Journal
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
Volume -, Issue -, Pages -Publisher
WILEY
DOI: 10.1002/mma.7152
Keywords
axial load; Bernoulli– Euler beam theory; constitutive boundary conditions; eigenfrequencies; nanostructures; nonlocal theory
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Funding
- Italian Ministry for University and Research P.R.I.N. [2017J4EAYB]
- University of Rijeka [uniri-tehnic-18-225, uniri-tehnic-18-37]
- Croatian Science Foundation [IP-2019-04-4703]
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This article assesses eigenfrequencies of nanobeams under axial loads using stress-driven nonlocal model (SDM) and strain-driven two-phase local/nonlocal model (StrainTPM) of elasticity and Bernoulli-Euler kinematics. The study compares eigenfrequencies calculated using SDM with those obtained by StrainTPM and other nonlocal outcomes, while analyzing the influence of nonlocal thermoelastic effects and initial axial force on dynamic responses.
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.
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