Analysis of Microtubules Based on Strain Gradient Elasticity and Modified Couple Stress Theories

AKGÖZ B., CİVALEK Ö.

ADVANCES IN VIBRATION ENGINEERING, cilt.11, sa.4, ss.385-400, 2012 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 11 Sayı: 4
  • Basım Tarihi: 2012
  • Dergi Adı: ADVANCES IN VIBRATION ENGINEERING
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.385-400
  • Anahtar Kelimeler: Microtubules, Bending, Strain gradient elasticity, Modified couple stress, Static deflection, DEFORMABLE SHELL-MODEL, TIMOSHENKO-BEAM MODEL, FREE-VIBRATION, DYNAMIC-ANALYSIS, CARBON NANOTUBES, STIFFNESS, MICROSTRUCTURE, EQUILIBRIUM, PREDICTIONS, NANOSCALE
  • Akdeniz Üniversitesi Adresli: Evet

Özet

In the present study, a single elastic beam model based on strain gradient elasticity and modified couple stress theories is presented for bending analysis of microtubules (MTs). The small scale effect is taken into consideration using the strain gradient elasticity and couple stress theories in conjunction with the Bernoulli-Euler beam model. The governing equation and boundary conditions are derived using the variational approach. Governing equation is solved by analytically for simple supported boundary conditions, firstly. Analytical results are given to show the size effect on bending of microtubules. It is hoped that the research in the manuscript may present a benchmark in the study of bending analysis of micro-scaled systems such as microtubules.