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

AKGÖZ B., CİVALEK Ö.

STRUCTURAL ENGINEERING AND MECHANICS, cilt.48, sa.2, ss.195-205, 2013 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 48 Sayı: 2
  • Basım Tarihi: 2013
  • Doi Numarası: 10.12989/sem.2013.48.2.195
  • Dergi Adı: STRUCTURAL ENGINEERING AND MECHANICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.195-205
  • Anahtar Kelimeler: buckling, strain gradient theory, size effect, Rayleigh-Ritz method, non-uniform micro-column, WALLED CARBON NANOTUBES, FREE-VIBRATION ANALYSIS, MOLECULAR-DYNAMICS SIMULATION, NONLOCAL CONTINUUM-MECHANICS, LAYER GRAPHENE SHEETS, COUPLE STRESS THEORY, STATIC DEFLECTION, BEAM THEORY, MICROTUBULES, MODEL
  • Akdeniz Üniversitesi Adresli: Evet

Özet

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.