Effect of memory dependent derivative and variable thermal conductivity in cantilever nano-Beam with forced transverse vibrations

This research work studies the effect of variable thermal conductivity on transversely isotropic thermoelastic (TIT) homogeneous nonlocal clamped-free beam. The beam undergoes forced vibrations due to two types of heat sources i.e. exponential time-varying and time-harmonic load. The mathematical mo...

Descripción completa

Guardado en:

Detalles Bibliográficos
Autores principales:	Iqbal Kaur, Kulvinder Singh
Formato:	article
Lenguaje:	EN
Publicado:	Elsevier 2021
Materias:	Nano-beam Variable thermal Conductivity Memory dependent derivative Two temperature Nonlocal Mechanics of engineering. Applied mechanics TA349-359 Technology T
Acceso en línea:	https://doaj.org/article/7cab92358dd64fe1b3386eba362cd81f
Etiquetas:	Agregar Etiqueta Sin Etiquetas, Sea el primero en etiquetar este registro!

id	oai:doaj.org-article:7cab92358dd64fe1b3386eba362cd81f
record_format	dspace
spelling	oai:doaj.org-article:7cab92358dd64fe1b3386eba362cd81f2021-12-04T04:36:00ZEffect of memory dependent derivative and variable thermal conductivity in cantilever nano-Beam with forced transverse vibrations2666-359710.1016/j.finmec.2021.100043https://doaj.org/article/7cab92358dd64fe1b3386eba362cd81f2021-11-01T00:00:00Zhttp://www.sciencedirect.com/science/article/pii/S2666359721000342https://doaj.org/toc/2666-3597This research work studies the effect of variable thermal conductivity on transversely isotropic thermoelastic (TIT) homogeneous nonlocal clamped-free beam. The beam undergoes forced vibrations due to two types of heat sources i.e. exponential time-varying and time-harmonic load. The mathematical model has been formed for a 2-D problem using a heat equation with two temperature (2T) involving memory-dependent derivatives (MDD) and Euler Bernoulli beam theory (EBBT). Laplace transforms are used to solve the problem. The dimensionless expressions for a thermal moment, axial stress, lateral deflection, and temperature change are calculated for these two types of forced vibrations. MATLAB software is used for programming and numerical data for cobalt nanobeam has been considered. The influence of variable thermal conductivity and kernel function of MDD has been depicted graphically on the physical quantities such as temperature change, lateral deflection, axial stress thermal moment, for the forced vibrations. Specific cases have also been mentioned.Iqbal KaurKulvinder SinghElsevierarticleNano-beamVariable thermal ConductivityMemory dependent derivativeTwo temperatureNonlocalMechanics of engineering. Applied mechanicsTA349-359TechnologyTENForces in Mechanics, Vol 5, Iss , Pp 100043- (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Nano-beam Variable thermal Conductivity Memory dependent derivative Two temperature Nonlocal Mechanics of engineering. Applied mechanics TA349-359 Technology T
spellingShingle	Nano-beam Variable thermal Conductivity Memory dependent derivative Two temperature Nonlocal Mechanics of engineering. Applied mechanics TA349-359 Technology T Iqbal Kaur Kulvinder Singh Effect of memory dependent derivative and variable thermal conductivity in cantilever nano-Beam with forced transverse vibrations
description	This research work studies the effect of variable thermal conductivity on transversely isotropic thermoelastic (TIT) homogeneous nonlocal clamped-free beam. The beam undergoes forced vibrations due to two types of heat sources i.e. exponential time-varying and time-harmonic load. The mathematical model has been formed for a 2-D problem using a heat equation with two temperature (2T) involving memory-dependent derivatives (MDD) and Euler Bernoulli beam theory (EBBT). Laplace transforms are used to solve the problem. The dimensionless expressions for a thermal moment, axial stress, lateral deflection, and temperature change are calculated for these two types of forced vibrations. MATLAB software is used for programming and numerical data for cobalt nanobeam has been considered. The influence of variable thermal conductivity and kernel function of MDD has been depicted graphically on the physical quantities such as temperature change, lateral deflection, axial stress thermal moment, for the forced vibrations. Specific cases have also been mentioned.
format	article
author	Iqbal Kaur Kulvinder Singh
author_facet	Iqbal Kaur Kulvinder Singh
author_sort	Iqbal Kaur
title	Effect of memory dependent derivative and variable thermal conductivity in cantilever nano-Beam with forced transverse vibrations
title_short	Effect of memory dependent derivative and variable thermal conductivity in cantilever nano-Beam with forced transverse vibrations
title_full	Effect of memory dependent derivative and variable thermal conductivity in cantilever nano-Beam with forced transverse vibrations
title_fullStr	Effect of memory dependent derivative and variable thermal conductivity in cantilever nano-Beam with forced transverse vibrations
title_full_unstemmed	Effect of memory dependent derivative and variable thermal conductivity in cantilever nano-Beam with forced transverse vibrations
title_sort	effect of memory dependent derivative and variable thermal conductivity in cantilever nano-beam with forced transverse vibrations
publisher	Elsevier
publishDate	2021
url	https://doaj.org/article/7cab92358dd64fe1b3386eba362cd81f
work_keys_str_mv	AT iqbalkaur effectofmemorydependentderivativeandvariablethermalconductivityincantilevernanobeamwithforcedtransversevibrations AT kulvindersingh effectofmemorydependentderivativeandvariablethermalconductivityincantilevernanobeamwithforcedtransversevibrations
_version_	1718372921123012608

Effect of memory dependent derivative and variable thermal conductivity in cantilever nano-Beam with forced transverse vibrations

Ejemplares similares