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Bending Analysis of Two Directional Functionally Graded Beams Using A Four-Unknown Shear and Normal Deformation Theory

Cilt: 21 Sayı: 4 1 Aralık 2018
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Bending Analysis of Two Directional Functionally Graded Beams Using A Four-Unknown Shear and Normal Deformation Theory

Öz

The bending behaviour of two-directional functionally graded beams (FGBs) subjected to various sets of boundary conditions is investigated by using a shear and normal deformation theory and the Symmetric Smoothed Particle Hydrodynamics (SSPH) method. A simply supported conventional FGB problem is studied to validate the developed code. The comparison studies are performed along with the analytical solutions and the results from previous studies. The numerical calculations in terms of maximum dimensionless transverse deflections, dimensionless axial and transverse shear stresses are performed for various gradation exponents, aspect ratios (L/h) and sets of boundary conditions. The effects of the gradation exponents on the accuracy and the robustness of the SSPH method are also investigated for the two directional functionally graded beams which are having clamped-free boundary condition.. 

Anahtar Kelimeler

Kaynakça

  1. [1] Kadoli R., Akhtar K., Ganesan N., “Static analysis of functionally graded beams using higher order shear deformation theory”, Appl Math Model, 32:2509-2525, (2008).
  2. [2] Li X.F., “A unified approach for analyzing static and dynamic behaviors of functionally graded Timoshenko and Euler–Bernoulli beams”, Journal of Sound and Vibration, 318:1210-1229, (2008).
  3. [3] Menaa R., Tounsi A., Mouaici F., Mechab I., Zidi M., Bedia E.A.A., “Analytical solutions for static shear correction factor of functionally graded rectangular beams”, Mechanics of Advanced Materials and Structures, 19:641-652, (2012).
  4. [4] Li S.R., Cao D.F., Wan Z.Q., “Bending solutions of FGM Timoshenko beams from those of the homogenous Euler–Bernoulli beams”, Appl Math Model, 37:7077-7085, (2013).
  5. [5] Jing L.L., Ming P.J., Zhang W.P., Fu L.R., Cao Y.P., “Static and free vibration analysis of functionally graded beams by combination Timoshenko theory and finite volume method”, Compos Struct, 138:192-213, (2016).
  6. [6] Aydogdu M., Taskin V., “Free vibration analysis of functionally graded beams with simply supported edges”, Materials&Design, 28:1651–1656, (2007).
  7. [7] Simsek M., “Fundamental frequency analysis of functionally graded beams by using different higher-order beam theories”, Nuc Eng and Des, 240:697–705, (2010).
  8. [8] Simsek M., “Vibration analysis of a functionally graded beam under a moving mass by using different beam theories”, Compos Struct, 92:904–17, (2010). [9] Pradhan K.K., Chakraverty S., “Free vibration of Euler and Timoshenko functionally graded beams by Rayleigh-Ritz method”, Compos Part B, 51:175–184, (2013).

Ayrıntılar

Birincil Dil

İngilizce

Konular

Mühendislik

Bölüm

Araştırma Makalesi

Yayımlanma Tarihi

1 Aralık 2018

Gönderilme Tarihi

12 Temmuz 2017

Kabul Tarihi

-

Yayımlandığı Sayı

Yıl 2018 Cilt: 21 Sayı: 4

Kaynak Göster

APA
Karamanlı, A. (2018). Bending Analysis of Two Directional Functionally Graded Beams Using A Four-Unknown Shear and Normal Deformation Theory. Politeknik Dergisi, 21(4), 861-874. https://doi.org/10.2339/politeknik.389616
AMA
1.Karamanlı A. Bending Analysis of Two Directional Functionally Graded Beams Using A Four-Unknown Shear and Normal Deformation Theory. Politeknik Dergisi. 2018;21(4):861-874. doi:10.2339/politeknik.389616
Chicago
Karamanlı, Armağan. 2018. “Bending Analysis of Two Directional Functionally Graded Beams Using A Four-Unknown Shear and Normal Deformation Theory”. Politeknik Dergisi 21 (4): 861-74. https://doi.org/10.2339/politeknik.389616.
EndNote
Karamanlı A (01 Aralık 2018) Bending Analysis of Two Directional Functionally Graded Beams Using A Four-Unknown Shear and Normal Deformation Theory. Politeknik Dergisi 21 4 861–874.
IEEE
[1]A. Karamanlı, “Bending Analysis of Two Directional Functionally Graded Beams Using A Four-Unknown Shear and Normal Deformation Theory”, Politeknik Dergisi, c. 21, sy 4, ss. 861–874, Ara. 2018, doi: 10.2339/politeknik.389616.
ISNAD
Karamanlı, Armağan. “Bending Analysis of Two Directional Functionally Graded Beams Using A Four-Unknown Shear and Normal Deformation Theory”. Politeknik Dergisi 21/4 (01 Aralık 2018): 861-874. https://doi.org/10.2339/politeknik.389616.
JAMA
1.Karamanlı A. Bending Analysis of Two Directional Functionally Graded Beams Using A Four-Unknown Shear and Normal Deformation Theory. Politeknik Dergisi. 2018;21:861–874.
MLA
Karamanlı, Armağan. “Bending Analysis of Two Directional Functionally Graded Beams Using A Four-Unknown Shear and Normal Deformation Theory”. Politeknik Dergisi, c. 21, sy 4, Aralık 2018, ss. 861-74, doi:10.2339/politeknik.389616.
Vancouver
1.Armağan Karamanlı. Bending Analysis of Two Directional Functionally Graded Beams Using A Four-Unknown Shear and Normal Deformation Theory. Politeknik Dergisi. 01 Aralık 2018;21(4):861-74. doi:10.2339/politeknik.389616

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