Abstract
The paper presents a systematic way of designing ship hull form at the preliminary design stage. The lines creation problem both in two-dimensional (curve) and three-dimensional (surface) cases is mathematically cast into a form of constrained variational principles, whose mechanical analogues are string under tension, beam under bending and plate under bending. Finite element method is used to solve the constrained variational problems. The technique of calculating the hydrostatic particulars using the mathematically created hull surface is presented.
In addition, three methods for representing the hydrostatic curves are developed. The paper contains several applications of the theory given.
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