Dynamic behavior of nanobeams under axial loads: Integral elasticity modeling and size‐dependent eigenfrequencies assessment

Abstract

In this article, eigenfrequencies of nanobeams under axial loads are assessed by making recourse to the well‐posed stress‐driven nonlocal model (SDM) and strain‐driven two‐phase local/nonlocal model (StrainTPM) of elasticity and Bernoulli–Euler kinematics. The developed nonlocal methodologies are applicable to a wide variety of nano‐engineered materials, such as carbon nanotubes, and modern small‐scale beam‐like devices of nanotechnological interest. Eigenfrequencies calculated using SDM are compared with those obtained by StrainTPM and by other nonlocal outcomes available in literature. Influence of nonlocal thermoelastic effects and initial axial force (tension and compression) on dynamic responses are analyzed and discussed.