Advances in nano research

  • 제6권3호
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  • Pages.257-278
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  • 2018
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  • 2287-237X(pISSN)
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  • 2287-2388(eISSN)
테크노프레스 (Techno-Press)
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DOI QR Code

Vibration of axially functionally graded nano rods and beams with a variable nonlocal parameter

  • Aydogdu, Metin (Department of Mechanical Engineering, Trakya University) ;
  • Arda, Mustafa (Department of Mechanical Engineering, Trakya University) ;
  • Filiz, Seckin (Corlu Vocational School, Namik Kemal University)
  • 투고 : 2018.03.11
  • 심사 : 2018.09.18
  • 발행 : 2018.09.25
⟨ 이전 논문 다음 논문 ⟩

초록

Vibration of axially functionally graded nano-rods and beams is investigated. It is assumed that the material properties change along the rod and beam length. The Ritz method with algebraic polynomials is used in the formulation of the problems. Stress gradient elasticity theory is utilized in order to include the nonlocal effects. Frequencies are obtained for different boundary conditions, geometrical and material properties. Nonlocal parameter is assumed as changing linearly or quadratically along the length of the nanostructure. Frequencies are compared to constant nonlocal parameter cases and considerable differences are observed between constant and variable nonlocal parameter cases. Mode shapes in various cases are depicted in order to explain the effects of axial grading.

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참고문헌

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