Abstract

The problem of fairing the hull surface of a ship is formulated as a linear programming problem using an analytic representation of the technique commonly employed in graphical lofts, i.e., the use of battens. With the help of a smoothing procedure devised for this problem it is shown how one may mathematically proceed from the naval architect's preliminary offsets to the faired, molded hull form with little, if any, human intervention; the final form satisfying the same continuity conditions as if it were faired graphically. The solution of the linear programming problem results in a surface equation from which all of the usual loft information needed for parts definition (shell-plate development, longitudinals, and so on) can be obtained. The method is intended to be accurate enough to be employed as a production tool in the shipyard. Examples of the application of the results to specific ship surfaces is presented.

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