Free vibration of rectangular nanoplate strips

Author:

Lellep Jaan1,Hossain Mainul1

Affiliation:

1. Institute of Mathematics and Statistic, University of Tartu, Tartu, Estonia

Abstract

Natural vibrations of nanobeams and nanosheets are investigated with the help of nonlocal theories of elasticity. The vibration analysis is based on the size-dependent non-local theory of elasticity developed by A. C. Eringen. It is assumed that the nano-structures under consideration have rectangular cross sections with piece wise constant dimensions and that the nanoplates are weakened with defects. The influence of the crack on the vibration of the nanoplate is assessed with the aid of additional local compliance developed in previous papers. Numerical results are presented for one- and two-stepped nanoplates.

Publisher

Vilnius Gediminas Technical University

Reference12 articles.

1. Fracture Mechanics

2. Vibration of cracked structures: A state of the art review

3. Vibration of elastic stretched strips with cracks;Lellep, J.;International Journal of Mechanics,2011

4. Free vibrations of stepped nano-beams

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