Mathematical model in a thin non-homogeneous rotating disc for isotropic material with rigid shaft by using Seth's transition theory

In this paper we investigate stresses and displacement in thin nonhomogeneous rotating disc has been derived by using Seth's Transition theory and results have been discussed and depicted graphically. Non-homogeneity is assumed due to the variation of modulus of rigidity. As a numerical example...

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Main Authors: Pankaj Thakur, Jatinder Kaur, Satya Bir Singh
Format: Article
Language:English
Published: University of Kragujevac, Faculty of Science 2015-01-01
Series:Kragujevac Journal of Science
Subjects:
Online Access:http://scindeks-clanci.ceon.rs/data/pdf/1450-9636/2015/1450-96361537011P.pdf
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author Pankaj Thakur
Jatinder Kaur
Satya Bir Singh
author_facet Pankaj Thakur
Jatinder Kaur
Satya Bir Singh
author_sort Pankaj Thakur
collection DOAJ
description In this paper we investigate stresses and displacement in thin nonhomogeneous rotating disc has been derived by using Seth's Transition theory and results have been discussed and depicted graphically. Non-homogeneity is assumed due to the variation of modulus of rigidity. As a numerical example, it has been seen that in the presence of non-homogeneity having values k > 0 at the bore, reduces stresses, displacement and the angular speed as compare to lesser value i.e. k <0 of nonhomogeneity. Radial stresses maximum at the internal surface.
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spelling doaj.art-99f5fd2fb51a4570bbcad9b2e578b9e92022-12-22T01:56:17ZengUniversity of Kragujevac, Faculty of ScienceKragujevac Journal of Science1450-96362466-55092015-01-01201537112210.5937/KgJSci1537011P1450-96361537011PMathematical model in a thin non-homogeneous rotating disc for isotropic material with rigid shaft by using Seth's transition theoryPankaj Thakur0Jatinder Kaur1Satya Bir Singh2Department of Mathematics, IEC University Baddi, Solan, Himachal Pradesh, IndiaDepartment of Mathematics, Punjabi University Patiala, Punjab, IndiaDepartment of Mathematics, Punjabi University Patiala, Punjab, IndiaIn this paper we investigate stresses and displacement in thin nonhomogeneous rotating disc has been derived by using Seth's Transition theory and results have been discussed and depicted graphically. Non-homogeneity is assumed due to the variation of modulus of rigidity. As a numerical example, it has been seen that in the presence of non-homogeneity having values k > 0 at the bore, reduces stresses, displacement and the angular speed as compare to lesser value i.e. k <0 of nonhomogeneity. Radial stresses maximum at the internal surface.http://scindeks-clanci.ceon.rs/data/pdf/1450-9636/2015/1450-96361537011P.pdfstressesdisplacementnon-homogeneousdiscangular speedyielding
spellingShingle Pankaj Thakur
Jatinder Kaur
Satya Bir Singh
Mathematical model in a thin non-homogeneous rotating disc for isotropic material with rigid shaft by using Seth's transition theory
Kragujevac Journal of Science
stresses
displacement
non-homogeneous
disc
angular speed
yielding
title Mathematical model in a thin non-homogeneous rotating disc for isotropic material with rigid shaft by using Seth's transition theory
title_full Mathematical model in a thin non-homogeneous rotating disc for isotropic material with rigid shaft by using Seth's transition theory
title_fullStr Mathematical model in a thin non-homogeneous rotating disc for isotropic material with rigid shaft by using Seth's transition theory
title_full_unstemmed Mathematical model in a thin non-homogeneous rotating disc for isotropic material with rigid shaft by using Seth's transition theory
title_short Mathematical model in a thin non-homogeneous rotating disc for isotropic material with rigid shaft by using Seth's transition theory
title_sort mathematical model in a thin non homogeneous rotating disc for isotropic material with rigid shaft by using seth s transition theory
topic stresses
displacement
non-homogeneous
disc
angular speed
yielding
url http://scindeks-clanci.ceon.rs/data/pdf/1450-9636/2015/1450-96361537011P.pdf
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AT satyabirsingh mathematicalmodelinathinnonhomogeneousrotatingdiscforisotropicmaterialwithrigidshaftbyusingsethstransitiontheory