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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
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URI: https://cronfa.swan.ac.uk/Record/cronfa48129
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first_indexed 2019-01-10T14:00:57Z
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spelling 2019-02-25T16:41:30.4529272 v2 48129 2019-01-10 Thermal vibration analysis of cracked nanobeams embedded in an elastic matrix using finite element analysis 5894777b8f9c6e64bde3568d68078d40 Michael Friswell Michael Friswell true false 2019-01-10 EEN 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. Journal Article Composite Structures 212 118 128 0263-8223 Cracked nanobeam, Nonlocal theory, Transverse free vibrations, Winkler-Pasternak medium, Thermal effects, Finite element 15 3 2019 2019-03-15 10.1016/j.compstruct.2019.01.040 COLLEGE NANME Engineering COLLEGE CODE EEN Swansea University 2019-02-25T16:41:30.4529272 2019-01-10T09:23:05.4557399 College of Engineering Engineering A.I. Aria 1 M.I. Friswell 2 T. Rabczuk 3 Michael Friswell 4 0048129-14012019085811.pdf aria2019.pdf 2019-01-14T08:58:11.1170000 Output 837803 application/pdf Accepted Manuscript true 2020-01-06T00:00:00.0000000 true eng
title Thermal vibration analysis of cracked nanobeams embedded in an elastic matrix using finite element analysis
spellingShingle Thermal vibration analysis of cracked nanobeams embedded in an elastic matrix using finite element analysis
Michael, Friswell
title_short Thermal vibration analysis of cracked nanobeams embedded in an elastic matrix using finite element analysis
title_full Thermal vibration analysis of cracked nanobeams embedded in an elastic matrix using finite element analysis
title_fullStr Thermal vibration analysis of cracked nanobeams embedded in an elastic matrix using finite element analysis
title_full_unstemmed Thermal vibration analysis of cracked nanobeams embedded in an elastic matrix using finite element analysis
title_sort Thermal vibration analysis of cracked nanobeams embedded in an elastic matrix using finite element analysis
author_id_str_mv 5894777b8f9c6e64bde3568d68078d40
author_id_fullname_str_mv 5894777b8f9c6e64bde3568d68078d40_***_Michael, Friswell
author Michael, Friswell
author2 A.I. Aria
M.I. Friswell
T. Rabczuk
Michael Friswell
format Journal article
container_title Composite Structures
container_volume 212
container_start_page 118
publishDate 2019
institution Swansea University
issn 0263-8223
doi_str_mv 10.1016/j.compstruct.2019.01.040
college_str College of Engineering
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hierarchy_top_title College of Engineering
hierarchy_parent_id collegeofengineering
hierarchy_parent_title College of Engineering
department_str Engineering{{{_:::_}}}College of Engineering{{{_:::_}}}Engineering
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description 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.
published_date 2019-03-15T04:10:35Z
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