Free vibrations of stepped nano-beams with cracks; pp. 103–116

Proceedings of the Estonian Academy of Sciences

article

Jaan Lellep¹  Artur Lenbaum¹ 

[1] Institute of Mathematics and Statistics, University of Tartu

关键词: nano-beam;    crack;    eigenfrequency;   

DOI  :  10.3176/proc.2022.1.09

学科分类：内科医学

来源: Teaduste Akadeemia Kirjastus

【 摘 要 】

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.

【 授权许可】

CC BY