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...
Saved in:
Main Authors: | , , |
---|---|
Format: | Article |
Language: | English |
Published: |
Wiley
2012-01-01
|
Series: | Journal of Applied Mathematics |
Online Access: | http://dx.doi.org/10.1155/2012/158983 |
Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
_version_ | 1832547580377038848 |
---|---|
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 1687-0042 |
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 |
work_keys_str_mv | AT hsienyuanlin vibrationofanoffshorestructurehavingtheformofahollowcolumnpartiallyfilledwithmultiplefluidsandimmersedinwater AT jengnanlee vibrationofanoffshorestructurehavingtheformofahollowcolumnpartiallyfilledwithmultiplefluidsandimmersedinwater AT wenhaosung vibrationofanoffshorestructurehavingtheformofahollowcolumnpartiallyfilledwithmultiplefluidsandimmersedinwater |