Accession Number : AD0259812

Title :   AN APPROXIMATION TO MICHELL'S INTEGRAL IN TERMS OF HULL FORM PARAMETERS

Corporate Author : CALIFORNIA UNIV BERKELEY INST OF ENGINEERING RESEARCH

Personal Author(s) : CUTHBERT,JERRY W.

Report Date : 31 MAR 1961

Pagination or Media Count : 1

Abstract : In order to find parameters most appropriate to the gravitational part of ship resistance, Michell's integral is studied, since this formulation is the only available analytic expression for any part of ship resistance. The procedure consists in approximating Michell's integral by replacing the hull in question with a phantom hull like it with respect to certain parameters. These parameters arise from an intuitively appealing criterion for approximation, a criterion which establishes an order for the introduction of parameters into the calculations. A pro f is given of convergence of the phantom hull resistance to the resistance of the subject hull as the number of parameters used becomes infinite. Furthermore, it is proved that the procedure constitutes a high-speed approximation in that an order of approximation subject to a certain maximum error at any speed gives, at most, that same error at any higher speed. (A thor)

Descriptors :   *SHIP HULLS, DIGITAL COMPUTERS, DRAG, GRAVITY, INTEGRAL EQUATIONS, INTEGRALS, MATHEMATICAL ANALYSIS, NUMERICAL ANALYSIS, SERIES(MATHEMATICS)

Distribution Statement : APPROVED FOR PUBLIC RELEASE