Second Order Effect Induced by a Forced Heaving

Title & Authors
Second Order Effect Induced by a Forced Heaving
Kim, Won-Joong; Kwon, Sun-Hong;

Abstract
In this paper, the $\small{2^{nd}}$ order hydrodynamic force effect of heaving submerged circular cylinder is considered, with the linear potential theory. Boundary value problem (BVP) is expanded up to the $\small{2^{nd}}$ order by using of the perturbation method and the $\small{2^{nd}}$ order velocity potential is calculated by means of integral equation technique using the classical Green`s function expressed in cylindrical coordinates. The method of solving BVP is based on eigenfunction expansions. With different cylinder heights and heaving frequencies, graphical results are presented. As a result of the study, the cause of oscillatory force pattern is analyzed with the occurrence of negative added mass when a top of the cylinder gets closer to the free surface.
Keywords
Second order force;Potential theory;Heaving cylinder;Eigen function expansions;Green function;Negative added mass;
Language
English
Cited by
References
1.
Chau, F. P., and R. Eatock Taylor. "Second-order wave diffraction by a vertical cylinder." Journal of Fluid Mechanics 240 (1992): 571-599.

2.
Lighthill, James. "Waves and hydrodynamic loading." Proceedings of the Second International Conference on the Behaviour of Off-Shore Structures, held at Imperial College, London, England. (1979).

3.
Malenica, Sime, and B. Molin. "Third-harmonic wave diffraction by a vertical cylinder." Journal of Fluid Mechanics 302 (1995): 203-229.

4.
McIver, P., and D. V. Evans. "The occurrence of negative added mass in free-surface problems involving submerged oscillating bodies." Journal of engineering mathematics 18.1 (1984): 7-22.

5.
Mei, C. C. "The applied dynamics of ocean waves." John Wiely & Sons, New York (1983).

6.
Molin, Bernard. "Second-order diffraction loads upon three-dimensional bodies."Applied Ocean Research 1.4 (1979): 197-202.

7.
Molin, B., and A. Marion. "Second-order loads and motions for floating bodies in regular waves", Proceedings of the Fifth International Symposium on Offshore Mechanics and Arctic Engineering, held Tokyo, 13-18 Apr. (1986), Vol. I, p. 353.

8.
Taylor, R. Eatock, and S. M. Hung. "Second order diffraction forces on a vertical cylinder in regular waves." Applied Ocean Research 9.1 (1987): 19-30.

9.
Tung, Chi C. "Hydrodynamic forces on submerged vertical circular cylindrical tanks under ground excitation." Applied Ocean Research 1.2 (1979): 75-78.