Structural Engineering and Mechanics

  • 제55권4호
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  • Pages.703-717
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  • 2015
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  • 1225-4568(pISSN)
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  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

Analyse of the behavior of functionally graded beams based on neutral surface position

  • 투고 : 2015.02.16
  • 심사 : 2015.05.17
  • 발행 : 2015.08.25
⟨ 이전 논문 다음 논문 ⟩

초록

In this paper, a simple n-order refined theory based on neutral surface position is developed for bending and frees vibration analyses of functionally graded beams. The present theory is variationally consistent, uses the n-order polynomial term to represent the displacement field, does not require shear correction factor, and gives rise to transverse shear stress variation such that the transverse shear stresses vary parabolically across the thickness satisfying shear stress free surface conditions. The governing equations are derived by employing the Hamilton's principle and the physical neutral surface concept. The accuracy of the present solutions is verified by comparing the obtained results with available published ones.

키워드

참고문헌

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피인용 문헌

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  3. Thermal Effects on the Vibration of Functionally Graded Deep Beams with Porosity vol.09, pp.05, 2017, https://doi.org/10.1142/S1758825117500764
  4. Forced vibration analysis of functionally graded porous deep beams vol.186, 2018, https://doi.org/10.1016/j.compstruct.2017.12.013
  5. A simple hyperbolic shear deformation theory for vibration analysis of thick functionally graded rectangular plates resting on elastic foundations vol.11, pp.2, 2016, https://doi.org/10.12989/gae.2016.11.2.289
  6. Thermal post-buckling behavior of imperfect temperature-dependent sandwich FGM plates resting on Pasternak elastic foundation vol.22, pp.1, 2016, https://doi.org/10.12989/scs.2016.22.1.091
  7. Modeling and analysis of functionally graded sandwich beams: A review pp.1537-6532, 2018, https://doi.org/10.1080/15376494.2018.1447178
  8. A novel quasi-3D hyperbolic shear deformation theory for functionally graded thick rectangular plates on elastic foundation vol.12, pp.1, 2015, https://doi.org/10.12989/gae.2017.12.1.009