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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University of Kragujevac, Faculty of Science
2015-01-01
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Series: | Kragujevac Journal of Science |
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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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id | doaj.art-99f5fd2fb51a4570bbcad9b2e578b9e9 |
institution | Directory Open Access Journal |
issn | 1450-9636 2466-5509 |
language | English |
last_indexed | 2024-12-10T08:23:37Z |
publishDate | 2015-01-01 |
publisher | University of Kragujevac, Faculty of Science |
record_format | Article |
series | Kragujevac Journal of Science |
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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