Analysis of Deflection in Visco-Thermoelastic Beam Resonators Subjected to Harmonic Loading
This paper analyses the transverse deflection in a homogeneous, isotropic, visco-thermoelastic beam when subjected to harmonic load. The ends of the beam are considered at different boundary conditions (both axial ends clamped, both axial ends simply supported and left end clamped and right end free...
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Language: | English |
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University of Zielona Góra
2022-06-01
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Series: | International Journal of Applied Mechanics and Engineering |
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Online Access: | https://www.ijame-poland.com/Analysis-of-Deflection-in-Visco-Thermoelastic-Beam-Resonators-Subjected-to-Harmonic,166707,0,2.html |
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author | Deepti Chopra Prince Singh |
author_facet | Deepti Chopra Prince Singh |
author_sort | Deepti Chopra |
collection | DOAJ |
description | This paper analyses the transverse deflection in a homogeneous, isotropic, visco-thermoelastic beam when subjected to harmonic load. The ends of the beam are considered at different boundary conditions (both axial ends clamped, both axial ends simply supported and left end clamped and right end free). The deflection has been studied by using the Laplace transform. Numerical computation of analytical expression of deflection obtained after Inverse Laplace transform has been done using MATLAB software. The graphical observations have been discussed under various boundary conditions for different values of time and length. The above work has applications in design of resonators. |
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format | Article |
id | doaj.art-2cf66b0d2668406f949c37ee36ea0d29 |
institution | Directory Open Access Journal |
issn | 1734-4492 2353-9003 |
language | English |
last_indexed | 2024-03-12T16:33:14Z |
publishDate | 2022-06-01 |
publisher | University of Zielona Góra |
record_format | Article |
series | International Journal of Applied Mechanics and Engineering |
spelling | doaj.art-2cf66b0d2668406f949c37ee36ea0d292023-08-08T15:04:49ZengUniversity of Zielona GóraInternational Journal of Applied Mechanics and Engineering1734-44922353-90032022-06-01272355210.2478/ijame-2022-0018166707Analysis of Deflection in Visco-Thermoelastic Beam Resonators Subjected to Harmonic LoadingDeepti Chopra0Prince Singh1Department of Mathematics, School of Chemical Engineering and Physical Sciences Lovely Professional University, Phagwara, Punjab, IndiaDepartment of Mathematics, School of Chemical Engineering and Physical Sciences Lovely Professional University, Phagwara, Punjab, IndiaThis paper analyses the transverse deflection in a homogeneous, isotropic, visco-thermoelastic beam when subjected to harmonic load. The ends of the beam are considered at different boundary conditions (both axial ends clamped, both axial ends simply supported and left end clamped and right end free). The deflection has been studied by using the Laplace transform. Numerical computation of analytical expression of deflection obtained after Inverse Laplace transform has been done using MATLAB software. The graphical observations have been discussed under various boundary conditions for different values of time and length. The above work has applications in design of resonators.https://www.ijame-poland.com/Analysis-of-Deflection-in-Visco-Thermoelastic-Beam-Resonators-Subjected-to-Harmonic,166707,0,2.htmlvisco-thermoelasticbeamloadinglaplace transform |
spellingShingle | Deepti Chopra Prince Singh Analysis of Deflection in Visco-Thermoelastic Beam Resonators Subjected to Harmonic Loading International Journal of Applied Mechanics and Engineering visco-thermoelastic beam loading laplace transform |
title | Analysis of Deflection in Visco-Thermoelastic Beam Resonators Subjected to Harmonic Loading |
title_full | Analysis of Deflection in Visco-Thermoelastic Beam Resonators Subjected to Harmonic Loading |
title_fullStr | Analysis of Deflection in Visco-Thermoelastic Beam Resonators Subjected to Harmonic Loading |
title_full_unstemmed | Analysis of Deflection in Visco-Thermoelastic Beam Resonators Subjected to Harmonic Loading |
title_short | Analysis of Deflection in Visco-Thermoelastic Beam Resonators Subjected to Harmonic Loading |
title_sort | analysis of deflection in visco thermoelastic beam resonators subjected to harmonic loading |
topic | visco-thermoelastic beam loading laplace transform |
url | https://www.ijame-poland.com/Analysis-of-Deflection-in-Visco-Thermoelastic-Beam-Resonators-Subjected-to-Harmonic,166707,0,2.html |
work_keys_str_mv | AT deeptichopra analysisofdeflectioninviscothermoelasticbeamresonatorssubjectedtoharmonicloading AT princesingh analysisofdeflectioninviscothermoelasticbeamresonatorssubjectedtoharmonicloading |