Natural vibrations of curved nano-beams and nano-arches

TL;DR

This paper investigates the natural vibration frequencies of curved nano-beams and nano-arches with cracks, developing a method to analyze how their eigenfrequencies depend on geometry and physical properties.

Contribution

A novel method using weightless rotating springs is introduced to determine eigenfrequencies of cracked nano-arches with variable thickness.

Findings

Eigenfrequencies are sensitive to geometric and physical parameters.

The proposed method's results agree with previous research.

Cracks significantly influence vibrational characteristics.

Abstract

The natural vibrations of curved nano-beams and nano-arches are studied. The nano-arches under consideration have piece-wise constant thickness; these are weakened with stable cracks located at-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.