پايداري تير اولر برنولي تحت بارهاي ترمو مكانيكي با تئوري مرتبه بالا

Stability of micro-beam including Higher-Order Beam Theories under thermal and mechanical forces

This paper investigatesthe effects of thermal load and shear force on the buckling of nanobeams.Higher-order shear deformation beam theoriesare implementedand their predictions of the critical buckling load and post-buckled configurations are compared to those ofEuler-Bernoulli and Timoshenkobeam theories.The Eringen model for nonlocal elasticity is adopted to account formaterial discontinuity at the nano-scale and analytical solutionsfor critical buckling loads and post-buckling configurations are derived for each beam theory.Results show that thermal loadhas a more significant impact on the buckling behavior ofsimply-supported beams (S-S) than it has onclamped-clamped (C-C)beams. However, the nonlocal effect has more impact on C-C beams that it does on S-S beams.Moreover, it was found that the predictions obtained fromTimoshenko beam theoryare identical to those obtained using all higher-order shear deformation theories, suggesting that Timoshenko beam theory is sufficientto analyze buckling in nanobeams.

This paper investigatesthe effects of thermal load and shear force on the buckling of nanobeams.Higher-order shear deformation beam theoriesare implementedand their predictions of the critical buckling load and post-buckled configurations are compared to those ofEuler-Bernoulli and Timoshenkobeam theories.The Eringen model for nonlocal elasticity is adopted to account formaterial discontinuity at the nano-scale and analytical solutionsfor critical buckling loads and post-buckling configurations are derived for each beam theory.Results show that thermal loadhas a more significant impact on the buckling behavior ofsimply-supported beams (S-S) than it has onclamped-clamped (C-C)beams. However, the nonlocal effect has more impact on C-C beams that it does on S-S beams.Moreover, it was found that the predictions obtained fromTimoshenko beam theoryare identical to those obtained using all higher-order shear deformation theories, suggesting that Timoshenko beam theory is sufficientto analyze buckling in nanobeams.