FREE VIBRATIONS OF STEPPED NANO-BEAMS
Free (open access)
Volume 6 (2018), Issue 4
716 - 725
JAAN LELLEP & ARTUR LENBAUM
Free vibrations of beams and rods made of nano-materials are investigated. It is assumed that the dimensions of cross sections of nano-beams are piecewise constant and that the beams are weakened with cracks. It is expected that the vibrational behaviour of the nano-material can be described within the non-local theory of elasticity and that the crack induces additional local compliance. The latter is coupled with the stress intensity coefficient at the crack tip.
beam, crack, non-local elasticity, nano-material, vibration