Natural vibrations of circular nano-arches of piecewise constant thickness

TL;DR

This paper investigates the natural vibration frequencies of nano-scale circular arches with varying thickness, incorporating nonlocal elasticity theory and crack effects to assess their sensitivity to geometric and physical parameters.

Contribution

It introduces a novel method using the massless spring concept and Eringen's nonlocal theory to determine eigenfrequencies of cracked nano-arches.

Findings

Eigenfrequencies are highly sensitive to crack presence and geometry.

The method accurately predicts vibrational behavior of nano-arches.

Results demonstrate the influence of material and structural parameters on vibrations.

Abstract

The free vibrations of elastic circular arches made of a nano-material are considered. A method of determination of eigenfrequencies of nano-arches weakened with stable cracks is developed making use of the concept of the massless spring and Eringen's nonlocal theory of elasticity. The aim of the paper is to evaluate the sensitivity of eigenfrequencies on the geometrical and physical parameters of the nano-arch.