Journal of Applied Mathematics

  • J. Appl. Math.
  • Volume 2012, Special Issue (2012), Article ID 158983, 16 pages.

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

Hsien-Yuan Lin, Jeng-Nan Lee, and Wen-Hao Sung

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Abstract

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.

Article information

Source
J. Appl. Math., Volume 2012, Special Issue (2012), Article ID 158983, 16 pages.

Dates
First available in Project Euclid: 3 January 2013

Permanent link to this document
https://projecteuclid.org/euclid.jam/1357177659

Digital Object Identifier
doi:10.1155/2012/158983

Zentralblatt MATH identifier
1251.74036

Citation

Lin, Hsien-Yuan; Lee, Jeng-Nan; Sung, Wen-Hao. Vibration of an Offshore Structure Having the Form of a Hollow Column Partially Filled with Multiple Fluids and Immersed in Water. J. Appl. Math. 2012, Special Issue (2012), Article ID 158983, 16 pages. doi:10.1155/2012/158983. https://projecteuclid.org/euclid.jam/1357177659


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