eesti teaduste
akadeemia kirjastus
SINCE 1952
Proceeding cover
of the estonian academy of sciences
ISSN 1736-7530 (Electronic)
ISSN 1736-6046 (Print)
Impact Factor (2021): 1.024
Free vibrations of stepped nano-beams with cracks; pp. 103–116
PDF | 10.3176/proc.2022.1.09

Jaan Lellep, Artur Lenbaum

Free vibrations of stepped beams made of nano-materials are investigated. The nano-beams under consideration have piecewise constant dimensions of the cross section and are weakened with crack-like defects. The influence of the crack on the mechanical behaviour of the nano-beam is defined with the aid of the additional local compliance. Mechanical vibrations of the nano-beam are specified in the non-local theory of elasticity developed by Eringen. Numerical results are presented for nano-beams with two different thicknesses.


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