Vibration of an Offshore Structure Having the Form of a Hollow Column Partially Filled with Multiple Fluids and Immersed in Water

This paper employs the numerical assembly method (NAM) to determine the exact frequency-response amplitudes of an offshore structure such as piles or towers having the form of a hollow column filled with multiple fluids, immersed in water, carrying an eccentric tip mass supported by a translational...

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Main Authors: Hsien-Yuan Lin, Jeng-Nan Lee, Wen-Hao Sung
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2012/158983
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author Hsien-Yuan Lin
Jeng-Nan Lee
Wen-Hao Sung
author_facet Hsien-Yuan Lin
Jeng-Nan Lee
Wen-Hao Sung
author_sort Hsien-Yuan Lin
collection DOAJ
description This paper employs the numerical assembly method (NAM) to determine the exact frequency-response amplitudes of an offshore structure such as piles or towers having the form of a hollow column filled with multiple fluids, immersed in water, carrying an eccentric tip mass supported by a translational spring and/or a rotational spring, and subjected to a harmonic force. The hollow column is modeled as a Bernoulli-Euler cantilever beam fixed at the bottom. For the case of zero harmonic force, the simultaneous equations of the vibration system reduce to an eigenvalue problem so that the natural frequencies and mode shapes of the beam can also be obtained. The effect of height of filled fluids on the characteristics of free vibration is also presented.
format Article
id doaj-art-7538ebc16e854605aa45f90b8c12ec68
institution Kabale University
issn 1110-757X
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language English
publishDate 2012-01-01
publisher Wiley
record_format Article
series Journal of Applied Mathematics
spelling doaj-art-7538ebc16e854605aa45f90b8c12ec682025-02-03T06:44:20ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/158983158983Vibration of an Offshore Structure Having the Form of a Hollow Column Partially Filled with Multiple Fluids and Immersed in WaterHsien-Yuan Lin0Jeng-Nan Lee1Wen-Hao Sung2Department of Mechanical Engineering, Cheng Shiu University, Kaohsiung 83347, TaiwanDepartment of Mechanical Engineering, Cheng Shiu University, Kaohsiung 83347, TaiwanDepartment of Mechanical Engineering, Cheng Shiu University, Kaohsiung 83347, TaiwanThis paper employs the numerical assembly method (NAM) to determine the exact frequency-response amplitudes of an offshore structure such as piles or towers having the form of a hollow column filled with multiple fluids, immersed in water, carrying an eccentric tip mass supported by a translational spring and/or a rotational spring, and subjected to a harmonic force. The hollow column is modeled as a Bernoulli-Euler cantilever beam fixed at the bottom. For the case of zero harmonic force, the simultaneous equations of the vibration system reduce to an eigenvalue problem so that the natural frequencies and mode shapes of the beam can also be obtained. The effect of height of filled fluids on the characteristics of free vibration is also presented.http://dx.doi.org/10.1155/2012/158983
spellingShingle Hsien-Yuan Lin
Jeng-Nan Lee
Wen-Hao Sung
Vibration of an Offshore Structure Having the Form of a Hollow Column Partially Filled with Multiple Fluids and Immersed in Water
Journal of Applied Mathematics
title Vibration of an Offshore Structure Having the Form of a Hollow Column Partially Filled with Multiple Fluids and Immersed in Water
title_full Vibration of an Offshore Structure Having the Form of a Hollow Column Partially Filled with Multiple Fluids and Immersed in Water
title_fullStr Vibration of an Offshore Structure Having the Form of a Hollow Column Partially Filled with Multiple Fluids and Immersed in Water
title_full_unstemmed Vibration of an Offshore Structure Having the Form of a Hollow Column Partially Filled with Multiple Fluids and Immersed in Water
title_short Vibration of an Offshore Structure Having the Form of a Hollow Column Partially Filled with Multiple Fluids and Immersed in Water
title_sort vibration of an offshore structure having the form of a hollow column partially filled with multiple fluids and immersed in water
url http://dx.doi.org/10.1155/2012/158983
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AT jengnanlee vibrationofanoffshorestructurehavingtheformofahollowcolumnpartiallyfilledwithmultiplefluidsandimmersedinwater
AT wenhaosung vibrationofanoffshorestructurehavingtheformofahollowcolumnpartiallyfilledwithmultiplefluidsandimmersedinwater