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Thermal vibration analysis of cracked nanobeams embedded in an elastic matrix using finite element analysis / A.I. Aria; M.I. Friswell; T. Rabczuk; Michael Friswell

Composite Structures, Volume: 212, Pages: 118 - 128

Swansea University Author: Michael, Friswell

Abstract

In this study, a finite element (FE) model is proposed to study the thermal transverse vibrations of cracked nanobeams resting on a double-parameter nonlocal elastic foundation. Hamilton’s principal is employed to derive the governing equations for the free vibrations of the nanobeam. The cracked se...

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Published in: Composite Structures
ISSN: 0263-8223
Published: 2019
Online Access: Check full text

URI: https://cronfa.swan.ac.uk/Record/cronfa48129
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Abstract: In this study, a finite element (FE) model is proposed to study the thermal transverse vibrations of cracked nanobeams resting on a double-parameter nonlocal elastic foundation. Hamilton’s principal is employed to derive the governing equations for the free vibrations of the nanobeam. The cracked section of the beam is modelled by dividing the cracked element into two classical beam sections connected via a rotational spring positioned at the crack. The Galerkin method of weighted residuals is used to solve the equations of motion and calculate the natural frequencies. The effect of the crack length, crack position, the temperature gradient, the boundary conditions and the foundation stiffness, on the vibration response of the cracked nanobeams supported by elastic foundations is considered by including thermal effects. The FE results are compared to the available benchmark studies in the literature.
Keywords: Cracked nanobeam, Nonlocal theory, Transverse free vibrations, Winkler-Pasternak medium, Thermal effects, Finite element
College: College of Engineering
Start Page: 118
End Page: 128