WIT Press


FREE VIBRATIONS OF STEPPED NANO-BEAMS



Price

Free (open access)

Paper DOI

10.2495/CMEM-V6-N4-716-725

Volume

Volume 6 (2018), Issue 4

Pages

9

Page Range

716 - 725

Author(s)

JAAN LELLEP & ARTUR LENBAUM

Abstract

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.

Keywords

beam, crack, non-local elasticity, nano-material, vibration