A Rational Strip Theory of Ship Motions: Part I
dc.contributor.author | Ogilvie, T. Francis | en_US |
dc.contributor.author | Tuck, Ernest O. | en_US |
dc.date.accessioned | 2012-06-21T21:25:46Z | |
dc.date.available | 2012-06-21T21:25:46Z | |
dc.date.issued | 1969-03-01 | en_US |
dc.identifier.uri | https://hdl.handle.net/2027.42/91655 | |
dc.description.abstract | The exact ideal_fluid boundary-value problem is formulated for a ship forced to heave and pitch sinusoidally in otherwise calm water. This problem is then simplified by applying three restrictions: 1) the body must be slender; 2) the motions must be small in amplitude compared with ship beam or draft; 3) the frequency of oscillation, w , must be high, viz., w= O(e-1/2), where e is the slenderness parameter. The hydrodynamic problem is then recast as a singular perturbation problem which is solved to order de2 by the method of matched asymptotic expansions. ( d is a motion_amplitude parameter.) Formulas are derived for the hydrodynamic heave force and pitch moment, from which added-mass and damping coefficients can be easily obtained. The latter are similar but not identical to those used in several other versions of "strip theory;" in particular, the forward_speed effects have the symmetry required by the theorem of Timman and Newman, a result which has not been realized in previous versions of strip theory. In order to calculate the coefficients by the formulas derived, it is necessary to solve numerically a set of boundary-value problems in two dimensions, namely, the problem of a cylinder oscillating vertically in the free surface. At least two practical procedures are available to this purpose. | en_US |
dc.publisher | University of Michigan | en_US |
dc.title | A Rational Strip Theory of Ship Motions: Part I | en_US |
dc.type | Technical Report | en_US |
dc.subject.hlbsecondlevel | Naval Architecture and Marine Engineering | en_US |
dc.subject.hlbtoplevel | Engineering | en_US |
dc.contributor.affiliationum | Department of Naval Architecture and Marine Engineering | en_US |
dc.contributor.affiliationother | University of Adelaide | en_US |
dc.description.bitstreamurl | http://deepblue.lib.umich.edu/bitstream/2027.42/91655/1/Publication_No_013.pdf | |
dc.owningcollname | Naval Architecture & Marine Engineering (NA&ME) |
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