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Wave induced oscillations in harbors of arbitrary shape

Lee, Jiin-Jen (1969) Wave induced oscillations in harbors of arbitrary shape. California Institute of Technology . (Unpublished) http://resolver.caltech.edu/CaltechKHR:KH-R-20

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Abstract

Theoretical and experimental studies were conducted to investigate the wave induced oscillations in an arbitrary shaped harbor with constant depth which is connected to the open-sea. A theory termed the "arbitrary shaped harbor" theory is developed. The solution of the Helmholtz equation, v^2f + k^af = 0, is formulated as an integral equation; an approximate method is employed to solve the integral equation by converting it to a matrix equation. The final solution is obtained by equating, at the harbor entrance, the wave amplitude and its normal derivative obtained from the solutions for the regions outside and inside the harbor. Two special theories called the circular harbor theory and the rectangular harbor theory are also developed. The coordinates inside a circular and a rectangular harbor are separable: therefore, the solution for the region inside these harbors is obtained by the method of separation of variables. For the solution in the open-sea region, the same method is used as that employed for the arbitrary shaped harbor theory. The find solution is also obtained by a matching procedure similar to that used for the arbitrary shaped harbor theory. These two special theories provide a useful analytical check on the arbitrary shaped harbor theory.


Item Type:Report or Paper (Technical Report)
Group:W. M. Keck Laboratory of Hydraulics and Water Resources
Record Number:CaltechKHR:KH-R-20
Persistent URL:http://resolver.caltech.edu/CaltechKHR:KH-R-20
Usage Policy:You are granted permission for individual, educational, research and non-commercial reproduction, distribution, display and performance of this work in any format.
ID Code:25962
Collection:CaltechKHR
Deposited By: Imported from CaltechKHR
Deposited On:30 Apr 2004
Last Modified:26 Dec 2012 13:50

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