Structural Engineering and Mechanics

  • 제48권3호
  • /
  • Pages.351-365
  • /
  • 2013
  • /
  • 1225-4568(pISSN)
  • /
  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

Comparison of various refined nonlocal beam theories for bending, vibration and buckling analysis of nanobeams

  • Berrabah, H.M. (Laboratoire des Materiaux et Hydrologie, Universite de Sidi Bel Abbes, Faculte de Technologie, Departement de Genie Civil) ;
  • Tounsi, Abdelouahed (Laboratoire des Materiaux et Hydrologie, Universite de Sidi Bel Abbes, Faculte de Technologie, Departement de Genie Civil) ;
  • Semmah, Abdelwahed (Universite de Sidi Bel Abbes, Faculte des Sciences exactes, Departement de Physique) ;
  • Adda Bedia, E.A. (Laboratoire des Materiaux et Hydrologie, Universite de Sidi Bel Abbes, Faculte de Technologie, Departement de Genie Civil)
  • 투고 : 2012.11.18
  • 심사 : 2013.10.20
  • 발행 : 2013.11.10
⟨ 이전 논문 다음 논문 ⟩

초록

In this paper, unified nonlocal shear deformation theory is proposed to study bending, buckling and free vibration of nanobeams. This theory is based on the assumption that the in-plane and transverse displacements consist of bending and shear components in which the bending components do not contribute toward shear forces and, likewise, the shear components do not contribute toward bending moments. In addition, this present model is capable of capturing both small scale effect and transverse shear deformation effects of nanobeams, and does not require shear correction factors. The equations of motion are derived from Hamilton's principle. Analytical solutions for the deflection, buckling load, and natural frequency are presented for a simply supported nanobeam, and the obtained results are compared with those predicted by the nonlocal Timoshenko beam theory and Reddy beam theories.

키워드

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  76. Dynamic response of size-dependent porous functionally graded beams under thermal and moving load using a numerical approach vol.7, pp.2, 2013, https://doi.org/10.12989/smm.2020.7.2.069
  77. On Nonlinear Bending Study of a Piezo-Flexomagnetic Nanobeam Based on an Analytical-Numerical Solution vol.10, pp.9, 2013, https://doi.org/10.3390/nano10091762
  78. On scale-dependent stability analysis of functionally graded magneto-electro-thermo-elastic cylindrical nanoshells vol.75, pp.6, 2013, https://doi.org/10.12989/sem.2020.75.6.659
  79. Porosity effects on post-buckling behavior of geometrically imperfect metal foam doubly-curved shells with stiffeners vol.75, pp.6, 2013, https://doi.org/10.12989/sem.2020.75.6.701
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  81. Large amplitude free torsional vibration analysis of size-dependent circular nanobars using elliptic functions vol.77, pp.4, 2021, https://doi.org/10.12989/sem.2021.77.4.535
  82. Nonlocal free vibration analysis of porous FG nanobeams using hyperbolic shear deformation beam theory vol.10, pp.3, 2013, https://doi.org/10.12989/anr.2021.10.3.281
  83. Weighted Residual Approach for Bending Analysis of Nanobeam Using by Modified Couple Stress Theory vol.13, pp.2, 2013, https://doi.org/10.24107/ijeas.932580
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  85. Numerical forced vibration analysis of compositionally gradient porous cylindrical microshells under moving load and thermal environment vol.40, pp.6, 2021, https://doi.org/10.12989/scs.2021.40.6.893