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Free vibration of layered truncated conical shells filled with quiescent fluid using spline method

Free vibration of layered truncated conical shells filled with quiescent fluid using spline method is studied. Love's first approximation theory is used to formulate the equations of motion of truncated conical shells. Velocity potential and Bernoulli's equations have been applied for the...

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Main Authors: Izyan, M. D. N., Viswanathan, K. K., Aziz, Z. A., Lee, J. H., Prabakar, K.
Format: Article
Published: Elsevier Ltd 2017
Subjects:
QA Mathematics
Online Access:http://eprints.utm.my/id/eprint/75938/
https://www.scopus.com/inward/record.uri?eid=2-s2.0-85007030727&doi=10.1016%2fj.compstruct.2016.12.011&partnerID=40&md5=2d888431fe0d3959e98ba876153ca7ee
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spelling my.utm.759382018-05-30T04:11:23Z http://eprints.utm.my/id/eprint/75938/ Free vibration of layered truncated conical shells filled with quiescent fluid using spline method Izyan, M. D. N. Viswanathan, K. K. Aziz, Z. A. Lee, J. H. Prabakar, K. QA Mathematics Free vibration of layered truncated conical shells filled with quiescent fluid using spline method is studied. Love's first approximation theory is used to formulate the equations of motion of truncated conical shells. Velocity potential and Bernoulli's equations have been applied for the expression of the pressure of the fluid. The fluid is assumed to be incompressible, inviscid and quiescent. The solutions of displacement functions are assumed in a separable form to obtain a system of coupled differential equations in terms of displacement functions. The displacement functions are approximated by Bickley-type splines to obtain the generalized eigenvalue problem by combining with boundary conditions. A generalized eigenvalue problem is obtained and solved numerically for frequency parameter and an associated eigenvector of spline coefficients. Two layered shells are considered. Parametric studies are made to investigate the effect of fluid on the frequencies with respect to the relative layer thickness, semi cone angle and length ratio. Elsevier Ltd 2017 Article PeerReviewed Izyan, M. D. N. and Viswanathan, K. K. and Aziz, Z. A. and Lee, J. H. and Prabakar, K. (2017) Free vibration of layered truncated conical shells filled with quiescent fluid using spline method. Composite Structures, 163 . pp. 385-398. ISSN 0263-8223 https://www.scopus.com/inward/record.uri?eid=2-s2.0-85007030727&doi=10.1016%2fj.compstruct.2016.12.011&partnerID=40&md5=2d888431fe0d3959e98ba876153ca7ee
institution Universiti Teknologi Malaysia
building UTM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Teknologi Malaysia
content_source UTM Institutional Repository
url_provider http://eprints.utm.my/
topic QA Mathematics
spellingShingle QA Mathematics
Izyan, M. D. N.
Viswanathan, K. K.
Aziz, Z. A.
Lee, J. H.
Prabakar, K.
Free vibration of layered truncated conical shells filled with quiescent fluid using spline method
description Free vibration of layered truncated conical shells filled with quiescent fluid using spline method is studied. Love's first approximation theory is used to formulate the equations of motion of truncated conical shells. Velocity potential and Bernoulli's equations have been applied for the expression of the pressure of the fluid. The fluid is assumed to be incompressible, inviscid and quiescent. The solutions of displacement functions are assumed in a separable form to obtain a system of coupled differential equations in terms of displacement functions. The displacement functions are approximated by Bickley-type splines to obtain the generalized eigenvalue problem by combining with boundary conditions. A generalized eigenvalue problem is obtained and solved numerically for frequency parameter and an associated eigenvector of spline coefficients. Two layered shells are considered. Parametric studies are made to investigate the effect of fluid on the frequencies with respect to the relative layer thickness, semi cone angle and length ratio.
format Article
author Izyan, M. D. N.
Viswanathan, K. K.
Aziz, Z. A.
Lee, J. H.
Prabakar, K.
author_facet Izyan, M. D. N.
Viswanathan, K. K.
Aziz, Z. A.
Lee, J. H.
Prabakar, K.
author_sort Izyan, M. D. N.
title Free vibration of layered truncated conical shells filled with quiescent fluid using spline method
title_short Free vibration of layered truncated conical shells filled with quiescent fluid using spline method
title_full Free vibration of layered truncated conical shells filled with quiescent fluid using spline method
title_fullStr Free vibration of layered truncated conical shells filled with quiescent fluid using spline method
title_full_unstemmed Free vibration of layered truncated conical shells filled with quiescent fluid using spline method
title_sort free vibration of layered truncated conical shells filled with quiescent fluid using spline method
publisher Elsevier Ltd
publishDate 2017
url http://eprints.utm.my/id/eprint/75938/
https://www.scopus.com/inward/record.uri?eid=2-s2.0-85007030727&doi=10.1016%2fj.compstruct.2016.12.011&partnerID=40&md5=2d888431fe0d3959e98ba876153ca7ee
_version_ 1643657201797038080
score 13.211869

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