Thermal vibration analysis of cracked nanobeams embedded in an elastic matrix using finite element analysis

A. I. Aria, M. I. Friswell, Timon Rabczuk

Research output: Contribution to journalArticle

6 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)118-128
Number of pages11
JournalComposite Structures
Volume212
DOIs
Publication statusPublished - 2019 Mar 15
Externally publishedYes

Fingerprint

Vibration analysis
Cracks
Finite element method
Galerkin methods
Thermal effects
Thermal gradients
Equations of motion
Natural frequencies
Stiffness
Boundary conditions
Hot Temperature

Keywords

  • Cracked nanobeam
  • Finite element
  • Nonlocal theory
  • Thermal effects
  • Transverse free vibrations
  • Winkler-Pasternak medium

ASJC Scopus subject areas

  • Ceramics and Composites
  • Civil and Structural Engineering

Cite this

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

In: Composite Structures, Vol. 212, 15.03.2019, p. 118-128.

Research output: Contribution to journalArticle

Aria, A. I. ; Friswell, M. I. ; Rabczuk, Timon. / Thermal vibration analysis of cracked nanobeams embedded in an elastic matrix using finite element analysis. In: Composite Structures. 2019 ; Vol. 212. pp. 118-128.
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