beams via hybrid Ritz solution for various penalized boundary conditions. Composite Structures, 152, 306–315.
  13. Nguyen TK, Nguyen ND, Vo TP, Thai HT (2017). Trigonometric-series solution for analysis of laminated composite beams. Composite Structures, 160, 142-151.
  14. Reddy JN (1997). Mechanics of Laminated Composite Plates: Theory and Analysis. CR