Structural Engineering and Mechanics

  • 제48권2호
  • /
  • Pages.195-205
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  • 2013
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  • 1225-4568(pISSN)
  • /
  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

Buckling analysis of linearly tapered micro-columns based on strain gradient elasticity

  • Akgoz, Bekir (Civil Engineering Department, Division of Mechanics, Akdeniz University) ;
  • Civalek, Omer (Civil Engineering Department, Division of Mechanics, Akdeniz University)
  • 투고 : 2012.05.07
  • 심사 : 2013.10.02
  • 발행 : 2013.10.25
⟨ 이전 논문 다음 논문 ⟩

초록

The buckling problem of linearly tapered micro-columns is investigated on the basis of modified strain gradient elasticity theory. Bernoulli-Euler beam theory is used to model the non-uniform micro column. Rayleigh-Ritz solution method is utilized to obtain the critical buckling loads of the tapered cantilever micro-columns for different taper ratios. Some comparative results for the cases of rectangular and circular cross-sections are presented in graphical and tabular form to show the differences between the results obtained by modified strain gradient elasticity theory and those achieved by modified couple stress and classical theories. From the results, it is observed that the differences between critical buckling loads achieved by classical and those predicted by non-classical theories are considerable for smaller values of the ratio of the micro-column thickness (or diameter) at its bottom end to the additional material length scale parameters and the differences also increase due to increasing of the taper ratio.

키워드

참고문헌

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