Structural Engineering and Mechanics

  • 제49권6호
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  • Pages.727-743
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  • 2014
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  • 1225-4568(pISSN)
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  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
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DOI QR코드

DOI QR Code

Geometrically nonlinear analysis of planar beam and frame structures made of functionally graded material

  • Nguyen, Dinh-Kien (Department of Solid Mechanics, Institute of Mechanics, Vietnam Academy of Science and Technology) ;
  • Gan, Buntara S. (Department of Architecture, College of Engineering, Nihon University) ;
  • Trinh, Thanh-Huong (Department of Solid Mechanics, Institute of Mechanics, Vietnam Academy of Science and Technology)
  • 투고 : 2013.02.10
  • 심사 : 2014.02.01
  • 발행 : 2014.03.25
⟨ 이전 논문 다음 논문 ⟩

초록

Geometrically nonlinear analysis of planar beam and frame structures made of functionally graded material (FGM) by using the finite element method is presented. The material property of the structures is assumed to be graded in the thickness direction by a power law distribution. A nonlinear beam element based on Bernoulli beam theory, taking the shift of the neutral axis position into account, is formulated in the context of the co-rotational formulation. The nonlinear equilibrium equations are solved by using the incremental/iterative procedure in a combination with the arc-length control method. Numerical examples show that the formulated element is capable to give accurate results by using just several elements. The influence of the material inhomogeneity in the geometrically nonlinear behavior of the FGM beam and frame structures is examined and highlighted.

키워드

참고문헌

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피인용 문헌

  1. Post-buckling Behaviour of Axially FGM Planar Beams and Frames vol.171, 2017, https://doi.org/10.1016/j.proeng.2017.01.321
  2. Beam finite element for modal analysis of FGM structures vol.121, 2016, https://doi.org/10.1016/j.engstruct.2016.04.042
  3. A Corotational Formulation for Large Displacement Analysis of Functionally Graded Sandwich Beam and Frame Structures vol.2016, 2016, https://doi.org/10.1155/2016/5698351
  4. Dynamic response of non-uniform Timoshenko beams made of axially FGM subjected to multiple moving point loads vol.53, pp.5, 2015, https://doi.org/10.12989/sem.2015.53.5.981
  5. Post-buckling responses of elastoplastic FGM beams on nonlinear elastic foundation vol.58, pp.3, 2016, https://doi.org/10.12989/sem.2016.58.3.515
  6. Effects of Support Conditions to the Post-Buckling Behaviors of Axially Functionally Graded Material Rods vol.730, 2017, https://doi.org/10.4028/www.scientific.net/KEM.730.502
  7. Postbuckling Analysis of Functionally Graded Beams vol.473, pp.1757-899X, 2019, https://doi.org/10.1088/1757-899X/473/1/012028
  8. Post-buckling responses of functionally graded beams with porosities vol.24, pp.5, 2017, https://doi.org/10.12989/scs.2017.24.5.579
  9. Rotating effects on hygro-mechanical vibration analysis of FG beams based on Euler-Bernoulli beam theory vol.63, pp.4, 2014, https://doi.org/10.12989/sem.2017.63.4.471
  10. Nonlinear static analysis of functionally graded porous beams under thermal effect vol.6, pp.4, 2017, https://doi.org/10.12989/csm.2017.6.4.399
  11. Geometrically nonlinear analysis of functionally graded porous beams vol.27, pp.1, 2014, https://doi.org/10.12989/was.2018.27.1.059
  12. Nonlinear Static Bending and Free Vibration Analysis of Bidirectional Functionally Graded Material Plates vol.2020, pp.None, 2014, https://doi.org/10.1155/2020/8831366
  13. An efficient curved beam element for thermo-mechanical nonlinear analysis of functionally graded porous beams vol.28, pp.None, 2014, https://doi.org/10.1016/j.istruc.2020.08.038