Natural vibrations of curved nano-beams and nano-arches

Authors

  • Shahid Mubasshar University of Tartu
  • Jaan Lellep University of Tartu

DOI:

https://doi.org/10.12697/ACUTM.2022.26.05

Keywords:

Nano-arches, natural frequency, crack, step

Abstract

The natural vibrations of curved nano-beams and nano-arches are studied. The nano-arches under consideration have piecewise constant thickness; these are weakened with stable cracks located at re-entrant corners of the steps. A method of determination of natural frequencies is developed making use of the method of weightless rotating spring. The aim of the paper is to assess the sensitivity of the eigenfrequencies on the geometrical and physical parameters of the nano-arch. The results of the calculations favourably compare with similar works of other researchers.

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Author Biographies

Shahid Mubasshar, University of Tartu

Institute of Mathematics and Statistics

Jaan Lellep, University of Tartu

Institute of Mathematics and Statistics

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Published

2022-05-29

Issue

Section

Articles