%0 Journal Article %1 kim1965harmonic %A Kim, W. D. %B Journal of Fluid Mechanics %D 1965 %I Cambridge University Press %K 35j05-laplacian-operator-helmholtz-poisson-equation 35j08-pdes-elliptic-greens-functions 76b15-water-waves-gravity-waves %N 3 %P 427-451 %R 10.1017/S0022112065000253 %T On the harmonic oscillations of a rigid body on a free surface %U https://www.cambridge.org/core/article/on-the-harmonic-oscillations-of-a-rigid-body-on-a-free-surface/701FE476A5584252D3A6D44270F13F4B %V 21 %X The present paper deals with the practical and rigorous solution of the potential problem associated with the harmonic oscillation of a rigid body on a free surface. The body is assumed to have the form of either an elliptical cylinder or an ellipsoid. The use of Green's function reduces the determination of the potential to the solution of an integral equation. The integral equation is solved numerically and the dependency of the hydrodynamic quantities such as added mass, added moment of inertia and damping coefficients of the rigid body on the frequency of the oscillation is established.

@article{kim1965harmonic, abstract = {The present paper deals with the practical and rigorous solution of the potential problem associated with the harmonic oscillation of a rigid body on a free surface. The body is assumed to have the form of either an elliptical cylinder or an ellipsoid. The use of Green's function reduces the determination of the potential to the solution of an integral equation. The integral equation is solved numerically and the dependency of the hydrodynamic quantities such as added mass, added moment of inertia and damping coefficients of the rigid body on the frequency of the oscillation is established.}, added-at = {2021-04-16T02:57:59.000+0200}, author = {Kim, W. D.}, biburl = {https://www.bibsonomy.org/bibtex/2328f0798560dff46243e207f8da57fe7/gdmcbain}, booktitle = {Journal of Fluid Mechanics}, doi = {10.1017/S0022112065000253}, interhash = {00b3573cd224205c111c86625c3dd27d}, intrahash = {328f0798560dff46243e207f8da57fe7}, issn = {00221120}, keywords = {35j05-laplacian-operator-helmholtz-poisson-equation 35j08-pdes-elliptic-greens-functions 76b15-water-waves-gravity-waves}, number = 3, pages = {427-451}, publisher = {Cambridge University Press}, timestamp = {2021-04-16T05:47:11.000+0200}, title = {On the harmonic oscillations of a rigid body on a free surface}, url = {https://www.cambridge.org/core/article/on-the-harmonic-oscillations-of-a-rigid-body-on-a-free-surface/701FE476A5584252D3A6D44270F13F4B}, volume = 21, year = 1965 }