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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Main Authors: Deepti Chopra, Prince Singh
Format: Article
Language:English
Published: University of Zielona Góra 2022-06-01
Series:International Journal of Applied Mechanics and Engineering
Subjects:
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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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